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Sample records for supersymmetry painleve iii

  1. How instanton combinatorics solves Painlev\\'e VI, V and III's

    CERN Document Server

    Gamayun, O; Lisovyy, O

    2013-01-01

    We elaborate on a recently conjectured relation of Painlev\\'e transcendents and 2D CFT. General solutions of Painlev\\'e VI, V and III are expressed in terms of $c=1$ conformal blocks and their irregular limits, AGT-related to instanton partition functions in $\\mathcal{N}=2$ supersymmetric gauge theories with $N_f=0,1,2,3,4$. Resulting combinatorial series representations of Painlev\\'e functions provide an efficient tool for their numerical computation at finite values of the argument. The series involve sums over bipartitions which in the simplest cases coincide with Gessel expansions of certain Toeplitz determinants. Considered applications include Fredholm determinants of classical integrable kernels, scaled gap probability in the bulk of the GUE, and all-order conformal perturbation theory expansions of correlation functions in the sine-Gordon field theory at the free-fermion point.

  2. Backlund transformation of Painleve III($D_8$) tau function

    CERN Document Server

    Bershtein, M A

    2016-01-01

    We study explicit formula (suggested by Gamayun, Iorgov, Lisovyy) for Painlev\\'e III ($D_8$) $\\tau$~function in terms of Virasoro conformal blocks with central charge $1$. The Painleve equation has two types of bilinear forms, we call them Toda-like and Okamoto-like. We obtain these equations from the representation theory using an embedding of direct sum of two Virasoro algebra in certain superalgebra. These two types of bilinear forms correspond to Neveu-Schwarz sector and Ramond sector of this algebra. We also obtain $\\tau$ functions of algebraic solutions of Painlev\\'e III ($D_8$) from the special representations of the Virasoro algebra of highest weight $(n+1/4)^2$.

  3. Studies on the Painlev\\'e Equations, V, \\\\ Third Painlev\\'e Equations \\\\ of Special Type $P_{\\rm III}(D_7)$ and $P_{\\rm III}(D_8)$

    OpenAIRE

    Ohyama, Yousuke; Kwamuko, Hiroyuki; Sakai, Hidetaka; Okamoto, Kazuo

    2006-01-01

    By means of geometrical classification (\\cite{S}) of space of initial conditions, it is natural to consider the three types, $P_{\\rm III}(D_6)$, $P_{\\rm III}(D_7)$ and $P_{\\rm III}(D_8)$, for the third Painlev\\'e equation. The fourth article of the series of papers \\cite{O2} on the Painlev\\'e equations is concerned with $P_{\\rm III}(D_6)$, generic type of the equation. The other two types, $P_{\\rm III}(D_7)$ and $P_{\\rm III}(D_8)$ are obtained as degeneration from $P_{\\rm III}(D_6...

  4. Generalized Burgers equations and Euler-Painlevé transcendents. III

    Science.gov (United States)

    Sachdev, P. L.; Nair, K. R. C.; Tikekar, V. G.

    1988-11-01

    It was proposed earlier [P. L. Sachdev, K. R. C. Nair, and V. G. Tikekar, J. Math. Phys. 27, 1506 (1986); P. L. Sachdev and K. R. C. Nair, ibid. 28, 977 (1987)] that the Euler-Painlevé equations y(d2y/dη2)+a(dy/dη)2 +f(η)y(dy/dη)+g(η)y2+b(dy/dη) +c=0 represent generalized Burgers equations (GBE's) in the same way as Painlevé equations represent the Korteweg-de Vries type of equations. The earlier studies were carried out in the context of GBE's with damping and those with spherical and cylindrical symmetry. In the present paper, GBE's with variable coefficients of viscosity and those with inhomogeneous terms are considered for their possible connection to Euler-Painlevé equations. It is found that the Euler-Painlevé equation, which represents the GBE ut+uβux=(δ/2)g(t)uxx, g(t)=(1+t)n, β>0, has solutions, which either decay or oscillate at η=±∞, only when -1Kamke [Differential Gleichungen : Lösungsmethoden und Lösungen (Akademische Verlagsgesellschaft, Leipzig, 1943)] and Murphy [Ordinary Differential Equations and their Solutions (Van Nostrand, Princeton, NJ, 1960)]. These latter equations arise from a wide range of physical applications and are of some historical interest as well. They are all special cases of a slightly generalized form of the Euler-Painlevé equation.

  5. How instanton combinatorics solves Painlevé VI, V and IIIs

    Science.gov (United States)

    Gamayun, O.; Iorgov, N.; Lisovyy, O.

    2013-08-01

    We elaborate on a recently conjectured relation of Painlevé transcendents and 2D conformal field theory. General solutions of Painlevé VI, V and III are expressed in terms of c = 1 conformal blocks and their irregular limits, AGT related to instanton partition functions in {N}=2 supersymmetric gauge theories with Nf = 0, 1, 2, 3, 4. The resulting combinatorial series representations of Painlevé functions provide an efficient tool for their numerical computation at finite values of the argument. The series involves sums over bipartitions which, in the simplest cases, coincide with Gessel expansions of certain Toeplitz determinants. Considered applications include Fredholm determinants of classical integrable kernels, scaled gap probability in the bulk of the Gaussian Unitary Ensemble, and all-order conformal perturbation theory expansions of correlation functions in the sine-Gordon field theory at the free-fermion point.

  6. Supersymmetry

    Energy Technology Data Exchange (ETDEWEB)

    Murayama, Hitoshi

    1994-06-01

    The author reviews phenomenologically interesting aspects of supersymmetry. First he points out that the discovery of the positron can be regarded as a historic analogue to the would-be discovery of supersymmetry. Second he reviews the recent topics on the unification of the gauge coupling constants, m{sub b}-M{sub {tau}} relation, proton decay, and baryogenesis. The author also briefly discusses the recent proposals to solve the problem of flavor changing neutral currents. Finally he argues that the measurements of supersymmetry parameters may probe the physics at the Planck scale.

  7. Divergent series, summability and resurgence III resurgent methods and the first Painlevé equation

    CERN Document Server

    Delabaere, Eric

    2016-01-01

    The aim of this volume is two-fold. First, to show how the resurgent methods introduced in volume 1 can be applied efficiently in a non-linear setting; to this end further properties of the resurgence theory must be developed. Second, to analyze the fundamental example of the First Painlevé equation. The resurgent analysis of singularities is pushed all the way up to the so-called “bridge equation”, which concentrates all information about the non-linear Stokes phenomenon at infinity of the First Painlevé equation. The third in a series of three, entitled Divergent Series, Summability and Resurgence, this volume is aimed at graduate students, mathematicians and theoretical physicists who are interested in divergent power series and related problems, such as the Stokes phenomenon. The prerequisites are a working knowledge of complex analysis at the first-year graduate level and of the theory of resurgence, as presented in volume 1. .

  8. Lax pairs for ultra-discrete Painleve cellular automata

    Energy Technology Data Exchange (ETDEWEB)

    Joshi, N [School of Mathematics and Statistics F07, University of Sydney, NSW 2006 Sydney (Australia); Nijhoff, F W [Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT (United Kingdom); Ormerod, C [School of Mathematics and Statistics F07, University of Sydney, NSW 2006 Sydney (Australia)

    2004-11-05

    Ultra-discrete versions of the discrete Painleve equations are well known. However, evidence for their integrability has so far been restricted. In this letter, we show that their Lax pairs can be constructed and, furthermore, that compatibility conditions of the result yield the ultra-discrete Painleve equation. For conciseness, we restrict our attention to a new d-P{sub III}. (letter to the editor)

  9. Explicit solution of the problem of equivalence for some Painleve equations

    CERN Document Server

    Kartak, V V

    2009-01-01

    For an arbitrary ordinary second order differential equation a test is constructed that checks if this equation is equivalent to Painleve I, II or Painleve III with three zero parameters equations under the substitutions of variables. If it is true then in case the Painleve equations I and II an explicite change of variables is given that is written using the differential invariants of the equation.

  10. Painleve Field Theory

    CERN Document Server

    Aminov, G; Levin, A; Olshanetsky, M; Zotov, A

    2013-01-01

    We propose multidimensional versions of the Painleve VI equation and its degenerations. These field theories are related to the isomonodromy problems of flat holomorphic infinite rank bundles over elliptic curves and take the form of non-autonomous Hamiltonian equations. The modular parameter of curves plays the role of "time". Reduction of the field equations to the zero modes leads to SL(N,C) monodromy preserving equations. The latter coincide with the Painleve VI equation for N=2. We consider two types of the bundles. In the first one the group of automorphisms is the centrally and cocentrally extended loop group L(SL(N,C)) or some multiloop group. In the case of the Painleve VI field theory in D=1+1 four constants of the Painleve VI equation become dynamical fields. The second type of bundles are defined by the group of automorphisms of the noncommutative torus. They lead to the equations in dimension 2+1. In both cases we consider trigonometric, rational and scaling limits of the theories. Generically (e...

  11. Fuchs versus Painleve

    Energy Technology Data Exchange (ETDEWEB)

    Boukraa, S [Universite de Blida, LPTHIRM and Departement d' Aeronautique, Blida (Algeria); Hassani, S [Centre de Recherche Nucleaire d' Alger, 2 Bd. Frantz Fanon, BP 399, 16000 Alger (Algeria); Maillard, J-M [LPTMC, Universite de Paris 6, Tour 24, 4eme etage, case 121, 4 Place Jussieu, 75252 Paris Cedex 05 (France); McCoy, B M [Institute for Theoretical Physics, State University of New York, Stony Brook (United States); Weil, J-A [XLIM, Universite de Limoges, 123 Avenue Albert Thomas, 87060 Limoges Cedex (France); Zenine, N [Centre de Recherche Nucleaire d' Alger, 2 Bd. Frantz Fanon, BP 399, 16000 Alger (Algeria)

    2007-10-19

    We, briefly, recall the Fuchs-Painleve elliptic representation of Painleve VI. We then show that the polynomiality of the expressions of the correlation functions (and form factors) in terms of the complete elliptic integral of the first and second kinds, K and E, is a straight consequence of the fact that the differential operators corresponding to the entries of Toeplitz-like determinants are equivalent to the second-order operator L{sub E} which has E as solution (or for off-diagonal correlations to the direct sum of L{sub E} and d/dt). We show that this can be generalized, mutatis mutandis, to the anisotropic Ising model. The singled-out second-order linear differential operator L{sub E} is replaced by an isomonodromic system of two third-order linear partial differential operators associated with {pi}{sub 1}, the Jacobi's form of the complete elliptic integral of the third kind (or equivalently two second-order linear partial differential operators associated with Appell functions, where one of these operators can be seen as a deformation of L{sub E}). We finally explore the generalizations, to the anisotropic Ising models, of the links we made, in two previous papers, between Painleve nonlinear ODEs, Fuchsian linear ODEs and elliptic curves. In particular, the elliptic representation of Painleve VI has to be generalized to an 'Appellian' representation of Garnier systems.

  12. Quantum Painleve-Calogero correspondence for Painleve VI

    Energy Technology Data Exchange (ETDEWEB)

    Zabrodin, A. [National Research University Higher School of Economics, 20 Myasnitskaya Ulitsa, Moscow 101000 (Russian Federation); Institute of Biochemical Physics, Kosygina str. 4, 119991 Moscow (Russian Federation); ITEP, Bol. Cheremushkinskaya str. 25, 117259 Moscow (Russian Federation); Zotov, A. [ITEP, Bol. Cheremushkinskaya str. 25, 117259 Moscow (Russian Federation)

    2012-07-15

    This paper is a continuation of our previous paper where the Painleve-Calogero correspondence has been extended to auxiliary linear problems associated with Painleve equations. We have proved, for the first five equations from the Painleve list, that one of the linear problems can be recast in the form of the non-stationary Schroedinger equation whose Hamiltonian is a natural quantization of the classical Calogero-like Hamiltonian for the corresponding Painleve equation. In the present paper we establish the quantum Painleve-Calogero correspondence for the most general case, the Painleve VI equation. We also show how the desired special gauge and the needed choice of variables can be derived starting from the corresponding Schlesinger system with rational spectral parameter.

  13. Quantum Painleve-Calogero Correspondence

    CERN Document Server

    Zabrodin, A

    2011-01-01

    The Painleve-Calogero correspondence is extended to auxiliary linear problems associated with Painleve equations. The linear problems are represented in a new form which has a suggestive interpretation as a "quantized" version of the Painleve-Calogero correspondence. Namely, the linear problem responsible for the time evolution is brought into the form of non-stationary Schrodinger equation in imaginary time, $\\p_t \\psi =(1/2\\, \\p_x^2 +V(x,t))\\psi$, whose Hamiltonian is a natural quantization of the classical Calogero-like Hamiltonian $H=1/2\\, p^2 +V(x,t)$ for the corresponding Painleve equation.

  14. Quantum Painleve-Calogero correspondence

    Energy Technology Data Exchange (ETDEWEB)

    Zabrodin, A. [National Research University Higher School of Economics, 20 Myasnitskaya Ulitsa, Moscow 101000 (Russian Federation); Institute of Biochemical Physics, Kosygina str. 4, 119991 Moscow (Russian Federation) and ITEP, Bol. Cheremushkinskaya str. 25, 117259 Moscow (Russian Federation); Zotov, A. [ITEP, Bol. Cheremushkinskaya str. 25, 117259 Moscow (Russian Federation)

    2012-07-15

    The Painleve-Calogero correspondence is extended to auxiliary linear problems associated with Painleve equations. The linear problems are represented in a new form which has a suggestive interpretation as a 'quantized' version of the Painleve-Calogero correspondence. Namely, the linear problem responsible for the time evolution is brought into the form of non-stationary Schroedinger equation in imaginary time, {partial_derivative}{sub t}{psi}=((1/2) {partial_derivative}{sub x}{sup 2}+V(x,t)){psi}, whose Hamiltonian is a natural quantization of the classical Calogero-like Hamiltonian H=(1/2) p{sup 2}+V(x,t) for the corresponding Painleve equation. In present paper, we present explicit constructions for the first five equations from the Painleve list.

  15. Beta ensembles, quantum Painlev\\'e equations and isomonodromy systems

    CERN Document Server

    Rumanov, Igor

    2014-01-01

    This is a review of recent developments in the theory of beta ensembles of random matrices and their relations with conformal filed theory (CFT). There are (almost) no new results here. This article can serve as a guide on appearances and studies of quantum Painlev\\'e and more general multidimensional linear equations of Belavin-Polyakov-Zamolodchikov (BPZ) type in literature. We demonstrate how BPZ equations of CFT arise from $\\beta$-ensemble eigenvalue integrals. Quantum Painlev\\'e equations are relatively simple instances of BPZ or confluent BPZ equations, they are PDEs in two independent variables ("time" and "space"). While CFT is known as quantum integrable theory, here we focus on the appearing links of $\\beta$-ensembles and CFT with {\\it classical} integrable structure and isomonodromy systems. The central point is to show on the example of quantum Painlev\\'e II (QPII)~\\cite{betaFP1} how classical integrable structure can be extended to general values of $\\beta$ (or CFT central charge $c$), beyond the...

  16. Supersymmetry and integrability in planar mechanical systems

    Energy Technology Data Exchange (ETDEWEB)

    Assis, Leonardo P.G. de; Helayel-Neto, Jose A. [Grupo de Fisica Teorica Jose Leite Lopes, Petropolis, RJ (Brazil)]. E-mail: lpgassis@cbpf.br; helayel@cbpf.br; Paschoal, Ricardo C. [Centro de Tecnologia da Industria Quimica e/ Textil (SENAI/CETIQT), Rio de Janeiro, RJ (Brazil)]. E-mail: paschoal@cbpf.br

    2005-05-15

    We present an N = 2-supersymmetric mechanical system whose bosonic sector, with two degrees of freedom, stems from the reduction of an SU(2) Yang-Mills theory with the assumption of spatially homogeneous field configurations and a particular Ansatz imposed on the gauge potentials in the dimensional reduction procedure. The Painleve test is adopted to discuss integrability and we focus on the role of supersymmetry and parity invariance in two space dimensions for the attainment of integrable or chaotic models. Our conclusion is that the relationships among the parameters imposed by supersymmetry seem to drastically reduce the number of possibilities for integrable interaction potentials of the mechanical system under consideration. (author)

  17. IMPACT MODEL RESOLUTION ON PAINLEV(E)'S PARADOX

    Institute of Scientific and Technical Information of China (English)

    ZHAO Zhen; CHEN Bin; LIU Caishan; JIN Hai

    2004-01-01

    Painlevé's paradox is one of the basic difficulties for solving LCP of dynamic systems subjected to unilateral constraints. A bi-nonlinear parameterized impact model, consistent with dynamic principles and experimental results, is established on the localized and quasi-static impact model theory. Numerical simulations are carried out on the dynamic motion of Painleve's example. The results confirm "impact without collision" in the inconsistent states of the system. A "critical normal force" which brings an important effect on the future movement of the system in the indeterminate states is found. After the motion pattern for the impact process is obtained from numerical results,a rule of the velocity's jump that incorporates the tangential impact process is deduced by using an approximate impulse theory and the coefficient of restitution defined by Stronge. The results of the jump rule are quite precise if the system rigidity is big enough.

  18. Supersymmetry and String Theory

    Science.gov (United States)

    Dine, Michael

    2016-01-01

    Preface to the first edition; Preface to the second edition; A note on choice of metric; Text website; Part I. Effective Field Theory: The Standard Model, Supersymmetry, Unification: 1. Before the Standard Model; 2. The Standard Model; 3. Phenomenology of the Standard Model; 4. The Standard Model as an effective field theory; 5. Anomalies, instantons and the strong CP problem; 6. Grand unification; 7. Magnetic monopoles and solitons; 8. Technicolor: a first attempt to explain hierarchies; Part II. Supersymmetry: 9. Supersymmetry; 10. A first look at supersymmetry breaking; 11. The Minimal Supersymmetric Standard Model; 12. Supersymmetric grand unification; 13. Supersymmetric dynamics; 14. Dynamical supersymmetry breaking; 15. Theories with more than four conserved supercharges; 16. More supersymmetric dynamics; 17. An introduction to general relativity; 18. Cosmology; 19. Astroparticle physics and inflation; Part III. String Theory: 20. Introduction; 21. The bosonic string; 22. The superstring; 23. The heterotic string; 24. Effective actions in ten dimensions; 25. Compactification of string theory I. Tori and orbifolds; 26. Compactification of string theory II. Calabi-Yau compactifications; 27. Dynamics of string theory at weak coupling; 28. Beyond weak coupling: non-perturbative string theory; 29. Large and warped extra dimensions; 30. The landscape: a challenge to the naturalness principle; 31. Coda: where are we headed?; Part IV. The Appendices: Appendix A. Two-component spinors; Appendix B. Goldstone's theorem and the pi mesons; Appendix C. Some practice with the path integral in field theory; Appendix D. The beta function in supersymmetric Yang-Mills theory; References; Index.

  19. Painlevé analysis and exact solutions of a modified Boussinesq equation

    CERN Document Server

    Liu, Q P

    1995-01-01

    We consider a modified Boussinesq type equation. The Painlev\\'{e} test of the WTC method is performed for this equation and it shows that the equation has weak Painlev\\'{e} property. Some exact solutions are constructed.

  20. Generalized Painleve-Gullstrand metrics

    Energy Technology Data Exchange (ETDEWEB)

    Lin Chunyu [Department of Physics, National Cheng Kung University, Tainan 70101, Taiwan (China)], E-mail: l2891112@mail.ncku.edu.tw; Soo Chopin [Department of Physics, National Cheng Kung University, Tainan 70101, Taiwan (China)], E-mail: cpsoo@mail.ncku.edu.tw

    2009-02-02

    An obstruction to the implementation of spatially flat Painleve-Gullstrand (PG) slicings is demonstrated, and explicitly discussed for Reissner-Nordstroem and Schwarzschild-anti-deSitter spacetimes. Generalizations of PG slicings which are not spatially flat but which remain regular at the horizons are introduced. These metrics can be obtained from standard spherically symmetric metrics by physical Lorentz boosts. With these generalized PG metrics, problematic contributions to the imaginary part of the action in the Parikh-Wilczek derivation of Hawking radiation due to the obstruction can be avoided.

  1. The Painlevé Handbook

    CERN Document Server

    Conte, Robert

    2008-01-01

    Nonlinear differential or difference equations are encountered not only in mathematics, but also in many areas of physics (evolution equations, propagation of a signal in an optical fiber), chemistry (reaction-diffusion systems), and biology (competition of species). This book introduces the reader to methods allowing one to build explicit solutions to these equations. A prerequisite task is to investigate whether the chances of success are high or low, and this can be achieved without any a priori knowledge of the solutions, with a powerful algorithm presented in detail called the Painlevé test. If the equation under study passes the Painlevé test, the equation is presumed integrable. If on the contrary the test fails, the system is nonintegrable or even chaotic, but it may still be possible to find solutions. The examples chosen to illustrate these methods are mostly taken from physics. These include on the integrable side the nonlinear Schrödinger equation (continuous and discrete), the Korteweg-de Vrie...

  2. Supersymmetry: proceedings

    Energy Technology Data Exchange (ETDEWEB)

    Brennan, E.C. (ed.)

    1985-07-01

    Some lectures in these proceedings examine the theoretical basis for supersymmetry, recent developments in theories with compact dimensions, and experimental searches for supersymmetric signatures. Technologies are explored for obtaining very high energy electron-positron colliding beams. Separate abstracts were prepared for 35 papers in these conference proceedings. (LEW)

  3. Supersymmetry breaking

    Indian Academy of Sciences (India)

    Emilian Dudas

    2009-01-01

    We review the various mechanisms of supersymmetry breaking and its trans-mission to the observable sector. We argue that hybrid models where gauge dominates over gravity mediation, but gravity provides the main contributions to the Higgs sector masses and the neutralino mass, are able to combine the advantages and reduce the disadvantages of the two transmission mechanisms.

  4. A unified approach to the Painleve Transcendents

    OpenAIRE

    2016-01-01

    We utilise a recent approach via the so-called re-scaling method to derive a unified and comprehensive theory of the solutions to Painleve's differential equations (I), (II) and (IV), with emphasis on the most elaborate equation (IV).

  5. La propiedad de Painlevé

    Directory of Open Access Journals (Sweden)

    Jorge Fujioka

    2001-01-01

    Full Text Available Este artículo comienza con una breve reseña histórica de la propiedad Painlevé. Posteriormente se aplica la prueba de Painlevé a dos ecuaciones diferenciales parciales no lineales (la ecuación de Tu, y una extensión de la ecuación mKdV que no habían sido analizados de esta forma con anterioridad y se demuestra que ambas ecuaciones poseen la propiedad de Painlevé. El análisis de Painlevé se utiliza también para determinar una transformación de Bäcklund y la forma bilineal de la ecuación Tu; además se encuentra una reducción de similiridad para esta ecuación mediante el método de Clarkson y Kruskal.

  6. Baecklund transformations for a matrix second Painleve equation

    Energy Technology Data Exchange (ETDEWEB)

    Gordoa, P.R. [Departamento de Matematica Aplicada, ESCET, Universidad Rey Juan Carlos, C/ Tulipan s/n, 28933 Mostoles, Madrid (Spain); Pickering, A., E-mail: andrew.pickering@urjc.e [Departamento de Matematica Aplicada, ESCET, Universidad Rey Juan Carlos, C/ Tulipan s/n, 28933 Mostoles, Madrid (Spain); Zhu, Z.N. [Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai 200240 (China)

    2010-07-26

    Higher-order Painleve equations are a topic of much current interest. Here we are interested in deriving auto-Baecklund transformations for one particular kind of higher-order Painleve equation, namely, a matrix Painleve equation. The extension of a recently derived approach to deal with the matrix second Painleve equation considered here represents a further demonstration of that approach's efficacy.

  7. Painlev\\'e representation of Tracy-Widom$_\\beta$ distribution for $\\beta = 6$

    CERN Document Server

    Rumanov, Igor

    2014-01-01

    In \\cite{betaFP1}, we found explicit Lax pairs for the soft edge of beta ensembles with even integer values of $\\beta$. Using this general result, the case $\\beta=6$ is further considered here. This is the smallest even $\\beta$, when the corresponding Lax pair and its relation to Painlev\\'e II (PII) have not been known before, unlike cases $\\beta=2$ and $4$. It turns out that again everything can be expressed in terms of the Hastings-McLeod solution of PII. In particular, a second order nonlinear ODE for the logarithmic derivative of Tracy-Widom distribution for $\\beta=6$ involving the PII function in the coefficients, is found, which allows one to compute asymptotics for the distribution function. The ODE is a consequence of a linear system of three ODEs for which the local Painlev\\'e analysis yields series solutions with exponents in the set $4/3$, $1/3$ and $-2/3$.

  8. The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlev\\'e equation

    CERN Document Server

    Filipuk, Galina; Zhang, Lun

    2011-01-01

    We show that the coefficients of the three-term recurrence relation for orthogonal polynomials with respect to a semi-classical extension of the Laguerre weight satisfy the fourth Painlev\\'e equation when viewed as functions of one of the parameters in the weight. We compare different approaches to derive this result, namely, the ladder operators approach, the isomonodromy deformations approach and combining the Toda system for the recurrence coefficients with a discrete equation. We also discuss a relation between the recurrence coefficients for the Freud weight and the semi-classical Laguerre weight and show how it arises from the B\\"acklund transformation of the fourth Painlev\\'e equation.

  9. Discrete matrix models for partial sums of conformal blocks associated to Painlev\\'e transcendents

    CERN Document Server

    Balogh, F

    2014-01-01

    A recently formulated conjecture of Gamayun, Iorgov and Lisovyy gives an asymptotic expansion of the Jimbo--Miwa--Ueno isomonodromic $\\tau$-function for certain Painlev\\'e transcendents. The coefficients in this expansion are given in terms of conformal blocks of a two-dimensional conformal field theory, which can be written as infinite sums over pairs of partitions. In this note a discrete matrix model is proposed on a lattice whose partition function can be used to obtain a multiple integral representation for the length restricted partial sums of the Painlev\\'e conformal blocks. This leads to expressions of the partial sums involving H\\"ankel determinants associated to the discrete measure of the matrix model, or equivalently, Wronskians of the corresponding moment generating function which is shown to be of the generalized hypergeometric type.

  10. Painlevé IV coherent states

    Energy Technology Data Exchange (ETDEWEB)

    Bermudez, David, E-mail: david.bermudez@weizmann.ac.il [Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100 (Israel); Departamento de Física, Cinvestav, A.P. 14-740, 07000 México D.F. (Mexico); Contreras-Astorga, Alonso, E-mail: aloncont@iun.edu [Department of Mathematics and Actuarial Science, Indiana University Northwest, 3400 Broadway, Gary IN 46408 (United States); Departamento de Física, Cinvestav, A.P. 14-740, 07000 México D.F. (Mexico); Fernández C, David J., E-mail: david@fis.cinvestav.mx [Departamento de Física, Cinvestav, A.P. 14-740, 07000 México D.F. (Mexico)

    2014-11-15

    A simple way to find solutions of the Painlevé IV equation is by identifying Hamiltonian systems with third-order differential ladder operators. Some of these systems can be obtained by applying supersymmetric quantum mechanics (SUSY QM) to the harmonic oscillator. In this work, we will construct families of coherent states for such subset of SUSY partner Hamiltonians which are connected with the Painlevé IV equation. First, these coherent states are built up as eigenstates of the annihilation operator, then as displaced versions of the extremal states, both involving the related third-order ladder operators, and finally as extremal states which are also displaced but now using the so called linearized ladder operators. To each SUSY partner Hamiltonian corresponds two families of coherent states: one inside the infinite subspace associated with the isospectral part of the spectrum and another one in the finite subspace generated by the states created through the SUSY technique. - Highlights: • We use SUSY QM to obtain Hamiltonians with third-order differential ladder operators. • We show that these systems are related with the Painlevé IV equation. • We apply different definitions of coherent states to these Hamiltonians using the third-order ladder operators and some linearized ones. • We construct families of coherent states for such systems, which we called Painlevé IV coherent states.

  11. Quantum Painlevé Equations: from Continuous to Discrete

    Directory of Open Access Journals (Sweden)

    Alfred Ramani

    2008-06-01

    Full Text Available We examine quantum extensions of the continuous Painlevé equations, expressed as systems of first-order differential equations for non-commuting objects. We focus on the Painlevé equations II, IV and V. From their auto-Bäcklund transformations we derive the contiguity relations which we interpret as the quantum analogues of the discrete Painlevé equations.

  12. Supersymmetric quantum mechanics and Painleve equations

    CERN Document Server

    Bermudez, David

    2013-01-01

    In these lecture notes we shall study first the supersymmetric quantum mechanics (SUSY QM), specially when applied to the harmonic and radial oscillators. In addition, we will define the polynomial Heisenberg algebras (PHA), and we will study the general systems ruled by them: for zero and first order we obtain the harmonic and radial oscillators, respectively; for second and third order PHA the potential is determined by solutions to Painleve IV (PIV) and Painleve V (PV) equations. Taking advantage of this connection, later on we will find solutions to PIV and PV equations expressed in terms of confluent hypergeometric functions. Furthermore, we will classify them into several solution hierarchies, according to the specific special functions they are connected with.

  13. A Riemann-Hilbert approach to Painleve IV

    NARCIS (Netherlands)

    Put, M. van der; Top, J.

    2013-01-01

    The methods of [vdP-Sa, vdP1, vdP2] are applied to the fourth Painleve equation. One obtains a Riemann-Hilbert correspondence between moduli spaces of rank two connections on P-1 and moduli spaces for the monodromy data. The moduli spaces for these connections are identified with Okamoto-Painleve va

  14. A Riemann-Hilbert approach to Painleve IV

    NARCIS (Netherlands)

    Put, M. van der; Top, J.

    2013-01-01

    The methods of [vdP-Sa, vdP1, vdP2] are applied to the fourth Painleve equation. One obtains a Riemann-Hilbert correspondence between moduli spaces of rank two connections on P-1 and moduli spaces for the monodromy data. The moduli spaces for these connections are identified with Okamoto-Painleve va

  15. Nonlinear evolution equations and Painlevé test

    CERN Document Server

    Steeb, Willi-Hans

    1988-01-01

    This book is an edited version of lectures given by the authors at a seminar at the Rand Afrikaans University. It gives a survey on the Painlevé test, Painlevé property and integrability. Both ordinary differential equations and partial differential equations are considered.

  16. Moduli spaces for linear differential equations and the Painlev'e equations

    NARCIS (Netherlands)

    Put, Marius van der; Saito, Masa-Hiko

    2009-01-01

    In this paper, we give a systematic construction of ten isomonodromic families of connections of rank two on P1 inducing Painlev´e equations. The classification of ten families is given by considering the Riemann-Hilbert morphism from a moduli space of connections with certain type of regular and ir

  17. Exact Lattice Supersymmetry

    Energy Technology Data Exchange (ETDEWEB)

    Catterall, Simon; Kaplan, David B.; Unsal, Mithat

    2009-03-31

    We provide an introduction to recent lattice formulations of supersymmetric theories which are invariant under one or more real supersymmetries at nonzero lattice spacing. These include the especially interesting case of N = 4 SYM in four dimensions. We discuss approaches based both on twisted supersymmetry and orbifold-deconstruction techniques and show their equivalence in the case of gauge theories. The presence of an exact supersymmetry reduces and in some cases eliminates the need for fine tuning to achieve a continuum limit invariant under the full supersymmetry of the target theory. We discuss open problems.

  18. Generalized Painlev\\'e-Gullstrand metrics

    CERN Document Server

    Lin, Chun-Yu

    2008-01-01

    An obstruction to the implementation of spatially flat Painleve-Gullstrand(PG) slicings is demonstrated, and explicitly discussed for Reissner-Nordstrom and Schwarzschild-anti-deSitter spacetimes. Generalizations of PG slicings which are not spatially flat but which remain regular at the horizons are introduced. These metrics can be obtained from standard spherically symmetric metrics by physical Lorentz boosts. With these generalized PG metrics, problematic contributions to the imaginary part of the action in the Parikh-Wilczek derivation of Hawking radiation due to the obstruction can be avoided.

  19. The Ward ansaetze and Painleve tau function

    Energy Technology Data Exchange (ETDEWEB)

    Mo, M Y [Department of Mathematics, University of Bristol, University Walk, Bristol, BS8 ITW (United Kingdom)

    2008-10-03

    We have classified a tau function for the hypergeometric solutions of the Painleve VI equation constructed by Shah and Woodhouse (2006 J. Phys. A: Math. Gen. 39, 12265-9) through twistor methods. We have shown that the tau function is the product of a Toeplitz determinant and a power of the time variable t. In a suitable trivialization of the twistor bundle, the symbol of this Toeplitz determinant is the minus of the off-diagonal entry in the patching matrix. The method can also be applied to other solutions obtained from the Ward ansaetze.

  20. Supersymmetry from Typicality

    CERN Document Server

    Nomura, Yasunori

    2014-01-01

    We argue that under a set of simple assumptions the multiverse leads to low energy supersymmetry with the spectrum often called spread or mini-split supersymmetry: the gauginos are in the TeV region with the other superpartners two or three orders of magnitude heavier. We present a particularly simple realization of supersymmetric grand unified theory using this idea.

  1. Noncommutative Nonlinear Supersymmetry

    CERN Document Server

    Nishino, H; Nishino, Hitoshi; Rajpoot, Subhash

    2002-01-01

    We present noncommutative nonlinear supersymmetric theories. The first example is a non-polynomial Akulov-Volkov-type lagrangian with noncommutative nonlinear global supersymmetry in arbitrary space-time dimensions. The second example is the generalization of this lagrangian to Dirac-Born-Infeld lagrangian with nonlinear supersymmetry realized in dimensions D=2,3,4 and 6 (mod 8).

  2. Quantum Extended Supersymmetries

    CERN Document Server

    Grigore, D R; Grigore, Dan Radu; Scharf, Gunter

    2003-01-01

    We analyse some quantum multiplets associated with extended supersymmetries. We study in detail the general form of the causal (anti)commutation relations. The condition of positivity of the scalar product imposes severe restrictions on the (quantum) model. It is problematic if one can find out quantum extensions of the standard model with extended supersymmetries.

  3. Stealth Supersymmetry Simplified

    CERN Document Server

    Fan, JiJi; Pinner, David; Reece, Matthew; Ruderman, Joshua T

    2015-01-01

    In Stealth Supersymmetry, bounds on superpartners from direct searches can be notably weaker than in standard supersymmetric scenarios, due to suppressed missing energy. We present a set of simplified models of Stealth Supersymmetry that motivate 13 TeV LHC searches. We focus on simplified models within the Natural Supersymmetry framework, in which the gluino, stop, and Higgsino are assumed to be lighter than other superpartners. Our simplified models exhibit novel decay patterns that differ significantly from topologies of the Minimal Supersymmetric Standard Model, with and without $R$-parity. We determine limits on stops and gluinos from searches at the 8 TeV LHC. Existing searches constitute a powerful probe of Stealth Supersymmetry gluinos with certain topologies. However, we identify simplified models where the gluino can be considerably lighter than 1 TeV. Stops are significantly less constrained in Stealth Supersymmetry than the MSSM, and we have identified novel stop decay topologies that are complete...

  4. On irregular conformal blocks, with an application to the Painlev\\'e functions

    CERN Document Server

    Nagoya, Hajime

    2015-01-01

    We develop the theory on irregular conformal blocks of the Virasoro algebra. In previous studies, expansions of irregular conformal blocks at regular singular points were obtained as degeneration limits of regular conformal blocks, however, expansions of those at irregular singular points were not understood clearly. This is because precise definitions of irregular vertex operators had not given before. In this paper, we give precise definitions of irregular vertex operators of two kinds and conjecture that they exist uniquely. Then, we define irregular conformal blocks with at most two irregular singular points, as expectation values of the given irregular vertex operators. Our definitions give an understanding of expansions of irregular conformal blocks and are enable us to obtain expansions at irregular singular points. As an application, we give conjectural formulas of Fourier expansions of the tau functions of the fifth and fourth Painlev\\'e functions, using expansions of irregular conformal blocks at an...

  5. Dynamics of mechanical systems with multiple sliding contacts: new faces of Painlev\\'e's paradox

    CERN Document Server

    Várkonyi, Péter L

    2016-01-01

    We investigate the dynamics of finite degree-of-freedom, planar mechanical systems with multiple sliding, unilateral frictional point contacts. A complete classification of systems with 2 sliding contacts is given. The contact-mode based approach of rigid body mechanics is combined with linear stability analysis using a compliant contact model to determine the feasibility and the stability of every possible contact mode in each class. Special forms of non-stationary contact dynamics including "impact without collision" and "reverse chattering" are also investigated. Many types of solution inconsistency and the indeterminacy are identified and new phenomena related to Painlev\\'e"s non-existence and non-uniqueness paradoxes are discovered. Among others, we show that the non-existence paradox is not fully resolvable by considering impulsive contact forces. These results contribute to a growing body of evidence that rigid body mechanics cannot be developed into a complete and self-consistent theory in the presenc...

  6. Painlev\\'e VI connection problem and monodromy of c=1 conformal blocks

    CERN Document Server

    Iorgov, N; Tykhyy, Yu

    2013-01-01

    Generic c=1 four-point conformal blocks on the Riemann sphere can be seen as the coefficients of Fourier expansion of the tau function of Painlev\\'e VI equation with respect to one of its integration constants. Based on this relation, we show that c=1 fusion matrix essentially coincides with the connection coefficient relating tau function asymptotics at different critical points. Explicit formulas for both quantities are obtained by solving certain functional relations which follow from the tau function expansions. The final result does not involve integration and is given by a ratio of two products of Barnes G-functions with arguments expressed in terms of conformal dimensions/monodromy data. It turns out to be closely related to the volume of hyperbolic tetrahedron.

  7. Painlevé differential equations in the complex plane

    CERN Document Server

    Gromak, Valerii I; Shimomura, Shun

    2002-01-01

    This book is the first comprehensive treatment of Painlevé differential equations in the complex plane. Starting with a rigorous presentation for the meromorphic nature of their solutions, the Nevanlinna theory will be applied to offer a detailed exposition of growth aspects and value distribution of Painlevé transcendents. The subsequent main part of the book is devoted to topics of classical background such as representations and expansions of solutions, solutions of special type like rational and special transcendental solutions, Bäcklund transformations and higher order analogues, treated separately for each of these six equations. The final chapter offers a short overview of applications of Painlevé equations, including an introduction to their discrete counterparts. Due to the present important role of Painlevé equations in physical applications, this monograph should be of interest to researchers in both mathematics and physics and to graduate students interested in mathematical physics and the th...

  8. The Painleve paradox in contact mechanics

    CERN Document Server

    Champneys, Alan R

    2016-01-01

    The 120-year old so-called Painleve paradox involves the loss of determinism in models of planar rigid bodies in point contact with a rigid surface, subject to Coulomb-like dry friction. The phenomenon occurs due to coupling between normal and rotational degrees-of-freedom such that the effective normal force becomes attractive rather than repulsive. Despite a rich literature, the forward evolution problem remains unsolved other than in certain restricted cases in 2D with single contact points. Various practical consequences of the theory are revisited, including models for robotic manipulators, and the strange behaviour of chalk when pushed rather than dragged across a blackboard. Reviewing recent theory, a general formulation is proposed, including a Poisson or energetic impact law. The general problem in 2D with a single point of contact is discussed and cases or inconsistency or indeterminacy enumerated. Strategies to resolve the paradox via contact regularisation are discussed from a dynamical systems po...

  9. Singular Instantons and Painlevé VI

    Science.gov (United States)

    Muñiz Manasliski, Richard

    2016-06-01

    We consider a two parameter family of instantons, which is studied in [Sadun L., Comm. Math. Phys. 163 (1994), 257-291], invariant under the irreducible action of SU_2 on S^4, but which are not globally defined. We will see that these instantons produce solutions to a one parameter family of Painlevé VI equations (P_VI}) and we will give an explicit expression of the map between instantons and solutions to P_{VI}. The solutions are algebraic only for that values of the parameters which correspond to the instantons that can be extended to all of S^4. This work is a generalization of [Muñiz Manasliski R., Contemp. Math., Vol. 434, Amer. Math. Soc., Providence, RI, 2007, 215-222] and [Muñiz Manasliski R., J. Geom. Phys. 59 (2009), 1036-1047, arXiv:1602.07221], where instantons without singularities are studied.

  10. An asymptotic reduction of a Painlevé VI equation to a Painlevé III

    Science.gov (United States)

    Guzzetti, Davide

    2011-05-01

    When the independent variable is close to a critical point, it is shown that PVI can be asymptotically reduced to PIII. In this way, it is possible to compute the leading term of the critical behaviors of PVI transcendents starting from the behaviors of PIII transcendents.

  11. $q$-deformed Painleve tau function and q-deformed conformal blocks

    CERN Document Server

    Bershtein, M A

    2016-01-01

    We propose $q$-deformation of the Gamayun-Iorgov-Lisovyy formula for Painlev\\'e $\\tau$ function. Namely we propose formula for $\\tau$ function for $q$-difference Painlev\\'e equation corresponding to $A_7^{(1)}{}'$ surface (and $A_1^{(1)}$ symmetry) in Sakai classification. In this formula $\\tau$ function equals the series of $q$-Virasoro Whittaker conformal blocks (equivalently Nekrasov partition functions for pure $SU(2)$ 5d theory).

  12. Painlevé Analysis and Some Solutions of(2+1)-Dimensional Generalized Burgers Equations

    Institute of Scientific and Technical Information of China (English)

    HONG Ke-Zhu; WU B-in; CHEN Xian-Feng

    2003-01-01

    Burgers equation ut = 2uux + uxx describes a lot of phenomena in physics fields, and it has attracted much attention.In this paper,the Burgers equation is generalized to (2+1) dimensions.By means of the Painlev(e') analysis,the most generalized Painlev(e') integrable(2+1)-dimensional integrable Burgers systems are obtained.Some exact solutions of the generalized Burgers system are obtained via variable separation approach.

  13. Superworld without Supersymmetry

    CERN Document Server

    Chakdar, Shreyashi; Nandi, S

    2015-01-01

    It is a possibility that the superworld (supersymmetric partners of our world) does exist without supersymmetry. The two worlds are being distinguished by an unbroken discrete $Z_2$ symmetry (similar to R-parity in supersymmetry). We lose the solution to the hierarchy problem. However, such a scenario has several motivations. For example, the lightest neutral superworld particle will be a candidate for dark matter. The other being, as in supersymmetry, it is possible to achieve gauge coupling unification. One major difference with the supersymmetric theory is that such a theory is much more general since it is not constrained by supersymmetry. For example, some of the gauge couplings connecting the Standard Model particles with the superpartners now become free Yukawa couplings. As a result, the final state signals as well as the limits on the superworld particles can be modified both qualitatively and quantitatively. The reach for these superworld particles at the Large Hadron Collider (LHC) can be much high...

  14. Dynamical Supersymmetry Breaking

    CERN Document Server

    Shadmi, Y; Shadmi, Yael; Shirman, Yuri

    2000-01-01

    Supersymmetry is one of the most plausible and theoretically motivated frameworks for extending the Standard Model. However, any supersymmetry in Nature must be a broken symmetry. Dynamical supersymmetry breaking (DSB) is an attractive idea for incorporating supersymmetry into a successful description of Nature. The study of DSB has recently enjoyed dramatic progress, fueled by advances in our understanding of the dynamics of supersymmetric field theories. These advances have allowed for direct analysis of DSB in strongly coupled theories, and for the discovery of new DSB theories, some of which contradict early criteria for DSB. We review these criteria, emphasizing recently discovered exceptions. We also describe, through many examples, various techniques for directly establishing DSB by studying the infrared theory, including both older techniques in regions of weak coupling, and new techniques in regions of strong coupling. Finally, we present a list of representative DSB models, their main properties, an...

  15. Supersymmetry Searches with ATLAS

    CERN Document Server

    Hill, Ewan; The ATLAS collaboration

    2015-01-01

    Supersymmetry is one of the best motivated and studied theories of physics beyond the Standard Model. This talk summarises recent ATLAS results on searches for supersymmetric particles. Weak and strong production Supersymmetry scenarios are considered, along with direct production of third generation supersymmtric particles. The searches involve final states including jets, missing transverse momentum, leptons, and long lived particles. Sensitivity projections for the 13 TeV data are also presented.

  16. A note on the Painleve analysis of a (2 + 1) dimensional Camassa-Holm equation

    Energy Technology Data Exchange (ETDEWEB)

    Gordoa, P.R. [Area de Matematica Aplicada, ESCET, Universidad Rey Juan Carlos, C/Tulipan s/n, 28933 Mostoles, Madrid (Spain); Pickering, A. [Area de Matematica Aplicada, ESCET, Universidad Rey Juan Carlos, C/Tulipan s/n, 28933 Mostoles, Madrid (Spain); Senthilvelan, M. [Centre for Nonlinear Dynamics, Department of Physics, Bharathidasan University, Tiruchirappalli 620 024 (India)]. E-mail: senthilvelan@cnld.bdu.ac.in

    2006-06-15

    We investigate the Painleve analysis for a (2 + 1) dimensional Camassa-Holm equation. Our results show that it admits only weak Painleve expansions. This then confirms the limitations of the Painleve test as a test for complete integrability when applied to non-semilinear partial differential equations.

  17. Unconventional supersymmetry and its breaking

    Energy Technology Data Exchange (ETDEWEB)

    Alvarez, Pedro D., E-mail: alvarez@physics.ox.ac.uk [Centro de Estudios Científicos (CECS), Av. Arturo Prat 514, Valdivia (Chile); Universidad Andrés Bello, Av. República 440, Santiago (Chile); Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford (United Kingdom); Pais, Pablo, E-mail: pais@cecs.cl [Centro de Estudios Científicos (CECS), Av. Arturo Prat 514, Valdivia (Chile); Universidad Andrés Bello, Av. República 440, Santiago (Chile); Zanelli, Jorge, E-mail: z@cecs.cl [Centro de Estudios Científicos (CECS), Av. Arturo Prat 514, Valdivia (Chile); Universidad Andrés Bello, Av. República 440, Santiago (Chile)

    2014-07-30

    We present a gauge theory for a superalgebra that includes an internal gauge (G) and local Lorentz (so(1,D−1)) algebras. These two symmetries are connected by fermionic supercharges. The field content of the system includes a (non-)abelian gauge potential A, a spin-1/2 Dirac spinor ψ, the Lorentz connection ω{sup ab}, and the vielbein e{sub μ}{sup a}. The connection one-form A is in the adjoint representation of G, while ψ is in the fundamental. In contrast to standard supersymmetry and supergravity, the metric is not a fundamental field and is in the center of the superalgebra: it is not only invariant under the internal gauge group, G, and under Lorentz transformations, SO(1,D−1), but is also invariant under supersymmetry. The distinctive features of this theory that mark the difference with standard supersymmetries are: i) the number of fermionic and bosonic states is not necessarily the same; ii) there are no superpartners with equal mass; iii) although this supersymmetry originates in a local gauge theory and gravity is included, there is no gravitino; iv) fermions acquire mass from their coupling to the background or from higher order self-couplings, while bosons remain massless. In odd dimensions, the Chern–Simons (CS) form provides an action that is (quasi-)invariant under the entire superalgebra. In even dimensions, the Yang–Mills (YM) form is the only natural option and the symmetry breaks down to G⊗SO(1,D−1). In four dimensions, the construction follows the Townsend–Mac Dowell–Mansouri approach, starting with an osp(4|2)∼usp(2,2|1) connection. Due to the absence of osp(4|2)-invariant traces in four dimensions, the resulting Lagrangian is only invariant under u(1)⊕so(3,1), which includes a Nambu–Jona-Lasinio (NJL) term. In this case, the Lagrangian depends on a single dimensionful parameter that fixes Newton's constant, the cosmological constant and the NJL coupling.

  18. Classical-Quantum Correspondence and Functional Relations for Painleve Equations

    CERN Document Server

    Zabrodin, A

    2012-01-01

    In the light of the Quantum Painleve-Calogero Correspondence established in our previous papers [1,2], we investigate the inverse problem. We imply that this type of the correspondence (Classical-Quantum Correspondence) holds true and find out what kind of potentials arise from the compatibility conditions of the related linear problems. The latter conditions are written as functional equations for the potentials depending on a choice of a single function - the left-upper element of the Lax connection. The conditions of the Correspondence impose restrictions on this function. In particular, it satisfies the heat equation. It is shown that all natural choices of this function (rational, hyperbolic and elliptic) reproduce exactly the Painleve list of equations. In this sense the Classical-Quantum Correspondence can be regarded as an alternative definition of the Painleve equations.

  19. A numerical methodology for the Painlevé equations

    Science.gov (United States)

    Fornberg, Bengt; Weideman, J. A. C.

    2011-07-01

    The six Painlevé transcendents PI - PVI have both applications and analytic properties that make them stand out from most other classes of special functions. Although they have been the subject of extensive theoretical investigations for about a century, they still have a reputation for being numerically challenging. In particular, their extensive pole fields in the complex plane have often been perceived as 'numerical mine fields'. In the present work, we note that the Painlevé property in fact provides the opportunity for very fast and accurate numerical solutions throughout such fields. When combining a Taylor/Padé-based ODE initial value solver for the pole fields with a boundary value solver for smooth regions, numerical solutions become available across the full complex plane. We focus here on the numerical methodology, and illustrate it for the PI equation. In later studies, we will concentrate on mathematical aspects of both the PI and the higher Painlevé transcendents.

  20. Elliptic Schlesinger system and Painleve VI

    Energy Technology Data Exchange (ETDEWEB)

    Chernyakov, Yu [Institute of Theoretical and Experimental Physics, Moscow (Russian Federation); Levin, A M [Institute of Oceanology, Moscow (Russian Federation); Olshanetsky, M [Institute of Theoretical and Experimental Physics, Moscow (Russian Federation); Zotov, A [Institute of Theoretical and Experimental Physics, Moscow (Russian Federation)

    2006-09-29

    We consider an elliptic generalization of the Schlesinger system (ESS) with positions of marked points on an elliptic curve and its modular parameter as independent variables (the parameters in the moduli space of the complex structure). This system was originally discovered by Takasaki (hep-th/9711095) in the quasi-classical limit of the SL(N) vertex model. Our derivation is purely classical. ESS is defined as a symplectic quotient of the space of connections of bundles of degree 1 over the elliptic curves with marked points. The ESS is a non-autonomous Hamiltonian system with pairwise commuting Hamiltonians. The system is bi-Hamiltonian with respect to the linear and introduced here quadratic Poisson brackets. The latter are the multi-colour form of the Sklyanin-Feigin-Odesski classical algebras. The ESS is the monodromy independence condition on the complex structure for the linear systems related to the flat bundle. The case of four points for a special initial data is reduced to the Painleve VI equation in the form of the Zhukovsky-Volterra gyrostat, proposed in our previous paper.

  1. The Painlevé property for partial differential equations

    Science.gov (United States)

    Weiss, John; Tabor, M.; Carnevale, George

    1983-03-01

    In this paper we define the Painlevé property for partial differential equations and show how it determines, in a remarkably simple manner, the integrability, the Bäcklund transforms, the linearizing transforms, and the Lax pairs of three well-known partial differential equations (Burgers' equation, KdV equation, and the modified KdV equation). This indicates that the Painlevé property may provide a unified description of integrable behavior in dynamical systems (ordinary and partial differential equations), while, at the same time, providing an efficient method for determining the integrability of particular systems.

  2. Strongly asymmetric discrete Painlevé equations: The multiplicative case

    Science.gov (United States)

    Grammaticos, B.; Ramani, A.; Tamizhmani, K. M.; Tamizhmani, T.; Satsuma, J.

    2016-04-01

    We examine a class of multiplicative discrete Painlevé equations which may possess a strongly asymmetric form. When the latter occurs, the equation is written as a system of two equations the right hand sides of which have different functional forms. The present investigation focuses upon two canonical families of the Quispel-Roberts-Thompson classification which contain equations associated with the affine Weyl groups D5 ( 1 ) and E6 ( 1 ) (or groups appearing lower in the degeneration cascade of these two). Many new discrete Painlevé equations with strongly asymmetric forms are obtained.

  3. Supersymmetry searches in ATLAS

    CERN Document Server

    Kuwertz, Emma Sian; The ATLAS collaboration

    2015-01-01

    Despite the absence of experimental evidence, weak scale supersymmetry remains one of the best motivated and studied Standard Model extensions. This talk summarises recent ATLAS results for searches for supersymmetric (SUSY) particles. Weak and strong production in both R-Parity conserving and R-Parity violating SUSY scenarios are considered. The searches involved final states including jets, including those those tagged as originating from b-quark decays, missing transverse momentum, light leptons, taus or photons, as well as long-lived particle signatures. An overview of the constraints on supersymmetry from the run1 results is presented, as well as sensitivity projections for the data that will be collected in 2015.

  4. Division algebras and supersymmetry

    CERN Document Server

    Baez, John C

    2009-01-01

    Supersymmetry is deeply related to division algebras. Nonabelian Yang--Mills fields minimally coupled to massless spinors are supersymmetric if and only if the dimension of spacetime is 3, 4, 6 or 10. The same is true for the Green--Schwarz superstring. In both cases, supersymmetry relies on the vanishing of a certain trilinear expression involving a spinor field. The reason for this, in turn, is the existence of normed division algebras in dimensions 1, 2, 4 and 8: the real numbers, complex numbers, quaternions and octonions. Here we provide a self-contained account of how this works.

  5. Supersymmetry for mathematicians

    CERN Document Server

    Varadarajan, V S

    2004-01-01

    Supersymmetry has been the object of study by theoretical physicists since the early 1970's. In recent years it has attracted the interest of mathematicians because of its novelty, and because of significance, both in mathematics and physics, of the main issues it raises. This book presents the foundations of supersymmetry to the mathematically minded reader in a cogent and self-contained manner. It begins with a brief introduction to the physical foundations of the theory, especially the classification of relativistic particles and their wave equations, such as the equations of Dirac and Weyl

  6. Supersymmetry Parameter Analysis

    CERN Document Server

    Kalinowski, Jan

    2002-01-01

    Supersymmetric particles can be produced copiously at future colliders. From the high-precision data taken at e+e- linear colliders, TESLA in particular, and combined with results from LHC, and CLIC later, the low-energy parameters of the supersymmetric model can be determined. Evolving the parameters from the low-energy scale to the high-scale by means of renormalization group techniques the fundamental supersymmetry parameters at the high scale, GUT or Planck, can be reconstructed to reveal the origin of supersymmetry breaking.

  7. Supersymmetry in singular spaces

    NARCIS (Netherlands)

    Bergshoeff, E; Kallosh, R; Van Proeyen, A

    2000-01-01

    We develop the concept of supersymmetry in singular spaces, apply it in an example for 3-branes in D = 5 and comment on 8-branes in D = 10. The new construction has an interpretation that the brane is a sink for the flux and requires adding to the standard supergravity a (D - 1)-form field and a sup

  8. ATLAS Supersymmetry Searches

    CERN Document Server

    Ughetto, Michael; The ATLAS collaboration

    2016-01-01

    Despite the absence of experimental evidence, weak scale supersymmetry remains one of the best motivated and studied Standard Model extensions. This talk summarises recent ATLAS results for searches for supersymmetric (SUSY) particles, with focus on those obtained using proton-proton collisions at a centre of mass energy of 13 TeV.

  9. Supersymmetry in singular spaces

    NARCIS (Netherlands)

    Bergshoeff, E; Kallosh, R; Van Proeyen, A

    2000-01-01

    We develop the concept of supersymmetry in singular spaces, apply it in an example for 3-branes in D = 5 and comment on 8-branes in D = 10. The new construction has an interpretation that the brane is a sink for the flux and requires adding to the standard supergravity a (D - 1)-form field and a

  10. Supersymmetry in Singular Spaces

    NARCIS (Netherlands)

    Bergshoeff, E. A.; Kallosh, R.; Proeyen, A. van

    2000-01-01

    Published in: J. High Energy Phys. 10 (2000) 033 citations recorded in [Science Citation Index] Abstract: We develop the concept of supersymmetry in singular spaces, apply it in an example for 3-branes in D=5 and comment on 8-branes in D=10. The new construction has an interpretation that the brane

  11. Superworld without supersymmetry

    Directory of Open Access Journals (Sweden)

    Shreyashi Chakdar

    2016-03-01

    Full Text Available It is a possibility that the superworld (supersymmetric partners of our world does exist without supersymmetry. The two worlds are being distinguished by an unbroken discrete Z2 symmetry (similar to R-parity in supersymmetry. We lose the solution to the hierarchy problem. However, such a scenario has several motivations. For example, the lightest neutral superworld particle will be a candidate for dark matter. The other being, as in supersymmetry, it is possible to achieve gauge coupling unification. One major difference with the supersymmetric theory is that such a theory is much more general since it is not constrained by supersymmetry. For example, some of the gauge couplings connecting the Standard Model particles with the superpartners now become free Yukawa couplings. As a result, the final state signals as well as the limits on the superworld particles can be modified both qualitatively and quantitatively. The reach for these superworld particles at the Large Hadron Collider (LHC can be much higher than the superpartners, leading to the increased possibility of discovering new physics at the LHC.

  12. Superworld without supersymmetry

    Science.gov (United States)

    Chakdar, Shreyashi; Ghosh, Kirtiman; Nandi, S.

    2016-03-01

    It is a possibility that the superworld (supersymmetric partners of our world) does exist without supersymmetry. The two worlds are being distinguished by an unbroken discrete Z2 symmetry (similar to R-parity in supersymmetry). We lose the solution to the hierarchy problem. However, such a scenario has several motivations. For example, the lightest neutral superworld particle will be a candidate for dark matter. The other being, as in supersymmetry, it is possible to achieve gauge coupling unification. One major difference with the supersymmetric theory is that such a theory is much more general since it is not constrained by supersymmetry. For example, some of the gauge couplings connecting the Standard Model particles with the superpartners now become free Yukawa couplings. As a result, the final state signals as well as the limits on the superworld particles can be modified both qualitatively and quantitatively. The reach for these superworld particles at the Large Hadron Collider (LHC) can be much higher than the superpartners, leading to the increased possibility of discovering new physics at the LHC.

  13. Searches for Supersymmetry

    CERN Document Server

    Ventura, Andrea; The ATLAS collaboration

    2017-01-01

    New and recents results on Supersymmetry searches are shown for the ATLAS and the CMS experiments. Analyses with about 36 fb^-1 are considered for searches concerning light squarks and gluinos, direct pair production of 3rd generation squarks, electroweak production of charginos, neutralinos, sleptons, R-parity violating scenarios and long-lived particles.

  14. Precision measurements in supersymmetry

    Energy Technology Data Exchange (ETDEWEB)

    Feng, Johnathan Lee [Stanford Univ., CA (United States)

    1995-05-01

    Supersymmetry is a promising framework in which to explore extensions of the standard model. If candidates for supersymmetric particles are found, precision measurements of their properties will then be of paramount importance. The prospects for such measurements and their implications are the subject of this thesis. If charginos are produced at the LEP II collider, they are likely to be one of the few available supersymmetric signals for many years. The author considers the possibility of determining fundamental supersymmetry parameters in such a scenario. The study is complicated by the dependence of observables on a large number of these parameters. He proposes a straightforward procedure for disentangling these dependences and demonstrate its effectiveness by presenting a number of case studies at representative points in parameter space. In addition to determining the properties of supersymmetric particles, precision measurements may also be used to establish that newly-discovered particles are, in fact, supersymmetric. Supersymmetry predicts quantitative relations among the couplings and masses of superparticles. The author discusses tests of such relations at a future e{sup +}e{sup {minus}} linear collider, using measurements that exploit the availability of polarizable beams. Stringent tests of supersymmetry from chargino production are demonstrated in two representative cases, and fermion and neutralino processes are also discussed.

  15. Frames for supersymmetry

    CERN Document Server

    Doran, C F; Gates, S J, Jr; Hübsch, T; Iga, K M; Landweber, G D

    2008-01-01

    We explain how the redefinitions of supermultiplet component fields, comprising what we call "frame shifts", can be used in conjuction with the graphical technology of multiplet Adkinras to render manifest the reducibility of off-shell representations of supersymmetry. This technology speaks to possibility of organizing multiplet constraints in a way which complements and extends the possibilities afforded by superspace methods.

  16. "Quantum" linearization of Painlev\\'{e} equations as a component of their $L,A$ pairs

    CERN Document Server

    Suleimanov, Bulat

    2013-01-01

    The procedure of the "quantum" linearization of the Hamiltonian ordinary differential equations with one degree of freedom is introduced. It is offered to be used for the classification of integrable equations of the Painleve type. By this procedure and all natural numbers $n$ we construct the solutions $\\Psi(\\hbar,t,x,n)$ to the non-stationary Shr\\"{o}dinger equation with the Hamiltonian $H = (p^2+q^2)/2$ which tend to zero as $x\\to\\pm\\infty$. On the curves $x=q_n (\\hbar, t) $ defined by the old Bohr-Sommerfeld quantization rule the solutions satisfy the relation $i\\hbar \\Psi '_x\\equiv p_n (\\hbar, t) \\Psi $, where $p_n (\\hbar, t) = (q_n (\\hbar, t)) '_t $ is the classical momentum corresponding to the harmonic $q_n (\\hbar, t) $.

  17. Painlevé equations, elliptic integrals and elementary functions

    Science.gov (United States)

    Żołądek, Henryk; Filipuk, Galina

    2015-02-01

    The six Painlevé equations can be written in the Hamiltonian form, with time dependent Hamilton functions. We present a rather new approach to this result, leading to rational Hamilton functions. By a natural extension of the phase space one gets corresponding autonomous Hamiltonian systems with two degrees of freedom. We realize the Bäcklund transformations of the Painlevé equations as symplectic birational transformations in C4 and we interpret the cases with classical solutions as the cases of partial integrability of the extended Hamiltonian systems. We prove that the extended Hamiltonian systems do not have any additional algebraic first integral besides the known special cases of the third and fifth Painlevé equations. We also show that the original Painlevé equations admit the first integrals expressed in terms of the elementary functions only in the special cases mentioned above. In the proofs we use equations in variations with respect to a parameter and Liouville's theory of elementary functions.

  18. On the connection between hyperelliptic separability and Painleve integrability

    Energy Technology Data Exchange (ETDEWEB)

    Abenda, S. [Dipartimento di Matematica e CIRAM, Universita' di Bologna, Bologna BO (Italy); Marinakis, V.; Bountis, T. [Department of Mathematics and Centre for Research and Application of Nonlinear Systems, University of Patras, Patras (Greece)

    2001-05-04

    We consider systems of ODEs which are associated with some physically significant examples: shallow water equilibrium solutions, travelling waves of the Harry Dym equation, a Lotka-Volterra system of competing species and the geodesic flow on the triaxial ellipsoid. The first three are shown to share the following properties: (i) they are hyperelliptically separable systems (HSS) and, after a suitable nonlinear time transformation, become algebraically completely integrable (ACI) and (ii) they are of the weak Painleve type and become full Painleve after the application of this transformation. The geodesic flow on the other hand, although it passes the usual Painleve test, does not possess a full set of free constants and thus one may not conclude whether it has the Painleve property or not. This system is also HSS and becomes ACI after the application of a suitable nonlinear time transformation. We also combine our geometric-analytical investigation with a numerical analysis of the system in the complex plane and show that there is perfect correspondence between the results of the two approaches. This correspondence strengthens the reliability of such numerical studies and helps us better understand their implication in cases where such nonlinear transformations to complete integrability are not available. (author)

  19. Painlevé transcendent describes quantum correlation function of the XXZ antiferromagnet away from the free-fermion point

    CERN Document Server

    Essler, F H L; Its, A R; Korepin, V E; Essler, Fabian H L; Frahm, Holger; Its, Alexander R; Korepin, Vladimir E

    1996-01-01

    We consider quantum correlation functions of the antiferromagnetic spin-\\frac{1}{2} Heisenberg XXZ spin chain in a magnetic field. We show that for a magnetic field close to the critical field h_c (for the critical magnetic field the ground state is ferromagnetic) certain correlation functions can be expressed in terms of the solution of the Painlev\\'e V transcendent. This establishes a relation between solutions of Painlev\\'e differential equations and quantum correlation functions in models of {\\sl interacting} fermions. Painlev\\'e transcendents were known to describe correlation functions in models with free fermionic spectra.

  20. Unitary monodromy implies the smoothness along the real axis for some Painlevé VI equation, I

    Science.gov (United States)

    Chen, Zhijie; Kuo, Ting-Jung; Lin, Chang-Shou

    2017-06-01

    In this paper, we study the Painlevé VI equation with parameter (9/8,-1/8,1/8,3/8). We prove (i) An explicit formula to count the number of poles of an algebraic solution with the monodromy group of the associated linear ODE being DN, where DN is the dihedral group of order 2 N. (ii) There are only four solutions without poles in C ∖ { 0 , 1 } . (iii) If the monodromy group of the associated linear ODE of a solution λ(t) is unitary, then λ(t) has no poles in R ∖ { 0 , 1 } .

  1. Alternate discrete Painlevé equations from limits of q-PVI and d-PV

    Science.gov (United States)

    Tamizhmani, T.; Grammaticos, B.; Ramani, A.; Tamizhmani, K. M.

    2006-09-01

    We study the special limits of discrete Painlevé equations belonging to the q-PVI and d-PV families, when the independent variable goes to 1 or 0, respectively. We obtain discrete systems which are shown to be either contiguities of solutions of continuous Painlevé equations, usually of PVI but also of the other Painlevé equations (except PI, which has no parameters and so no possibility of contiguity), or linearisable mappings.

  2. Painlevé properties and exact solutions for the high-dimensional Schwartz Boussinesq equation

    Institute of Scientific and Technical Information of China (English)

    Ren Bo; Lin Ji

    2009-01-01

    The usual(l+l)-dimensional Schwartz Boussinesq equation is extended to the (l+l)-dimensional space-time sym-metric form and the general (n+1)-dimensional space-time symmetric form. These extensions are Painlevé integrable in the sense that they possess the Painleve property. The single soliton solutions and the periodic travelling wave solutions for arbitrary dimensional space-time symmetric form are obtained by the Painleve-Backlund transformation.

  3. Supersymmetry and cosmic censorship

    Energy Technology Data Exchange (ETDEWEB)

    Ortin, T. [Instituto de Fisica Teorica UAM/CSIC, Facultad de Ciencias C-XVI, C. U. Cantoblanco, 28049 Madrid (Spain)

    2007-05-15

    We show that requiring unbroken supersymmetry everywhere in black-hole-type solutions of N=2, d=4 supergravity coupled to vector supermultiplets ensures in most cases absence of naked singularities. We show that the requirement of global supersymmetry implies the absence of sources for NUT charge, angular momentum, scalar hair and negative energy, for which there is no microscopic interpretation in String Theory. These conditions exclude, for instance, singular solutions such as the Kerr-Newman with M= vertical stroke q vertical stroke, which fails to be everywhere supersymmetric. There are, nevertheless, everywhere supersymmetric solutions with global angular momentum and non-trivial scalar fields. We also present similar preliminary results in N=1, d=5 supergravity coupled to vector multiplets. (Abstract Copyright [2007], Wiley Periodicals, Inc.)

  4. Supersymmetry and Inflation

    CERN Document Server

    Ferrara, S

    2015-01-01

    Theories with elementary scalar degrees of freedom seem nowadays required for simple descriptions of the Standard Model and of the Early Universe. It is then natural to embed theories of inflation in supergravity, also in view of their possible ultraviolet completion in String Theory. After some general remarks on inflation in supergravity, we describe examples of minimal inflaton dynamics which are compatible with recent observations, including higher-curvature ones inspired by the Starobinsky model. We also discuss different scenarios for supersymmetry breaking during and after inflation, which include a revived role for non-linear realizations. In this spirit, we conclude with a discussion of the link, in four dimensions, between "brane supersymmetry breaking" and the super--Higgs effect in supergravity.

  5. Supersymmetry and noncommutative geometry

    CERN Document Server

    Beenakker, Wim; Suijlekom, Walter D van

    2016-01-01

    In this work the question whether noncommutative geometry allows for supersymmetric theories is addressed. Noncommutative geometry has seen remarkable applications in high energy physics, viz. the geometrical interpretation of the Standard Model, however such a question has not been answered in a conclusive way so far. The book starts with a systematic analysis of the possibilities for so-called almost-commutative geometries on a 4-dimensional, flat background to exhibit not only a particle content that is eligible for supersymmetry, but also have a supersymmetric action. An approach is proposed in which the basic `building blocks' of potentially supersymmetric theories and the demands for their action to be supersymmetric are identified. It is then described how a novel kind of soft supersymmetry breaking Lagrangian arises naturally from the spectral action. Finally, the above formalism is applied to explore the existence of a noncommutative version of the minimal supersymmetric Standard Model. This book is ...

  6. Supersymmetry, supergravity, and unification

    CERN Document Server

    Nath, Pran

    2017-01-01

    This unique book gives a modern account of particle physics and gravity based on supersymmetry and supergravity, two of the most significant developments in theoretical physics since general relativity. The book begins with a brief overview of the history of unification and then goes into a detailed exposition of both fundamental and phenomenological topics. The topics in fundamental physics include Einstein gravity, Yang-Mills theory, anomalies, the standard model, supersymmetry and supergravity, and the construction of supergravity couplings with matter and gauge fields, as well as computational techniques for SO(10) couplings. The topics of phenomenological interest include implications of supergravity models at colliders, CP violation, and proton stability, as well as topics in cosmology such as inflation, leptogenesis, baryogenesis, and dark matter. The book is intended for graduate students and researchers seeking to master the techniques for building grand unified models.

  7. Dimensional Enhancement via Supersymmetry

    CERN Document Server

    Faux, M G; Landweber, G D

    2009-01-01

    We explain how the representation theory associated with supersymmetry in diverse dimensions is encoded within the representation theory of supersymmetry in one time-like dimension. This is enabled by algebraic criteria, derived, exhibited, and utilized in this paper, which indicate which subset of one-dimensional supersymmetric models describe "shadows" of higher-dimensional models. This formalism delineates that minority of one-dimensional supersymmetric models which can "enhance" to accommodate extra dimensions. As a consistency test, we use our formalism to reproduce well-known conclusions about supersymmetric field theories using one-dimensional reasoning exclusively. And we introduce the notion of "phantoms" which usefully accommodate higher-dimensional gauge invariance in the context of shadow multiplets in supersymmetric quantum mechanics.

  8. Supersymmetry searches in ATLAS

    CERN Document Server

    Torro Pastor, Emma; The ATLAS collaboration

    2016-01-01

    Weak scale supersymmetry remains one of the best motivated and studied Standard Model extensions. This talk summarises recent ATLAS results for searches for supersymmetric (SUSY) particles. Weak and strong production in both R-Parity conserving and R-Parity violating SUSY scenarios are considered. The searches involved final states including jets, missing transverse momentum, light leptons, taus or photons, as well as long-lived particle signatures.

  9. Supersymmetry Searches in ATLAS

    CERN Document Server

    AUTHOR|(INSPIRE)INSPIRE-00237280; The ATLAS collaboration

    2015-01-01

    Despite the absence of experimental evidence, weak scale supersymmetry remains one of the best motivated and studied Standard Model extensions. This talk summarises recent ATLAS results for searches for supersymmetric (SUSY) particles. Weak and strong production in both R-Parity conserving and R-Parity violating SUSY scenarios are considered. The searches involved final states including jets, missing transverse momentum, light leptons, taus or photons, as well as long-lived particle signatures.

  10. Single sector supersymmetry breaking

    Energy Technology Data Exchange (ETDEWEB)

    Luty, Markus A.; Terning, John

    1999-03-18

    We review recent work on realistic models that break supersymmetry dynamically and give rise to composite quarks and leptons, all in a single sector. These models have a completely natural suppression of flavor-changing neutral currents, and the hierarchy of Yukawa couplings is explained by the dimensionality of composite states. The generic signatures are unification of scalar masses with different quantum numbers at the compositeness scale, and lighter gaugino, Higgsino, and third-generation sfermion masses.

  11. Supersymmetry: Experimental Status

    CERN Document Server

    Ulmer, Keith A

    2016-01-01

    This talk presents results from the CMS and ATLAS Collaborations from searches for physics beyond the Standard Model motivated by supersymmetry from Run 1 of the LHC. Representative searches are described to illustrate the diverse nature of the search program in both background estimation techniques and final state topologies. The status of preparation for Run 2 searches at 13 TeV is also presented.

  12. Off-Shell Supersymmetry

    OpenAIRE

    Ho, Chiu Man; Okada, Nobuchika

    2014-01-01

    Supersymmetry does not dictate the way we should quantize the fields in the supermultiplets, and so we have the freedom to quantize the Standard Model (SM) particles and their superpartners differently. We propose a generalized quantization scheme under which a particle can only appear off-shell, while its contributions to quantum corrections are exactly the same as those in the usual quantum field theory. We apply this quantization scheme solely to the sparticles in the $R$-parity preserving...

  13. String Mediated Supersymmetry Breaking

    Energy Technology Data Exchange (ETDEWEB)

    Brodie, John H

    2001-07-25

    We consider the 3+1 visible sector to live on a Hanany-Witten D-brane construction in type IIA string theory. The messenger sector consists of stretched strings from the visible brane to a hidden D6-brane in the extra spatial dimensions. In the open string channel supersymmetry is broken by gauge mediation while in the closed string channel supersymmetry is broken by gravity mediation. Hence, we call this kind of mediation ''string mediation''. We propose an extension of the Dimopoulos-Georgi theorem to brane models: only detached probe branes can break supersymmetry without generating a tachyon. Fermion masses are generated at one loop if the branes break a sufficient amount of the ten dimensional Lorentz group while scalar potentials are generated if there is a force between the visible brane and the hidden brane. Scalars can be lifted at two loops through a combination of brane bending and brane forces. We find a large class of stable non-supersymmetric brane configurations of ten dimensional string theory.

  14. Supersymmetry breaking with extra dimensions

    Indian Academy of Sciences (India)

    Fabio Zwirner

    2004-02-01

    This talk reviews some aspects of supersymmetry breaking in the presence of extra dimensions. The first part is a general introduction, recalling the motivations for supersymmetry and extra dimensions, as well as some unsolved problems of four-dimensional models of supersymmetry breaking. The central part is a more focused introduction to a mechanism for (super)symmetry breaking, proposed first by Scherk and Schwarz, where extra dimensions play a crucial role. The last part is devoted to the description of some recent results and of some open problems.

  15. Connection between quantum systems involving the fourth Painlevé transcendent and k-step rational extensions of the harmonic oscillator related to Hermite exceptional orthogonal polynomial

    Science.gov (United States)

    Marquette, Ian; Quesne, Christiane

    2016-05-01

    The purpose of this communication is to point out the connection between a 1D quantum Hamiltonian involving the fourth Painlevé transcendent PIV, obtained in the context of second-order supersymmetric quantum mechanics and third-order ladder operators, with a hierarchy of families of quantum systems called k-step rational extensions of the harmonic oscillator and related with multi-indexed Xm1,m2,…,mk Hermite exceptional orthogonal polynomials of type III. The connection between these exactly solvable models is established at the level of the equivalence of the Hamiltonians using rational solutions of the fourth Painlevé equation in terms of generalized Hermite and Okamoto polynomials. We also relate the different ladder operators obtained by various combinations of supersymmetric constructions involving Darboux-Crum and Krein-Adler supercharges, their zero modes and the corresponding energies. These results will demonstrate and clarify the relation observed for a particular case in previous papers.

  16. Painlevé analysis for nonlinear partial differential equations

    CERN Document Server

    Musette, M

    1998-01-01

    The Painlevé analysis introduced by Weiss, Tabor and Carnevale (WTC) in 1983 for nonlinear partial differential equations (PDE's) is an extension of the method initiated by Painlevé and Gambier at the beginning of this century for the classification of algebraic nonlinear differential equations (ODE's) without movable critical points. In these lectures we explain the WTC method in its invariant version introduced by Conte in 1989 and its application to solitonic equations in order to find algorithmically their associated so-called ``integrable'' equations but they are generically no more valid for equations modelising physical phenomema. Belonging to this second class, some equations called ``partially integrable'' sometimes keep remnants of integrability. In that case, the singularity analysis may also be useful for building closed form analytic solutions, which necessarily % Conte agree with the singularity structure of the equations. We display the privileged role played by the Riccati equation and syste...

  17. Searches for supersymmetry at CMS

    Energy Technology Data Exchange (ETDEWEB)

    Collaboration: F. Giordano on behalf of the CMS Collaboration

    2017-11-15

    Among the most promising prospects for a theory of physics beyond the standard model is supersymmetry. In this talk, the latest results from the CMS experiment at the LHC on searches for supersymmetry produced through strong production and electroweak production channels are presented using 20/fb of data from the 8 TeV LHC run, with particular focus on gluino and stop searches.

  18. A numerical methodology for the Painlevé equations

    KAUST Repository

    Fornberg, Bengt

    2011-07-01

    The six Painlevé transcendents PI-PVI have both applications and analytic properties that make them stand out from most other classes of special functions. Although they have been the subject of extensive theoretical investigations for about a century, they still have a reputation for being numerically challenging. In particular, their extensive pole fields in the complex plane have often been perceived as \\'numerical mine fields\\'. In the present work, we note that the Painlevé property in fact provides the opportunity for very fast and accurate numerical solutions throughout such fields. When combining a Taylor/Padé-based ODE initial value solver for the pole fields with a boundary value solver for smooth regions, numerical solutions become available across the full complex plane. We focus here on the numerical methodology, and illustrate it for the PI equation. In later studies, we will concentrate on mathematical aspects of both the PI and the higher Painlevé transcendents. © 2011 Elsevier Inc.

  19. BOOK REVIEW: Modern Supersymmetry

    Science.gov (United States)

    Kulish, Petr P.

    2006-12-01

    We have spent more than twenty years applying supersymmetry (SUSY) to elementary particle physics and attempting to find an experimental manifestation of this symmetry. Terning's monograph demonstrates the strong influence of SUSY on theoretical elaborations in the field of elementary particles. It gives both an overview of modern supersymmetry in elementary particle physics and calculation techniques. The author, trying to be closer to applications of SUSY in the real world of elementary particles, is also anticipating the importance of supersymmetry for rigorous study of nonperturbative phenomena in quantum field theory. In particular, he presents the `exact' SUSY β function using instanton methods, phenomena of anomalies and dualities. Supersymmetry algebra is introduced by adding two anticommuting spinor generators to Poincaré algebra and by presenting massive and massless supermultiplets of its representations. The author prefers to use mostly the component description of field contents of the theories in question rather than the superfield formalism. Such a style makes the account closer to physical chartacteristics. Relations required by SUSY among β functions of the gauge, Yukawa and quartic interactions are checked by direct calculations as well as to all orders in perturbation theory, thus demonstrating that SUSY survives quantization. A discussion is included of the hierarchy problem of different scales of weak and strong interactions and its possible solution by the minimal supersymmetric standard model. Different SUSY breaking mechanisms are presented corresponding to a realistic phenomenology. The monograph can also be considered as a guide to `duality' relations connecting different SUSY gauge theories, supergravities and superstrings. This is demonstrated referring to the particular properties and characteristics of these theories (field contents, scaling dimensions of appropriate operators etc). In particular, the last chapter deals with the Ad

  20. Supersymmetry searches in ATLAS

    CERN Document Server

    Meloni, Federico; The ATLAS collaboration

    2015-01-01

    Despite the absence of experimental evidence, weak scale supersymmetry remains one of the best motivated and studied Standard Model extensions. This talk summarises recent ATLAS results for searches for supersymmetric (SUSY) particles. Weak and strong production in both R-Parity conserving and R-Parity violating SUSY scenarios are considered. The searches involved final states including jets, missing transverse momentum, light leptons, taus or photons, as well as long-lived particle signatures. Sensitivity projections for the data that will be collected in 2015 are also presented.

  1. The Discovery of Supersymmetry

    Directory of Open Access Journals (Sweden)

    Riva Francesco

    2013-11-01

    Full Text Available Recent LHC searches have provided strong evidence for the Higgs, a boson whose gauge quantum numbers coincide with those of a SM fermion, the neutrino. This raises the question of whether Higgs and neutrino can be related by supersymmetry. I will show explicitly the implications of models where the Higgs is the sneutrino: from a theoretical point of view an R-symmetry, acting as lepton number, is necessary; on the experimental side, squarks exhibit novel decays into quarks and leptons, allowing to differentiate these scenarios from the ordinary MSSM.

  2. Dimensional Enhancement via Supersymmetry

    Directory of Open Access Journals (Sweden)

    M. G. Faux

    2011-01-01

    of supersymmetry in one time-like dimension. This is enabled by algebraic criteria, derived, exhibited, and utilized in this paper, which indicate which subset of one-dimensional supersymmetric models describes “shadows” of higher-dimensional models. This formalism delineates that minority of one-dimensional supersymmetric models which can “enhance” to accommodate extra dimensions. As a consistency test, we use our formalism to reproduce well-known conclusions about supersymmetric field theories using one-dimensional reasoning exclusively. And we introduce the notion of “phantoms” which usefully accommodate higher-dimensional gauge invariance in the context of shadow multiplets in supersymmetric quantum mechanics.

  3. Supersymmetry searches in ATLAS

    CERN Document Server

    Meloni, Federico; The ATLAS collaboration

    2015-01-01

    This document summarises recent ATLAS results for searches for supersymmetric particles using LHC proton-proton collision data. Despite the absence of experimental evidence, weak scale supersymmetry remains one of the best motivated and studied Standard Model extensions. We consider both R-Parity conserving and R-Parity violating SUSY scenarios. The searches involve final states including jets, missing transverse momentum, light leptons, taus or photons, as well as long-lived particle signatures. Sensitivity projections for the data that will be collected in 2015 are also presented.

  4. Supersymmetry and chiral symmetry

    Energy Technology Data Exchange (ETDEWEB)

    Walker, Michael Luke [Dept. of Physics and Applied Physics and College of Natural Sciences, Kyung-Hee University, KyongGi, Yong-In 449-701 (Korea, Republic of)]. E-mail: m.walker@aip.org.au

    2004-12-01

    We dispute the nonperturbative non-renormalisation theorem stating that mass cannot be spontaneously generated in supersymmetric QED. Our analysis, which requires no truncation and is fully gauge and supersymmetry consistent, finds instead that there is no reason for the mass corrections to be exactly zero. We concede that an achiral solution is yet to be found. We also extend a long-standing perturbative result, that the effective potential is zero to all orders of perturbation theory, to the nonperturbative regime for arbitrary numbers of flavours. (author)

  5. Nonlocal N=1 Supersymmetry

    CERN Document Server

    Kimura, Tetsuji; Noumi, Toshifumi; Yamaguchi, Masahide

    2016-01-01

    We construct $\\mathcal{N}=1$ supersymmetric nonlocal theories in four dimension. We discuss higher derivative extensions of chiral and vector superfields, and write down generic forms of K\\"ahler potential and superpotential up to quadratic order. We derive the condition in which an auxiliary field remains non-dynamical, and the dynamical scalars and fermions are free from the ghost degrees of freedom. We also investigate the nonlocal effects on the supersymmetry breaking and find that supertrace (mass) formula is significantly modified even at the tree level.

  6. Symmetries, Supersymmetries, and Pairing in Nuclei

    CERN Document Server

    Balantekin, A B

    2011-01-01

    These summer school lectures cover the use of algebraic techniques in various subfields of nuclear physics. After a brief description of groups and algebras, concepts of dynamical symmetry, dynamical supersymmetry, and supersymmetric quantum mechanics are introduced. Appropriate tools such as quasiparticles, quasispin, and Bogoliubov transformations are discussed with an emphasis on group theoretical foundations of these tools. To illustrate these concepts three physics applications are worked out in some detail: i) Pairing in nuclear physics; ii) Subbarrier fusion and associated group transformations; and iii) Symmetries of neutrino mass and of a related neutrino many-body problem.

  7. A modified WTC algorithm for the Painlevé test of nonlinear variable-coefficient PDEs

    Science.gov (United States)

    Zhao, Yin-Long; Liu, Yin-Ping; Li, Zhi-Bin

    2009-11-01

    A modified WTC algorithm for the Painlevé test of nonlinear PDEs with variable coefficients is proposed. Compared to the Kruskal's simplification algorithm, the modified algorithm further simplifies the computation in the third step of the Painlevé test for variable-coefficient PDEs to some extent. Two examples illustrate the proposed modified algorithm.

  8. Geometric Aspects of the Painleve Equations PIII(D-6) and PIII(D-7)

    NARCIS (Netherlands)

    Van Der Put, Marius; Top, Jaap; Top, Jakob

    2014-01-01

    The Riemann-Hilbert approach for the equations PIII(D-6) and PIII(D-7) is studied in detail, involving moduli spaces for connections and monodromy data, Okamoto-Painleve varieties, the Painleve property, special solutions and explicit Backlund transformations.

  9. Perturbative Painlevé Analysis of General KdV System and Its Exact Soliton Solutions

    Institute of Scientific and Technical Information of China (English)

    LIN Ji; YE Li-Jun; LI Hua-Mei

    2005-01-01

    Using the standard Painlevé analysis and the perturbative method, the Painlevé test for the logarithmic branch is investigated. Nine arbitrary functions are obtained and the Backlund transformation of the logarithmic branch is given. Using the new type Backlund transformation, many exact solutions are obtained.

  10. Painlevé analysis and some solutions of variable coefficient Benny equation

    Indian Academy of Sciences (India)

    Rajeev Kumar; R K Gupta; S S Bhatia

    2015-12-01

    In this paper, variable coefficient Benny equation (also called the KdV Burgers–Kuramoto equation) has been considered. By using the Painlevé analysis and Lie group analysis methods, the Painlevé properties and symmetries have been studied. Some solutions of the reduced ODEs are obtained.

  11. Holographic renormalization and supersymmetry

    Science.gov (United States)

    Genolini, Pietro Benetti; Cassani, Davide; Martelli, Dario; Sparks, James

    2017-02-01

    Holographic renormalization is a systematic procedure for regulating divergences in observables in asymptotically locally AdS spacetimes. For dual boundary field theories which are supersymmetric it is natural to ask whether this defines a supersymmetric renormalization scheme. Recent results in localization have brought this question into sharp focus: rigid supersymmetry on a curved boundary requires specific geometric structures, and general arguments imply that BPS observables, such as the partition function, are invariant under certain deformations of these structures. One can then ask if the dual holographic observables are similarly invariant. We study this question in minimal N = 2 gauged supergravity in four and five dimensions. In four dimensions we show that holographic renormalization precisely reproduces the expected field theory results. In five dimensions we find that no choice of standard holographic counterterms is compatible with supersymmetry, which leads us to introduce novel finite boundary terms. For a class of solutions satisfying certain topological assumptions we provide some independent tests of these new boundary terms, in particular showing that they reproduce the expected VEVs of conserved charges.

  12. Phenomenological consequences of supersymmetry

    Energy Technology Data Exchange (ETDEWEB)

    Hinchliffe, I.; Littenberg, L.

    1982-01-01

    This report deals with the phenomenological consequences of supersymmetric theories, and with the implications of such theories for future high energy machines. It is concerned only with high energy predictions of supersymmetry; low energy consequences (for example in the K/sub o/anti K/sub o/ system) are discussed in the context of future experiments by another group, and will be mentioned briefly only in the context of constraining existing models. However a brief section is included on the implication for proton decay, although detailed experimental questions are not discussed. The report is organized as follows. Section I consists of a brief review of supersymmetry and the salient features of existing supersymmetric models; this section can be ignored by those familiar with such models since it contains nothing new. Section 2 deals with the consequences for nucleon decay of SUSY. The remaining sections then discuss the physics possibilities of various machines; e anti e in Section 3, ep in Section 4, pp (or anti pp) colliders in Section 5 and fixed target hadron machines in Section 6.

  13. Unified Maximally Natural Supersymmetry

    CERN Document Server

    Huang, Junwu

    2016-01-01

    Maximally Natural Supersymmetry, an unusual weak-scale supersymmetric extension of the Standard Model based upon the inherently higher-dimensional mechanism of Scherk-Schwarz supersymmetry breaking (SSSB), possesses remarkably good fine tuning given present LHC limits. Here we construct a version with precision $SU(2)_{\\rm L} \\times U(1)_{\\rm Y} $ unification: $\\sin^2 \\theta_W(M_Z) \\simeq 0.231$ is predicted to $\\pm 2\\%$ by unifying $SU(2)_{\\rm L} \\times U(1)_{\\rm Y} $ into a 5D $SU(3)_{\\rm EW}$ theory at a Kaluza-Klein scale of $1/R_5 \\sim 4.4\\,{\\rm TeV}$, where SSSB is simultaneously realised. Full unification with $SU(3)_{\\rm C}$ is accommodated by extending the 5D theory to a $N=4$ supersymmetric $SU(6)$ gauge theory on a 6D rectangular orbifold at $1/R_6 \\sim 40 \\,{\\rm TeV}$. TeV-scale states beyond the SM include exotic charged fermions implied by $SU(3)_{\\rm EW}$ with masses lighter than $\\sim 1.2\\,{\\rm TeV}$, and squarks in the mass range $1.4\\,{\\rm TeV} - 2.3\\,{\\rm TeV}$, providing distinct signature...

  14. Naturalness and supersymmetry

    Energy Technology Data Exchange (ETDEWEB)

    Agashe, Kaustubh [Univ. of California, Berkeley, CA (United States)

    1998-05-01

    In this thesis, the author argues that the supersymmetric Standard Model, while avoiding the fine tuning in electroweak symmetry breaking, requires unnaturalness/fine tuning in some (other) sector of the theory. For example, Baryon and Lepton number violating operators are allowed which lead to proton decay and flavor changing neutral currents. He studies some of the constraints from the latter in this thesis. He has to impose an R-parity for the theory to be both natural and viable. In the absence of flavor symmetries, the supersymmetry breaking masses for the squarks and sleptons lead to too large flavor changing neutral currents. He shows that two of the solutions to this problem, gauge mediation of supersymmetry breaking and making the scalars of the first two generations heavier than a few TeV, reintroduce fine tuning in electroweak symmetry breaking. He also constructs a model of low energy gauge mediation with a non-minimal messenger sector which improves the fine tuning and also generates required Higgs mass terms. He shows that this model can be derived from a Grand Unified Theory despite the non-minimal spectrum.

  15. Dynamical contents of unconventional supersymmetry

    Energy Technology Data Exchange (ETDEWEB)

    Guevara, Alfredo [Centro de Estudios Científicos (CECs),Av. Arturo Prat 514, Valdivia (Chile); Departamento de Física, Universidad de Concepción,Casilla 160-C, Concepción (Chile); Pais, Pablo [Centro de Estudios Científicos (CECs),Av. Arturo Prat 514, Valdivia (Chile); Physique Théorique et Mathématique,Université Libre de Bruxelles and International Solvay Institutes,Campus Plaine C.P. 231, B-1050 Bruxelles (Belgium); Zanelli, Jorge [Centro de Estudios Científicos (CECs),Av. Arturo Prat 514, Valdivia (Chile)

    2016-08-11

    The Dirac Hamiltonian formalism is applied to a system in (2+1)-dimensions consisting of a Dirac field ψ minimally coupled to Chern-Simons U(1) and SO(2,1) connections, A and ω, respectively. This theory is connected to a supersymmetric Chern-Simons form in which the gravitino has been projected out (unconventional supersymmetry) and, in the case of a flat background, corresponds to the low energy limit of graphene. The separation between first-class and second-class constraints is performed explicitly, and both the field equations and gauge symmetries of the Lagrangian formalism are fully recovered. The degrees of freedom of the theory in generic sectors shows that the propagating states correspond to fermionic modes in the background determined by the geometry of the graphene sheet and the nondynamical electromagnetic field. This is shown for the following canonical sectors: i) a conformally invariant generic description where the spinor field and the dreibein are locally rescaled; ii) a specific configuration for the Dirac fermion consistent with its spin, where Weyl symmetry is exchanged by time reparametrizations; iii) the vacuum sector ψ=0, which is of interest for perturbation theory. For the latter the analysis is adapted to the case of manifolds with boundary, and the corresponding Dirac brackets together with the centrally extended charge algebra are found. Finally, the SU(2) generalization of the gauge group is briefly treated, yielding analogous conclusions for the degrees of freedom.

  16. The Lattice Structure of Connection Preserving Deformations for q-Painlevé Equations I

    Directory of Open Access Journals (Sweden)

    Christopher M. Ormerod

    2011-05-01

    Full Text Available We wish to explore a link between the Lax integrability of the q-Painlevé equations and the symmetries of the q-Painlevé equations. We shall demonstrate that the connection preserving deformations that give rise to the q-Painlevé equations may be thought of as elements of the groups of Schlesinger transformations of their associated linear problems. These groups admit a very natural lattice structure. Each Schlesinger transformation induces a Bäcklund transformation of the q-Painlevé equation. Each translational Bäcklund transformation may be lifted to the level of the associated linear problem, effectively showing that each translational Bäcklund transformation admits a Lax pair. We will demonstrate this framework for the q-Painlevé equations up to and including q-P_{VI}.

  17. 离散的Painlevé方程Ⅱ的有理解%Rational Solutions for the Discrete Painlevé Ⅱ Equation

    Institute of Scientific and Technical Information of China (English)

    赵玲玲; 商朋见

    1999-01-01

    The rational solutions for the discrete Painlevé Ⅱ equation are constructed based on the bilinear formalism. It is shown that they are expressed by a determinant whose entries are given by the Laguerre Polynomials.

  18. On Discrete Painlevé Equations Associated with the Lattice KdV Systems and the Painlevé VI Equation

    CERN Document Server

    Nijhoff, F W; Grammaticos, B; Ohta, Y

    1998-01-01

    A new integrable nonautonomous nonlinear ordinary difference equation is presented which can be considered to be a discrete analogue of the Painleve V equation. Its derivation is based on the similarity reduction on the two-dimensional lattice of integrable partial difference equations of KdV type. The new equation which is referred to as GDP (generalised discrete Painleve equation) contains various ``discrete Painleve equations'' as subcases for special values/limits of the parameters, some of which were already given before in the literature. The general solution of the GDP can be expressed in terms of Painleve VI (PVI) transcendents. In fact, continuous PVI emerges as the equation obeyed by the solutions of the discrete equation in terms of the lattice parameters rather than the lattice variables that label the lattice sites. We show that the bilinear form of PVI is embedded naturally in the lattice systems leading to the GDP. Further results include the establishment of Baecklund and Schlesinger transform...

  19. Soft-Collinear Supersymmetry

    CERN Document Server

    Cohen, Timothy; Larkoski, Andrew J

    2016-01-01

    Soft-Collinear Effective Theory (SCET) is a framework for modeling the infrared structure of theories whose long distance behavior is dominated by soft and collinear divergences. This paper demonstrates that SCET can be made compatible with supersymmetry (SUSY). Explicitly, the effective theory for $\\mathcal{N} = 1$ SUSY Yang-Mills is constructed and shown to be consistent. For contrast, arguments are given that chiral SUSY theories with Yukawa couplings, specifically the single flavor Wess-Zumino model, are incompatible with the collinear expansion. SCET is formulated by expanding fields along a light-like direction and then subsequently integrating out degrees-of-freedom that are away from the light-cone. Defining the theory with respect to a specific frame obfuscates Lorentz invariance -- given that SUSY is a space-time symmetry, this presents a possible obstruction. The cleanest language with which to expose the congruence between SUSY and SCET requires exploring two novel formalisms: collinear fermions a...

  20. Corpuscular Breaking of Supersymmetry

    CERN Document Server

    Dvali, Gia

    2014-01-01

    Are topological solitons elementary or composites? We answer this question by drawing up a corpuscular formalism in which solitons are coherent states of quantum constituents. This naturally leads to a functional integral representation, in which the classical saddle point is reached as the most probable distribution of corpuscles in the $\\hbar = 0$ limit and where quantum corpuscular corrections correspond to excursions away from such a distribution that occur only for finite $\\hbar$. Several striking features come up. Topological charge emerges as a collective flow of quantum numbers carried by individual corpuscles. Moreover, the corpuscular corrections are not reducible to any known form of quantum corrections, such as loop expansions in the coupling constant $\\hbar g^2$ or semiclassical $e^{-1/\\hbar g^2}$ effects. Corpuscular corrections are stronger and appear already at order $\\sqrt{\\hbar g^2}$. In SUSY theories quantum corpuscular corrections generically break supersymmetry. We show that a domain wall...

  1. Academic training: Introduction to Supersymmetry

    CERN Multimedia

    2007-01-01

    2006-2007 ACADEMIC TRAINING PROGRAMME LECTURE SERIES 12, 13, 14, 15 February, from 11:00 to 12:00 Main Auditorium, bldg. 500 Introduction to Supersymmetry D. Kaplan, Johns Hopkins University, Baltimore, USA In these lectures, I will introduce supersymmetry as an extension to spacetime symmetries both formally and physically. I will present motivations for why we think supersymmetry may exist in the real world, and may manifest itself at the LHC. I will describe the current set of models of softly broken supersymmetry at the electroweak scale and the parts that make them exciting and the parts that make people sick. I will then cover the phenomenology of the various models - the spectra and some of the best studied collider signals. Finally, I will describe the phenomenology of the full supersymmetric parameter space in general terms and discuss this collider signals not covered by the classic models.

  2. A subtle sign of supersymmetry?

    CERN Multimedia

    Cho, A

    2001-01-01

    In experiments conducted by HEAT in 94/95 in the upper atomosphere, more positrons were detected than expected. Last year a revamped detector confirmed the excess. Physicists Gordon Kane and Lian-Tao think this could be evidence of supersymmetry. They postulate the extra positrons come from rare collisions between the lightest particle predicted by supersymmetry and its antimatter partner (1/2 page).

  3. Generalized Burgers equations and Euler-Painlevé transcendents. I

    Science.gov (United States)

    Sachdev, P. L.; Nair, K. R. C.; Tikekar, V. G.

    1986-06-01

    Initial-value problems for the generalized Burgers equation (GBE) ut+u βux+λuα =(δ/2)uxx are discussed for the single hump type of initial data—both continuous and discontinuous. The numerical solution is carried to the self-similar ``intermediate asymptotic'' regime when the solution is given analytically by the self-similar form. The nonlinear (transformed) ordinary differential equations (ODE's) describing the self-similar form are generalizations of a class discussed by Euler and Painlevé and quoted by Kamke. These ODE's are new, and it is postulated that they characterize GBE's in the same manner as the Painlevé equations categorize the Kortweg-de Vries (KdV) type. A connection problem for some related ODE's satisfying proper asymptotic conditions at x=±∞, is solved. The range of amplitude parameter is found for which the solution of the connection problem exists. The other solutions of the above GBE, which display several interesting features such as peaking, breaking, and a long shelf on the left for negative values of the damping coefficient λ, are also discussed. The results are compared with those holding for the modified KdV equation with damping.

  4. Supersymmetry, Duality And Holonomy

    CERN Document Server

    Wen, W

    2005-01-01

    In this thesis, I study various aspects of solutions to eleven-dimensional supergravity and its descendents. The former is at one corner of the moduli space of M-theory. While it is not clear how to formulate M-theory; it is equally interesting to see how far we can proceed from this low energy window. First of all, various techniques are applied to construct supergravity solutions preserving partial supersymmetry. A seven-dimensional membrane solution in the gauged supergravity is constructed by lifting a self-dual string in six dimensions, and its supersymmetric property is explored in certain detail. Then fractional BPS solutions from Sn × Sn reduction of six and ten-dimensional supergravities are constructed via the method of G-structures. The form of the solutions is totally determined by Laplace equations with specified boundary conditions. Secondly, the concept of duality is realized in two aspects. A certain type of *-theory, obtained from time-like T-dualization of the usual string and M-t...

  5. Painlevé Integrability and New Exact Solutions of the (4 + 1-Dimensional Fokas Equation

    Directory of Open Access Journals (Sweden)

    Sheng Zhang

    2015-01-01

    Full Text Available The Painlevé integrability of the (4+1-dimensional Fokas equation is verified by the WTC method of Painlevé analysis combined with a new and more general transformation. By virtue of the truncated Painlevé expansion, two new exact solutions with arbitrary differentiable functions are obtained. Thanks to the arbitrariness of the included functions, the obtained exact solutions not only possess rich spatial structures but also help to bring about two-wave solutions and three-wave solutions. It is shown that the transformation adopted in this work plays a key role in testing the Painlevé integrability and constructing the exact solutions of the Fokas equation.

  6. A Second Supersymmetry in Thermo Field Dynamics

    OpenAIRE

    Arsiwalla, Xerxes D.

    2003-01-01

    This article is an extension of the work done in \\cite{partha} by R. Parthasarathy and R. Sridhar. There they consider supersymmetry in an enlarged thermal system (in a thermo field dynamic formulation) and show that this supersymmetry is not broken at finite temperature. Here we show, using an SU(1,1) R-symmetry, that this system obeys a second supersymmetry. In addition, we proceed to see that this new supersymmetry also remains unbroken at finite temperatures.

  7. Elliptic Linear Problem for Calogero-Inozemtsev Model and Painleve VI Equation

    OpenAIRE

    2003-01-01

    We introduce $3N\\times 3N$ Lax pair with spectral parameter for Calogero-Inozemtsev model. The one degree of freedom case appears to have $2\\times 2$ Lax representation. We derive it from the elliptic Gaudin model via some reduction procedure and prove algebraic integrability. This Lax pair provides elliptic linear problem for the Painlev{\\'e} VI equation in elliptic form.

  8. Conformal invariant Painlevé expansions and higher dimensional integrable models

    Institute of Scientific and Technical Information of China (English)

    楼森岳

    1999-01-01

    After the (1+1)-dimensional nonlinear Schr(?)dinger equation is embedded in higher dimensions and the usual singularity analysis approach is extended such that all the Painlev(?) expansion coefficients are conformal invariant, many higher dimensional integrable models are got after the nontrivial conformal invariant expansion coefficients are taken to be zero simply. The Painlev(?) properties of the obtained higher dimensional models (including some (3+1)-dimensional models) are proved.

  9. Soft-collinear supersymmetry

    Science.gov (United States)

    Cohen, Timothy; Elor, Gilly; Larkoski, Andrew J.

    2017-03-01

    Soft-Collinear Effective Theory (SCET) is a framework for modeling the infrared structure of theories whose long distance behavior is dominated by soft and collinear divergences. This paper demonstrates that SCET can be made compatible with super-symmetry (SUSY). Explicitly, the effective Lagrangian for N=1 SUSY Yang-Mills is cconstructed and shown to be a complete description for the infrared of this model. For contrast, we also construct the effective Lagrangian for chiral SUSY theories with Yukawa couplings, specifically the single flavor Wess-Zumino model. Only a subset of the infrared divergences are reproduced by the Lagrangian — to account for the complete low energy description requires the inclusion of local operators. SCET is formulated by expanding fields along a light-like direction and then subsequently integrating out degrees-of-freedom that are away from the light-cone. Defining the theory with respect to a specific frame obfuscates Lorentz invariance — given that SUSY is a space-time symmetry, this presents a possible obstruction. The cleanest language with which to expose the congruence be-tween SUSY and SCET requires exploring two novel formalisms: collinear fermions as two-component Weyl spinors, and SCET in light-cone gauge. By expressing SUSY Yang-Mills in "collinear superspace", a slice of superspace derived by integrating out half the fermionic coordinates, the light-cone gauge SUSY SCET theory can be written in terms of superfields. As a byproduct, bootstrapping up to the full theory yields the first algorithmic approach for determining the SUSY Yang-Mills on-shell superspace action. This work paves the way toward discovering the effective theory for the collinear limit of N=4 SUSY Yang-Mills.

  10. Supersymmetry for Fermion Masses

    Institute of Scientific and Technical Information of China (English)

    LIU Chun

    2007-01-01

    It is proposed that supersymmetry (SUSY) may be used to understand fermion mass hierarchies. A family symmetry Z3L is introduced, which is the cyclic symmetry among the three generation SU(2) doublets. SUSY breaks at a high energy scale ~ 1011 GeV. The electroweak energy scale ~ 100 GeV is unnaturally small. No additional global symmetry, like the R-parity, is imposed. The Yukawa couplings and R-parity violating couplings all take their natural values, which are (&)(100 ~ 10-2). Under the family symmetry, only the third generation charged fermions get their masses. This family symmetry is broken in the soft SUSY breaking terms, which result in a hierarchical pattern of the fermion masses. It turns out that for the charged leptons, the τ mass is fromthe Higgs vacuum expectation value (VEV)and the sneutrino VEVs, the muon mass is due to the sneutrino VEVs, and the electron gains its mass due to both Z3L and SUSY breaking. The large neutrino mixing are produced with neutralinos playing the partial role of right-handed neutrinos. |Ve3|, which is for ve-vτ mixing, is expected to be about 0.1. For the quarks, the third generation masses are from the Higgs VEVs, the second generation masses are from quantum corrections, and the down quark mass due to the sneutrino VEVs. It explains mc/ms, ms/me, md > mu, and so on. Other aspects of the model are discussed.

  11. Natural Supersymmetry in Warped Space

    CERN Document Server

    Heidenreich, Ben

    2014-01-01

    We explore the possibility of solving the hierarchy problem by combining the paradigms of supersymmetry and compositeness. Both paradigms are under pressure from the results of the Large Hadron Collider (LHC), and combining them allows both a higher confinement scale -- due to effective supersymmetry in the low energy theory -- and heavier superpartners -- due to the composite nature of the Higgs boson -- without sacrificing naturalness. The supersymmetric Randall-Sundrum model provides a concrete example where calculations are possible, and we pursue a realistic model in this context. With a few assumptions, we are led to a model with bulk fermions, a left-right gauge symmetry in the bulk, and supersymmetry breaking on the UV brane. The first two generations of squarks are decoupled, reducing LHC signatures but also leading to quadratic divergences at two loops. The model predicts light $W'$ and $Z'$ gauge bosons, and present LHC constraints on exotic gauge bosons imply a high confinement scale and mild tuni...

  12. Painlevé Property and New Analytic Solutions for a Variable-Coefficient Kadomtsev-Petviashvili Equation with Symbolic Computation

    Institute of Scientific and Technical Information of China (English)

    WEI Guang-Mei; GAO Yi-Tian; XU Tao; MENG Xiang-Hua; ZHANG Chun-Yi

    2008-01-01

    A variable-coefficient Kadomtsev-Petviashvili equation is investigated.The Painlevé analysis leads to its explicit Painlevé-integrable conditions.An auto-B(a)cklund transformation and the bilinear form are presented via the truncated Painlevé expansion and symbolic computation.Several families of new analytic solutions axe presented,including the soliton-like and periodic solutions.

  13. Split supersymmetry in brane models

    Indian Academy of Sciences (India)

    Ignatios Antoniadis

    2006-11-01

    Type-I string theory in the presence of internal magnetic fields provides a concrete realization of split supersymmetry. To lowest order, gauginos are massless while squarks and sleptons are superheavy. For weak magnetic fields, the correct Standard Model spectrum guarantees gauge coupling unification with sin2 W = 3/8 at the com-pactification scale of GUT ≃ 2 × 1016 GeV. I discuss mechanisms for generating gaugino and higgsino masses at the TeV scale, as well as generalizations to models with split extended supersymmetry in the gauge sector.

  14. A Geometric Formulation of Supersymmetry

    CERN Document Server

    Freedman, Daniel Z; Van Proeyen, Antoine

    2016-01-01

    The scalar fields of supersymmetric models are coordinates of a geometric space. We propose a formulation of supersymmetry that is covariant with respect to reparametrizations of this target space. Employing chiral multiplets as an example, we introduce modified supersymmetry variations and redefined auxiliary fields that transform covariantly under reparametrizations. The resulting action and transformation laws are manifestly covariant and highlight the geometric structure of the supersymmetric theory. The covariant methods are developed first for general theories (not necessarily supersymmetric) whose scalar fields are coordinates of a Riemannian target space.

  15. Split Supersymmetry in String Theory

    CERN Document Server

    Antoniadis, Ignatios

    2006-01-01

    Type I string theory in the presence of internal magnetic fields provides a concrete realization of split supersymmetry. To lowest order, gauginos are massless while squarks and sleptons are superheavy. For weak magnetic fields, the correct Standard Model spectrum guarantees gauge coupling unification with \\sin^2{\\theta_W}=3/8 at the compactification scale of M_{\\rm GUT}\\simeq 2 \\times 10^{16} GeV. I discuss mechanisms for generating gaugino and higgsino masses at the TeV scale, as well as generalizations to models with split extended supersymmetry in the gauge sector.

  16. Supersymmetry from the Top Down

    CERN Document Server

    Dine, Michael

    2011-01-01

    If supersymmetry turns out to be a symmetry of nature at low energies, the first order of business to measure the soft breaking parameters. But one will also want to understand the symmetry, and its breaking, more microscopically. Two aspects of this problem constitute the focus of these lectures. First, what sorts of dynamics might account for supersymmetry breaking, and its manifestation at low energies. Second, how might these features fit into string theory (or whatever might be the underlying theory in the ultraviolet). The last few years have seen a much improved understanding of the first set of questions, and at least a possible pathway to address the second.

  17. Inflationary implications of supersymmetry breaking

    NARCIS (Netherlands)

    Borghese, Andrea; Roest, Diederik; Zavala, Ivonne

    2013-01-01

    We discuss a general bound on the possibility to realise inflation in any minimal supergravity with F-terms. The derivation crucially depends on the sGoldstini, the scalar field directions that are singled out by spontaneous supersymmetry breaking. The resulting bound involves both slow-roll paramet

  18. The solution of the Painlevé equations as special functions of catastrophes, defined by a rejection in these equations of terms with derivative

    CERN Document Server

    Kiselev, O M

    1999-01-01

    The relation between the Painleve equations and the algebraic equations with the catastrophe theory point of view are considered. The asymptotic solutions with respect to the small parameter of the Painleve equations different types are discussed. The qualitative analysis of the relation between algebraic and fast oscillating solutions is done for Painleve-2 as an example.

  19. 具有物理背景的高维Painlevé可积模型%HIGHER DIMENSIONAL PAINLEV? INTEGRABLE MODELS WITH REAL PHYSICAL SIGNIFICATION

    Institute of Scientific and Technical Information of China (English)

    阮航宇; 陈一新

    2001-01-01

    提出了一种求解任意维数非线性模型的“Mbious”变换下不变的渐进展开方法,并可同时获得许多新的与原模型有着相同维数的Painlevé可积模型.取(2+1)维KdV-Burgers(KdVB)方程和Kadomtsev-Petviashvili(KP)方程为具体例子,获得了一些新的具有Painlevé性质的高维“Mbious”变换下不变的方程及原模型的近似解.在某些特殊情况下,某些近似解可以成为精确解.%A “Mbius” invariant asymptotic expansion approach to solve any nonlinear integrable and nonintegrable models with any dimension is proposed. Many new Painlevé integrable models with the same dimension can be obtained at the same time. Taking the (2+1)-dimensional KdV-Burgers(KdVB) equation, (3+1)-dimensional Kudomtsev-Petviashvili (KP) equation as concrete examples, we obtain some new higher dimensional “Mbius” invariant models with Painlevé property and the approximate solutions of these models. In some special case, some approximate solutions become exact.

  20. Natural Supersymmetry from Extra Dimensions

    CERN Document Server

    Delgado, Antonio; Nardini, Germano; Quiros, Mariano

    2016-01-01

    We show that natural supersymmetry can be embedded in a five-dimensional theory with supersymmetry breaking \\`a la Scherk-Schwarz (SS). There is no 'gluino-sucks' problem for stops localized in the four-dimensional brane and gluinos propagating in the full five-dimensional bulk, and sub-TeV stops are easily accommodated. The $\\mu / B_\\mu$ problem is absent as well; the SS breaking generates a Higgsino Dirac mass and no bilinear Higgs mass parameter in the superpotential is required. Moreover, for non-maximal SS twists leading to $\\tan \\beta \\simeq 1$, the Higgs spectrum is naturally split, in agreement with LHC data. The 125-GeV Higgs mass and radiative electroweak symmetry breaking can be accommodated by minimally extending the Higgs sector with $Y=0$ $SU(2)_L$ triplets.

  1. Supersymmetry in Elementary Particle Physics

    OpenAIRE

    Peskin, Michael E.

    2008-01-01

    These lectures, presented at the 2006 TASI summer school, give a general introduction to supersymmetry, emphasizing its application to models of elementary particle physics at the 100 GeV energy scale. I discuss the following topics: the construction of supersymmetric Lagrangians with scalars, fermions, and gauge bosons, the structure and mass spectrum of the Minimal Supersymmetric Standard Model (MSSM), the measurement of the parameters of the MSSM at high-energy colliders, and the solutions...

  2. Supersymmetry in Elementary Particle Physics

    Energy Technology Data Exchange (ETDEWEB)

    Peskin, Michael E.; /SLAC

    2008-02-05

    These lectures give a general introduction to supersymmetry, emphasizing its application to models of elementary particle physics at the 100 GeV energy scale. I discuss the following topics: the construction of supersymmetric Lagrangians with scalars, fermions, and gauge bosons, the structure and mass spectrum of the Minimal Supersymmetric Standard Model (MSSM), the measurement of the parameters of the MSSM at high-energy colliders, and the solutions that the MSSM gives to the problems of electroweak symmetry breaking and dark matter.

  3. Flavors of Supersymmetry Beyond Vanilla

    CERN Document Server

    Evans, Jared A

    2015-01-01

    This review surveys the territory of supersymmetry beyond the vanilla MSSM. With a viewpoint guided by electroweak naturalness, the review focuses on constructions that weaken or bypass current LHC constraints. Models of SUSY containing Dirac gluinos, compressed spectra, flavor-violating squarks, R-parity violation, stealth sectors, exotic detector objects, and more are discussed. In addition to presenting ways of hiding SUSY, these models highlight a few opportunities to improve LHC coverage.

  4. Dynamical (Super)Symmetry Breaking

    CERN Document Server

    Murayama, H

    2001-01-01

    Dynamical Symmetry Breaking (DSB) is a concept theorists rely on very often in the discussions of strong dynamics, model building, and hierarchy problems. In this talk, I will discuss why this is such a permeating concept among theorists and how they are used in understanding physics. I also briefly review recent progress in using dynamical symmetry breaking to construct models of supersymmetry breaking and fermion masses.

  5. Supersymmetry in mathematics and physics

    Energy Technology Data Exchange (ETDEWEB)

    Ferrara, Sergio [CERN, Geneve (Switzerland). Div. Theorie; Fioresi, Rita [Bologna Univ. (Italy). Dept. of Mathematics; Varadarajan, V.S. (eds.) [UCLA, Los Angeles, CA (United States). Dept. of Mathematics

    2011-07-01

    Supersymmetry was created by the physicists in the 1970's to give a unified treatment of fermions and bosons, the basic constituents of matter. Since then its mathematical structure has been recognized as that of a new development in geometry, and mathematicians have busied themselves with exploring this aspect. This volume collects recent advances in this field, both from a physical and a mathematical point of view, with an accent on a rigorous treatment of the various questions raised. (orig.)

  6. Supersymmetry breaking made easy, viable, and generic

    CERN Document Server

    Murayama, Hitoshi

    2007-01-01

    The kind of supersymmetry that can be discovered at the LHC must be very much flavor-blind, which used to require very special intelligently designed models of supersymmetry breaking. This led to the pessimism for some in the community that it is not likely for the LHC to discover supersymmetry. I point out that this is not so, because a garden-variety supersymmetric theories actually can do this job.

  7. Semi-Hopf Algebra and Supersymmetry

    OpenAIRE

    Gunara, Bobby Eka

    1999-01-01

    We define a semi-Hopf algebra which is more general than a Hopf algebra. Then we construct the supersymmetry algebra via the adjoint action on this semi-Hopf algebra. As a result we have a supersymmetry theory with quantum gauge group, i.e., quantised enveloping algebra of a simple Lie algebra. For the example, we construct the Lagrangian N=1 and N=2 supersymmetry.

  8. Deconstruction, Holography and Emergent Supersymmetry

    CERN Document Server

    Nakai, Yuichiro

    2014-01-01

    We study a gauge theory in a 5D warped space via the dimensional deconstruction that a higher dimensional gauge theory is constructed from a moose of 4D gauge groups. By the AdS/CFT correspondence, a 5D warped gauge theory is dual to a 4D conformal field theory (CFT) with a global symmetry. As far as physics of the gauge theory, we obtain the one-to-one correspondence between each component of a moose of gauge groups and that of a CFT. We formulate a supersymmetric extension of deconstruction and explore the framework of natural supersymmetry in a 5D warped space -- the supersymmetric Randall-Sundrum model with the IR-brane localized Higgs and bulk fermions -- via the gauge moose. In this model, a supersymmetry breaking source is located at the end of the moose corresponding to the UV brane and the first two generations of squarks are decoupled. With left-right gauge symmetries in the bulk of the moose, we demonstrate realization of accidental or emergent supersymmetry of the Higgs sector in comparison with t...

  9. Supersymmetry in Open Superstring Field Theory

    CERN Document Server

    Erler, Theodore

    2016-01-01

    We realize the 16 unbroken supersymmetries on a BPS D-brane as invariances of the action of the corresponding open superstring field theory. We work in the small Hilbert space approach, where a symmetry of the action translates into a symmetry of the associated cyclic $A_\\infty$ structure. We compute the supersymmetry algebra, being careful to disentangle the components which produce a translation, a gauge transformation, and a symmetry transformation which vanishes on-shell. Via the minimal model theorem, we illustrate how supersymmetry of the action implies supersymmetry of the tree level open string scattering amplitudes.

  10. Supersymmetry of RS bulk and brane

    CERN Document Server

    Bergshoeff, E A; Van Proeyen, A; Bergshoeff, Eric; Kallosh, Renata; Proeyen, Antoine Van

    2001-01-01

    We review the construction of actions with supersymmetry on spaces with a domain wall. The latter objects act as sources inducing a jump in the gauge coupling constant. Despite these singularities, supersymmetry can be formulated, maintaining its role as a square root of translations in this singular space. The setup is designed for the application in five dimensions related to the Randall-Sundrum (RS) scenario. The space has two domain walls. We discuss the solutions of the theory with fixed scalars and full preserved supersymmetry, in which case one of the branes can be pushed to infinity, and solutions where half of the supersymmetries are preserved.

  11. Black Holes versus Supersymmetry at the LHC

    Science.gov (United States)

    Roy, Arunava; Cavaglia, Marco

    2007-11-01

    Supersymmetry and extra dimensions are the two most promising candidates for new physics at the TeV scale. Supersymmetric particles or extra-dimensional effects could soon be observed at the Large Hadron Collider. In this paper we assess the distinguishability of supersymmetry and black hole events at the LHC. Black hole events are simulated with the CATFISH black hole generator. Supersymmetry simulations use a combination of PYTHIA and ISAJET, the latter providing the mass spectrum. Our analysis shows that supersymmetry and black hole events at the Large Hadron Collider can be easily discriminated.

  12. Dynamical Supersymmetry Breaking Why and How

    CERN Document Server

    Poppitz, E R

    1998-01-01

    This theoretical review is intended to give non-theorists a flavor of the ideas driving the current efforts to experimentally find supersymmetry. We discuss the main reasons behind the expectation that supersymmetry may be "just around the corner" and may be discovered in the near future. We use simple quantum-mechanical examples to illustrate the concept---and the power---of supersymmetry, the possible ways to break supersymmetry, and the dynamical generation of small scales. We then describe how this theoretical machinery helps shape our perception of what physics beyond the electroweak scale might be.

  13. Electroweak Supersymmetry (EWSUSY) in the NMSSM

    CERN Document Server

    Cheng, Taoli

    2013-01-01

    To explain all the available experimental results, we have proposed the Electroweak Supersymmetry (EWSUSY) previously, where the squarks and/or gluino are heavy around a few TeVs while the sleptons, sneutrinos, Bino, Winos, and/or Higgsinos are light within one TeV. In the Next to Minimal Supersymmetric Standard Model (NMSSM), we perform the systematic \\chi^2 analyses on parameter space scan for three EWSUSY scenarios: (I) R-parity conservation and one dark matter candidate; (II) R-parity conservation and multi-component dark matter; (III) R-parity violation. We obtain the minimal \\chi^2/(degree of freedom) of 10.2/15, 9.6/14, and 9.2/14 respectively for Scenarios I, II, and III. Considering the constraints from the LHC neutralino/chargino and slepton searches, we find that the majority of viable parameter space prefered by the muon anomalous magnetic moment has been excluded except for the parameter space with moderate to large \\tan\\beta (\\ge 8). Especially, the most favorable parameter space has relatively ...

  14. Random matrix theory and the sixth Painleve equation

    Energy Technology Data Exchange (ETDEWEB)

    Forrester, P J; Witte, N S [Department of Mathematics and Statistics, University of Melbourne, Victoria 3010 (Australia)

    2006-09-29

    A feature of certain ensembles of random matrices is that the corresponding measure is invariant under conjugation by unitary matrices. Study of such ensembles realized by matrices with Gaussian entries leads to statistical quantities related to the eigenspectrum, such as the distribution of the largest eigenvalue, which can be expressed as multidimensional integrals or equivalently as determinants. These distributions are well known to be {tau}-functions for Painleve systems, allowing for the former to be characterized as the solution of certain nonlinear equations. We consider the random matrix ensembles for which the nonlinear equation is the {sigma} form of P{sub VI}. Known results are reviewed, as is their implication by way of series expansions for the distributions. New results are given for the boundary conditions in the neighbourhood of the fixed singularities at t = 0, 1, {infinity} of {sigma}P{sub VI} displayed by a generalization of the generating function for the distributions. The structure of these expansions is related to Jimbo's general expansions for the {tau}-function of {sigma}P{sub VI} in the neighbourhood of its fixed singularities, and this theory is itself put in its context of the linear isomonodromy problem relating to P{sub VI}.

  15. Painleve analysis and symmetry group for the coupled Zakharov-Kuznetsov equation

    Energy Technology Data Exchange (ETDEWEB)

    Hu, Heng-Chun, E-mail: hhengchun@163.com [College of Science, University of Shanghai for Science and Technology, Shanghai 200093 (China); Jia, Xiao-Qing; Sang, Ben-Wen [College of Science, University of Shanghai for Science and Technology, Shanghai 200093 (China)

    2011-09-12

    The Painleve property for the coupled Zakharov-Kuznetsov equation is verified with the WTC approach and new exact solutions of bell-type are constructed from standard truncated expansion. A symmetry transformation group theorem is also given out from a simple direct method. -- Highlights: → Painleve property for coupled Zakharov-Kuznetsov system is verified by WTC method. → Symmetry group for coupled ZK system is given out by a simple direct method. → Bell-type solution for coupled ZK system is constructed from standard truncation.

  16. Do All Integrable Evolution Equations Have the Painlevé Property?

    Directory of Open Access Journals (Sweden)

    K.M. Tamizhmani

    2007-06-01

    Full Text Available We examine whether the Painlevé property is necessary for the integrability of partial differential equations (PDEs. We show that in analogy to what happens in the case of ordinary differential equations (ODEs there exists a class of PDEs, integrable through linearisation, which do not possess the Painlevé property. The same question is addressed in a discrete setting where we show that there exist linearisable lattice equations which do not possess the singularity confinement property (again in analogy to the one-dimensional case.

  17. Entropy of the Schwarzschild Black Hole in the Painlevé and the Lemaitre Coordinates

    Institute of Scientific and Technical Information of China (English)

    JING Ji-Liang; CHEN Song-Bai

    2004-01-01

    @@ In the Painlevé and the Lemaitre coordinates, the statistical-mechanical entropies of the Schwarzschild black hole arising from the quantum scalar field are investigated by using the 't Hooft's brick wall model At first sight,it seems that the results would be different from that in the standard Schwarzschild coordinate since both the Painlevé and the Lemaitre spacetimes do not possess the event horizon obviously. However, we prove that the entropies in these coordinates are exactly equivalent to that in the Schwarzschild coordinate.

  18. Large N expansions and Painleve hierarchies in the Hermitian matrix model

    Energy Technology Data Exchange (ETDEWEB)

    Alvarez, Gabriel; Alonso, Luis Martinez [Departamento de Fisica Teorica II, Facultad de Ciencias Fisicas, Universidad Complutense, 28040 Madrid (Spain); Medina, Elena, E-mail: galvarez@fis.ucm.es [Departamento de Matematicas, Facultad de Ciencias, Universidad de Cadiz, 11510 Puerto Real, Cadiz (Spain)

    2011-07-15

    We present a method to characterize and compute the large N formal asymptotics of regular and critical Hermitian matrix models with general even potentials in the one-cut and two-cut cases. Our analysis is based on a method to solve continuum limits of the discrete string equation which uses the resolvent of the Lax operator of the underlying Toda hierarchy. This method also leads to an explicit formulation, in terms of coupling constants and critical parameters, of the members of the Painleve I and Painleve II hierarchies associated with one-cut and two-cut critical models, respectively.

  19. Universality for the focusing nonlinear Schroedinger equation at the gradient catastrophe point: Rational breathers and poles of the tritronquee solution to Painleve I

    CERN Document Server

    Bertola, Marco

    2010-01-01

    The semiclassical (zero-dispersion) limit of the one-dimensional focusing Nonlinear Schroedinger equation (NLS) with decaying potentials is studied in a full scaling neighborhood D of the point of gradient catastrophe (x_0,t_0). This neighborhood contains the region of modulated plane wave (with rapid phase oscillations), as well as the region of fast amplitude oscillations (spikes). In this paper we establish the following universal behaviors of the NLS solutions near the point of gradient catastrophe: i) each spike has the height 3|q_0(x_0,t_0,epsilon)| and uniform shape of the rational breather solution to the NLS, scaled to the size O(epsilon); ii) the location of the spikes are determined by the poles of the tritronquee solution of the Painleve I (P1) equation through an explicit diffeomorphism between D and a region into the Painleve plane; iii) if (x,t) belongs to D but lies away from the spikes, the asymptotics of the NLS solution q(x,t,epsilon) is given by the plane wave approximation q_0(x,t,epsilon...

  20. Connection between quantum systems involving the fourth Painlevé transcendent and k-step rational extensions of the harmonic oscillator related to Hermite exceptional orthogonal polynomial

    Energy Technology Data Exchange (ETDEWEB)

    Marquette, Ian, E-mail: i.marquette@uq.edu.au [School of Mathematics and Physics, The University of Queensland, Brisbane, QLD 4072 (Australia); Quesne, Christiane, E-mail: cquesne@ulb.ac.be [Physique Nucléaire Théorique et Physique Mathématique, Université Libre de Bruxelles, Campus de la Plaine CP229, Boulevard du Triomphe, B-1050 Brussels (Belgium)

    2016-05-15

    The purpose of this communication is to point out the connection between a 1D quantum Hamiltonian involving the fourth Painlevé transcendent P{sub IV}, obtained in the context of second-order supersymmetric quantum mechanics and third-order ladder operators, with a hierarchy of families of quantum systems called k-step rational extensions of the harmonic oscillator and related with multi-indexed X{sub m{sub 1,m{sub 2,…,m{sub k}}}} Hermite exceptional orthogonal polynomials of type III. The connection between these exactly solvable models is established at the level of the equivalence of the Hamiltonians using rational solutions of the fourth Painlevé equation in terms of generalized Hermite and Okamoto polynomials. We also relate the different ladder operators obtained by various combinations of supersymmetric constructions involving Darboux-Crum and Krein-Adler supercharges, their zero modes and the corresponding energies. These results will demonstrate and clarify the relation observed for a particular case in previous papers.

  1. Perspectives on Higgs Boson and Supersymmetry

    CERN Document Server

    Nath, Pran

    2013-01-01

    We review the recent discovery of the Higgs like particle at $\\sim 125$ GeV and its implications for particle physics models. Specifically the implications of the relatively high Higgs mass for the discovery of supersymmetry are discussed. Several related topics such as naturalness and supersymmetry, dark matter and unification are also discussed.

  2. Supersymmetry Projection Rules on Exotic Branes

    CERN Document Server

    Kimura, Tetsuji

    2016-01-01

    We study the supersymmetry projection rules on exotic branes in type II string theories and M-theory. They justify the validity of the exotic duality between standard branes and exotic branes of codimension two. By virtue of the supersymmetry projection rules on various branes, we can apply the exotic duality to a system which involves multiple non-parallel branes.

  3. Diffeomorphism Invariant Theories and Vector Supersymmetry

    CERN Document Server

    Piguet, O

    2000-01-01

    Einstein gravity in the Palatini first order formalism is shown to possess a vector supersymmetry of the type encountered in the topological gauge theories. A peculiar feature of the gravitationel theory is the link of this vector supersymmetry with the field equation of motion of the Faddeev-Popov ghost associated to diffeomorphism invariance.

  4. Quantum gravity via supersymmetry and holography

    OpenAIRE

    Elvang, Henriette; Horowitz, Gary T.

    2013-01-01

    We review the approach to quantum gravity based on supersymmetry, strings, and holography. This includes a survey of black holes in higher-dimensions, supersymmetry and supergravity, as well as string theory, black hole microstates, and the gauge/gravity duality. This presentation will appear as a chapter in "General Relativity and Gravitation: A Centennial Perspective", to be published by Cambridge University Press.

  5. Status of Supersymmetry: Foundations and Applications

    CERN Document Server

    Ferrara, Sergio

    2011-01-01

    We review some aspects of the foundations of supersymmetry as a conjectural in­variance of the Laws of Nature. This symmetry bypasses the Coleman-Mandula Theorem by enlarging the funda­mental space -time symmetries to the Superworld. Application of supersymmetry to particle physics requires its spontaneous breaking, as it happens for the electroweak symmetry of the Standard Model.

  6. Supersymmetry in random matrix theory

    Energy Technology Data Exchange (ETDEWEB)

    Kieburg, Mario

    2010-05-04

    I study the applications of supersymmetry in random matrix theory. I generalize the supersymmetry method and develop three new approaches to calculate eigenvalue correlation functions. These correlation functions are averages over ratios of characteristic polynomials. In the first part of this thesis, I derive a relation between integrals over anti-commuting variables (Grassmann variables) and differential operators with respect to commuting variables. With this relation I rederive Cauchy- like integral theorems. As a new application I trace the supermatrix Bessel function back to a product of two ordinary matrix Bessel functions. In the second part, I apply the generalized Hubbard-Stratonovich transformation to arbitrary rotation invariant ensembles of real symmetric and Hermitian self-dual matrices. This extends the approach for unitarily rotation invariant matrix ensembles. For the k-point correlation functions I derive supersymmetric integral expressions in a unifying way. I prove the equivalence between the generalized Hubbard-Stratonovich transformation and the superbosonization formula. Moreover, I develop an alternative mapping from ordinary space to superspace. After comparing the results of this approach with the other two supersymmetry methods, I obtain explicit functional expressions for the probability densities in superspace. If the probability density of the matrix ensemble factorizes, then the generating functions exhibit determinantal and Pfaffian structures. For some matrix ensembles this was already shown with help of other approaches. I show that these structures appear by a purely algebraic manipulation. In this new approach I use structures naturally appearing in superspace. I derive determinantal and Pfaffian structures for three types of integrals without actually mapping onto superspace. These three types of integrals are quite general and, thus, they are applicable to a broad class of matrix ensembles. (orig.)

  7. Supernatural supersymmetry: Phenomenological implications of anomaly-mediated supersymmetry breaking

    Energy Technology Data Exchange (ETDEWEB)

    Feng, Jonathan L. [School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540 (United States); Moroi, Takeo [School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540 (United States)

    2000-05-01

    We discuss the phenomenology of supersymmetric models in which supersymmetry breaking terms are induced by the super-Weyl anomaly. Such a scenario is envisioned to arise when supersymmetry breaking takes place in another world, i.e., on another brane. We review the anomaly-mediated framework and study in detail the minimal anomaly-mediated model parametrized by only 3+1 parameters: M{sub aux}, m{sub 0}, tan {beta}, and sgn({mu}). The renormalization group equations exhibit a novel ''focus point'' (as opposed to fixed point) behavior, which allows squark and slepton masses far above their usual naturalness bounds. We present the superparticle spectrum and highlight several implications for high energy colliders. Three lightest supersymmetric particle (LSP) candidates exist: the W-ino, the stau, and the tau sneutrino. For the W-ino LSP scenario, light W-ino triplets with the smallest possible mass splittings are preferred; such W-inos are within reach of run II Fermilab Tevatron searches. Finally, we study a variety of sensitive low energy probes, including b{yields}s{gamma}, the anomalous magnetic moment of the muon, and the electric dipole moments of the electron and neutron. (c) 2000 The American Physical Society.

  8. Supernatural supersymmetry: Phenomenological implications of anomaly-mediated supersymmetry breaking

    Science.gov (United States)

    Feng, Jonathan L.; Moroi, Takeo

    2000-05-01

    We discuss the phenomenology of supersymmetric models in which supersymmetry breaking terms are induced by the super-Weyl anomaly. Such a scenario is envisioned to arise when supersymmetry breaking takes place in another world, i.e., on another brane. We review the anomaly-mediated framework and study in detail the minimal anomaly-mediated model parametrized by only 3+1 parameters: Maux, m0, tan β, and sgn(μ). The renormalization group equations exhibit a novel ``focus point'' (as opposed to fixed point) behavior, which allows squark and slepton masses far above their usual naturalness bounds. We present the superparticle spectrum and highlight several implications for high energy colliders. Three lightest supersymmetric particle (LSP) candidates exist: the W-ino, the stau, and the tau sneutrino. For the W-ino LSP scenario, light W-ino triplets with the smallest possible mass splittings are preferred; such W-inos are within reach of run II Fermilab Tevatron searches. Finally, we study a variety of sensitive low energy probes, including b-->sγ, the anomalous magnetic moment of the muon, and the electric dipole moments of the electron and neutron.

  9. An attractor for natural supersymmetry

    Science.gov (United States)

    Cohen, Timothy; Hook, Anson; Torroba, Gonzalo

    2012-12-01

    We propose an attractor mechanism which generates the more minimal supersymmetric standard model from a broad class of supersymmetry breaking boundary conditions. The hierarchies in the fermion masses and mixings are produced by the same dynamics and a natural weak scale results from gaugino mediation. These features arise from augmenting the standard model with a new SU(3) gauge group under which only the third generation quarks are charged. The theory flows to a strongly interacting fixed point which induces a negative anomalous dimension for the third generation quarks and a positive anomalous dimension for the Higgs. As a result, a split-family natural spectrum and the flavor hierarchies are dynamically generated.

  10. Unraveling supersymmetry at future colliders

    Indian Academy of Sciences (India)

    Xerxes Tata

    2004-02-01

    After a quick review of the current limits on sparticle masses, we outline the prospects for their discovery at future colliders. We then proceed to discuss how precision measurements of sparticle masses can provide information about how SM suprpartners acquire their masses. Finally, we examine how we can proceed to establish whether or not any new physics discovered in the future is supersymmetry, and describe how we might zero in on the framework of SUSY breaking. In this connection, we review sparticle mass measurements at future colliders, and point out that some capabilities of experiments at $e^{+}e^{-}$ linear colliders may have been over-stated in the literture.

  11. Supersymmetry results at the Tevatron

    Energy Technology Data Exchange (ETDEWEB)

    Manca, Giulia; /Liverpool U.

    2005-05-01

    The Run II physics programme of the Tevatron is proceeding with more than 300 pb{sup -1} of analysis quality data, collected at a center-of-mass energy of 1.96 TeV. Searches for supersymmetric particles are starting to set new limits, improving over the LEP and Run I results and exploring new regions of parameter space. They present recent results in Supersymmetry with the upgraded CDF and D0 detectors and give some prospects for the future of these searches.

  12. Painleve V and time-dependent Jacobi polynomials

    Energy Technology Data Exchange (ETDEWEB)

    Basor, Estelle [American Institute of Mathematics, Palo Alto, CA 94306 (United States); Chen Yang [Department of Mathematics, Imperial College London, 180 Queen' s Gates, London SW7 2BZ (United Kingdom); Ehrhardt, Torsten [Department of Mathematics, University of California, Santa Cruz, CA 95064 (United States)], E-mail: ebasor@aimath.org, E-mail: ychen@imperial.ac.uk, E-mail: ehrhardt@math.ucsc.edu

    2010-01-08

    In this paper we study the simplest deformation on a sequence of orthogonal polynomials. This in turn induces a deformation on the moment matrix of the polynomials and associated Hankel determinant. We replace the original (or reference) weight w{sub 0}(x) (supported on R or subsets of R) by w{sub 0}(x) e{sup -tx}. It is a well-known fact that under such a deformation the recurrence coefficients denoted as {alpha}{sub n} and {beta}{sub n} evolve in t according to the Toda equations, giving rise to the time-dependent orthogonal polynomials and time-dependent determinants, using Sogo's terminology. If w{sub 0} is the normal density e{sup -x{sup 2}}, x element of R, or the gamma density x{sup {alpha}} e{sup -x}, x element of R{sub +}, {alpha} > -1, then the initial value problem of the Toda equations can be trivially solved. This is because under elementary scaling and translation the orthogonality relations reduce to the original ones. However, if w{sub 0} is the beta density (1 - x){sup {alpha}}(1 + x){sup {beta}}, x in [ - 1, 1], {alpha}, {beta} > -1, the resulting 'time-dependent' Jacobi polynomials will again satisfy a linear second-order ode, but no longer in the Sturm-Liouville form, which is to be expected. This deformation induces an irregular singular point at infinity in addition to three regular singular points of the hypergeometric equation satisfied by the Jacobi polynomials. We will show that the coefficients of this ode, as well as the Hankel determinant, are intimately related to a particular Painleve V. In particular we show that p{sub 1}(n,t), where p{sub 1}(n,t) is the coefficient of z{sup n-1} of the monic orthogonal polynomials associated with the 'time-dependent' Jacobi weight, satisfies, up to a translation in t, the Jimbo-Miwa {sigma}-form of the same P{sub V}; while a recurrence coefficient {alpha}{sub n}(t) is up to a translation in t and a linear fractional transformation P{sub V}({alpha}{sup 2}/2, - {beta}{sup 2

  13. The Prelle-Singer method and Painlevé hierarchies

    Energy Technology Data Exchange (ETDEWEB)

    Gordoa, P. R.; Pickering, A. [Departamento de Matemática Aplicada, Universidad Rey Juan Carlos, C/ Tulipán s/n, 28933 Móstoles, Madrid (Spain); Senthilvelan, M. [Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirapalli - 620 024 (India)

    2014-05-15

    We consider systems of ordinary differential equations (ODEs) of the form BK=0, where B is a Hamiltonian operator of a completely integrable partial differential equation hierarchy, and K = (K, L){sup T}. Such systems, while of quite low order and linear in the components of K, may represent higher-order nonlinear systems if we make a choice of K in terms of the coefficient functions of B. Indeed, our original motivation for the study of such systems was their appearance in the study of Painlevé hierarchies, where the question of the reduction of order is of great importance. However, here we do not consider such particular cases; instead we study such systems for arbitrary K, where they may represent both integrable and nonintegrable systems of ordinary differential equations. We consider the application of the Prelle-Singer (PS) method—a method used to find first integrals—to such systems in order to reduce their order. We consider the cases of coupled second order ODEs and coupled third order ODEs, as well as the special case of a scalar third order ODE; for the case of coupled third order ODEs, the development of the PS method presented here is new. We apply the PS method to examples of such systems, based on dispersive water wave, Ito and Korteweg-de Vries Hamiltonian structures, and show that first integrals can be obtained. It is important to remember that the equations in question may represent sequences of systems of increasing order. We thus see that the PS method is a further technique which we expect to be useful in our future work.

  14. A Note on the Painlevé Property of Coupled KdV Equations

    Directory of Open Access Journals (Sweden)

    Sergei Sakovich

    2014-01-01

    Full Text Available We prove that one system of coupled KdV equations, claimed by Hirota et al. to pass the Painlevé test for integrability, actually fails the test at the highest resonance of the generic branch and therefore must be nonintegrable.

  15. Confluences of the Painlevé equations, Cherednik algebras and q-Askey scheme

    Science.gov (United States)

    Mazzocco, Marta

    2016-09-01

    In this paper we produce seven new algebras as confluences of the Cherednik algebra of type \\check {{{{C}1}}} {{C}1} and we characterise their spherical-sub-algebras. The limit of the spherical sub-algebra of the Cherednik algebra of type \\check {{{{C}1}}} {{C}1} is the monodromy manifold of the Painlevé VI equation (Oblomkov 2004 Int. Math. Res. Not. 2004 877-912). Here we prove that by considering the limits of the spherical sub-algebras of our new confluent algebras, one obtains the monodromy manifolds of all other Painlevé differential equations. Moreover, we introduce confluent versions of the Zhedanov algebra and prove that each of them (quotiented by their Casimir) is isomorphic to the corresponding spherical sub-algebra of our new confluent Cherednik algebras. We show that in the basic representation our confluent Zhedanov algebras act as symmetries of certain elements of the q-Askey scheme, thus setting a stepping stone towards the solution of the open problem of finding the corresponding quantum algebra for each element of the q-Askey scheme. These results establish a new link between the theory of the Painlevé equations and the theory of the q-Askey scheme making a step towards the construction of a representation theoretic approach for the Painlevé theory.

  16. Rigid covariance as a natural extension of Painlev\\'e--Gullstrand space-times: gravitational waves

    CERN Document Server

    Jaén, Xavier

    2016-01-01

    The group of rigid motions is considered to guide the search for a natural system of space-time coordinates in General Relativity. This search leads us to a natural extension of the space-times that support Painlev\\'{e}--Gullstrand synchronization. As an interesting example, here we describe a system of rigid coordinates for the cross mode of gravitational linear plane waves.

  17. Improved single sector supersymmetry breaking

    Energy Technology Data Exchange (ETDEWEB)

    Luty, Markus A.; Terning, John

    1998-12-09

    Building on recent work by N. Arkani-Hamed and the present authors, we construct realistic models that break supersymmetry dynamically and give rise to composite quarks and leptons, all in a single strongly-coupled sector. The most important improvement compared to earlier models is that the second-generation composite states correspond to dimension-2 ''meson'' operators in the ultraviolet. This leads to a higher scale for flavor physics, and gives a completely natural suppression of flavor-changing neutral currents. We also construct models in which the hierarchy of Yukawa couplings is explained by the dimensionality of composite states. These models provide an interesting and viable alternative to gravity- and gauge-mediated models. The generic signatures are unification of scalar masses with different quantum numbers at the compositeness scale, and lighter gaugino, Higgsino, and third-generation squark and slepton masses. We also analyze large classes of models that give rise to both compositeness and supersymmetry breaking, based on gauge theories with confining, fixed-point, or free-magnetic dynamics.

  18. Supersymmetry, attractors and cosmic censorship

    Energy Technology Data Exchange (ETDEWEB)

    Bellorin, Jorge [Instituto de Fisica Teorica UAM/CSIC, Facultad de Ciencias C-XVI, C.U. Cantoblanco, E-28049 Madrid (Spain)]. E-mail: jorge.bellorin@uam.es; Meessen, Patrick [Instituto de Fisica Teorica UAM/CSIC, Facultad de Ciencias C-XVI, C.U. Cantoblanco, E-28049 Madrid (Spain)]. E-mail: patrick.meessen@cern.ch; Ortin, Tomas [Instituto de Fisica Teorica UAM/CSIC, Facultad de Ciencias C-XVI, C.U. Cantoblanco, E-28049 Madrid (Spain)]. E-mail: tomas.ortin@cern.ch

    2007-01-29

    We show that requiring unbroken supersymmetry everywhere in black-hole-type solutions of N=2, d=4 supergravity coupled to vector supermultiplets ensures in most cases absence of naked singularities. We formulate three specific conditions which we argue are equivalent to the requirement of global supersymmetry. These three conditions can be related to the absence of sources for NUT charge, angular momentum, scalar hair and negative energy, although the solutions can still have globally defined angular momentum and non-trivial scalar fields, as we show in an explicit example. Furthermore, only the solutions satisfying these requirements seem to have a microscopic interpretation in string theory since only they have supersymmetric sources. These conditions exclude, for instance, singular solutions such as the Kerr-Newman with M=|q|, which fails to be everywhere supersymmetric. We also present a re-derivation of several results concerning attractors in N=2, d=4 theories based on the explicit knowledge of the most general solutions in the timelike class.

  19. CALL FOR PAPERS: Special issue: One hundred years of PVI, the Fuchs Painlevé equation

    Science.gov (United States)

    Clarkson, P. A.; Joshi, N.; Mazzocco, M.; Nijhoff, F. W.; Noumi, M.

    2005-10-01

    This is a call for contributions to a special issue of Journal of Physics A: Mathematical and General entitled `One hundred years of Painlevé VI, the Fuchs Painlevé equation'. The motivation behind this special issue is to celebrate the centenary of the discovery of this famous differential equation. The Editorial Board has invited P A Clarkson, N Joshi, M Mazzocco, F W Nijhoff and M Noumi to serve as Guest Editors for the issue. The nonlinear ordinary differential equation, which is nowadays known as the Painlevé VI (PVI) equation, is one of the most important differential equations in mathematical physics. It was discovered 100 years ago by Richard Fuchs (son of the famous mathematician Lazarus Fuchs) and reported for the first time in Comptes Rendus de l'Academie des Sciences Paris 141 555 8 (1905). Gambier, in his seminal paper of 1906, included this equation as the top equation in the list of what are now known as the six Painlevé transcendental equations. The Painlevé list emerged from the work on the classification of all ordinary second-order differential equations whose general solution are `uniform', in the sense that there are no movable (i.e. as a function of the initial data) singularities (meaning branch points) worse than poles. The latter is known as the Painlevé property. As the top equation in the Painlevé list of transcendental equations, the importance of PVI can be appreciated by recognizing that this is a universal differential equation, which is the most general (in terms of number of free parameters) of the known second order ODEs defining nonlinear special functions. As such, parallels can be drawn between the role played by PVI transcendents in the nonlinear case and the hypergeometric functions at the linear level. In fact, the monograph From Gauss to Painlevé by K Iwasaki, H Kimura, S Shimomura and M Yoshida (Vieweg, 1991), draws very clearly the line stretching over more than 150 years of special function theory in which PVI is

  20. Measuring supersymmetry at the large hadron collider

    Indian Academy of Sciences (India)

    B C Allanach

    2003-02-01

    The large hadron collider (LHC) should have the ability to detect supersymmetric particles if low-energy supersymmetry solves the hierarchy problem. Studies of the LHC detection reach, and the ability to measure properties of supersymmetric particles are currently underway. We highlight some of these, such as the reach in minimal supergravity space and correlation with a fine-tuning parameter, precision measurements of edge variables, anomaly- or gauge-mediated supersymmetry breaking. Supersymmetry with baryon-number violation seems at first glance more difficult to detect, but proves to be possible by using leptons from cascade decays.

  1. Cosmological aspects of gauge mediated supersymmetry breakdown

    CERN Document Server

    Dalianis, Ioannis

    2011-01-01

    In this thesis, we study the details of some fundamental cosmological problems of the gauge mediated supersymmetry breakdown and we probe the supersymmetry breaking sector by cosmological arguments. We manifest that problems like the metastable vacuum selection and the gravitino overproduction in the reheated early universe are naturally absent in the most general class of gauge mediation models without including additional ingredients or assumptions. We also find that the gravitino can generically account for the bulk dark matter of the universe. Cosmological implications of a stringy UV-completion of the supersymmetry breaking sector have been also considered.

  2. Integrability of differential equations with fluid mechanics application: from Painleve property to the method of simplest equation

    CERN Document Server

    Dimitrova, Zlatinka I

    2013-01-01

    We present a brief overview of integrability of nonlinear ordinary and partial differential equations with a focus on the Painleve property: an ODE of second order has the Painleve property if the only movable singularities connected to this equation are single poles. The importance of this property can be seen from the Ablowitz-Ramani-Segur conhecture that states that a nonlinear PDE is solvable by inverse scattering transformation only if each nonlinear ODE obtained by exact reduction of this PDE has the Painleve property. The Painleve property motivated motivated much research on obtaining exact solutions on nonlinear PDEs and leaded in particular to the method of simplest equation. A version of this method called modified method of simplest equation is discussed below.

  3. On Setting Limits for Supersymmetry

    Science.gov (United States)

    Simeon, Paul; Toback, David

    2004-10-01

    When searching for new particles two separate production mechanisms from the same theory may produce the same final state. For example, in gauge mediated supersymmetry breaking with \\chi^0_1arrow γ tildeG at least two production mechanisms, \\chi^0_1\\chi^±1 and \\chi^0_2\\chi^±_1, can cascade to produce events with two photons and missing transverse energy. If there is no discovery one wants to set the best possible limits. While it seems obvious that the goal is to find the lowest possible cross section limit, one should be careful and focus on excluding the largest amount of parameter space for a theory. We show that the combined cross section limit from both (or all) production mechanisms that produce the same final state is the most sensitive way to attempt to exclude a theory.

  4. Search for supersymmetry at CDF

    Energy Technology Data Exchange (ETDEWEB)

    CDF Collaboration

    1994-05-01

    We have conducted a search for trilepton events from supersymmetry (SUSY) in p{bar p} collisions at {radical}s = 1.8 TeV. In the Supersymmetric Standard Model (MSSM), trilepton events are expected from chargino-neutralino ({tilde {chi}}{sub 1}{sup {plus_minus}}{tilde {chi}}{sub 2}{sup {minus}0}) pair production, with subsequent decay into leptons. In all possible combinations of electron and muon channels in 19 pb{sup {minus}1} data, we observe no events which pass our trilepton selection criteria. Employing the GUT hypothesis within the framework of the MSSM, our preliminary excludes M({tilde {chi}}{sub 1}{sup {plus_minus}}) <46 GeV/c{sup 2} c{sup 2} for {minus}500 < {mu} < {minus}400 GeV, 2.0 < tan({beta}) < 15.0, and M({tilde q}) = 1.2 {times} M({tilde g}).

  5. A Supersymmetry Model of Leptons

    CERN Document Server

    Liu, C

    2005-01-01

    If supersymmetry (SUSY) is not for stabilizing the electroweak energy scale, what is it used for in particle physics? We propose that it is for flavor problems. A cyclic family symmetry is introduced. Under the family symmetry, only the $\\tau$-lepton is massive due to the vacuum expectation value (VEV) of the Higgs field. This symmetry is broken by a sneutrino VEV which results in the muon mass. The comparatively large sneutrino VEV does not result in a large neutrino mass due to requiring heavy gauginos. SUSY breaks at a high scale $\\sim 10^{13}$ GeV. The electroweak energy scale is unnaturally small. No additional global symmetry, like the R-parity, is imposed. Other aspects of the model are discussed.

  6. Backlund transformations and hierarchies of exact solutions for the fourth Painlevé equation and their application to discrete equations

    CERN Document Server

    Clarkson, P A

    1994-01-01

    In this paper we describe B\\"acklund transformations and hierarchies of exact solutions for the fourth Painlev\\'e equation (PIV) {\\d^2 w\\over\\d z^2}={1\\over2w}\\left(\\d w\\over\\d z\\right)^2 + {{3\\over2}}w^3 + 4zw^2 + 2(z^2-\\alpha)w+{\\beta\\over w},\\eqno(1){\\hbox to 16pt{\\hfill}} with \\alpha, \\beta constants. Specifically, a nonlinear superposition principle for PIV, hierarchies of solutions expressible in terms of complementary error or parabolic cylinder functions as well as rational solutions will be derived. Included amongst these hierarchies are solutions of (1) for which \\alpha=\\pm\\tfr12n and \\beta=-\\tfr12n^2, with n an integer. These particular forms arise in quantum gravity and also satisfy a discrete analogue of the first Painlev\\'e equation. We also obtain a number of exact solutions of the discrete fourth Painlev\\'e equation x_{n+1}x_{n-1}+x_n(x_{n+1}+x_{n-1})= {-2z_nx_n^3+(\\eta-3\\delta^{-2}-z_n^2)x_n^2+\\mu^2\\over (x_n+z_n+\\gamma)(x_n+z_n-\\gamma)},\\eqno(2){\\hbox to 16pt{\\hfill}}}% {\

  7. Dirac neutrino masses from generalized supersymmetry breaking

    Energy Technology Data Exchange (ETDEWEB)

    Demir, D.A. [Izmir Institute of Technology, IZTECH, Izmir (Turkey). Dept. of Physics]|[Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany); Everett, L.L. [University of Wisconsin, Madison, WI (United States), Dept. of Physics; Langacker, P. [Institute for Advanced Study, Princeton, NJ (United States). School of Natural Sciences

    2007-12-15

    We demonstrate that Dirac neutrino masses in the experimentally preferred range are generated within supersymmetric gauge extensions of the Standard Model with a generalized supersymmetry breaking sector. If the usual superpotential Yukawa couplings are forbidden by the additional gauge symmetry (such as a U(1){sup '}), effective Dirac mass terms involving the ''wrong Higgs'' field can arise either at tree level due to hard supersymmetry breaking fermion Yukawa couplings, or at one-loop due to nonanalytic or ''nonholomorphic'' soft supersymmetry breaking trilinear scalar couplings. As both of these operators are naturally suppressed in generic models of supersymmetry breaking, the resulting neutrino masses are naturally in the sub-eV range. The neutrino magnetic and electric dipole moments resulting from the radiative mechanism also vanish at one-loop order. (orig.)

  8. Torsion and Supersymmetry in Omega-background

    CERN Document Server

    Ito, Katsushi; Sasaki, Shin

    2012-01-01

    We study the dimensional reduction of ten-dimensional super Yang-Mills theory in curved backgrounds with torsion. We examine the parallel spinor conditions and the constraints for the torsion parameters which preserve supersymmetry and gauge symmetry in four dimensions. In particular we examine the ten-dimensional Omega-background with the torsion which is identified with the R-symmetry Wilson line gauge fields. After the dimensional reduction, we obtain the Omega-deformed N=4 super Yang-Mills theory. Solving the parallel spinor conditions and the torsion constraints, we classify the deformed supersymmetry associated with the topological twist of N=4 supersymmetry. We also study deformed supersymmetries in the Nekrasov-Shatashvili limit.

  9. Supersymmetry: Early Roots That Did Not Grow

    Directory of Open Access Journals (Sweden)

    Cecilia Jarlskog

    2015-01-01

    Full Text Available This paper is about early roots of supersymmetry, as found in the literature from 1940s and early 1950s. There were models where the power of “partners” in alleviating divergences in quantum field theory was recognized. However, other currently known remarkable features of supersymmetry, such as its role in the extension of the Poincaré group, were not known. There were, of course, no supersymmetric nonabelian quantum field theories in those days.

  10. Dynamical supersymmetry breaking and unification of couplings

    CERN Document Server

    Dubovsky, S L; Troitsky, S V

    1997-01-01

    We consider the possibility of unification of the Supersymmetric Standard Model gauge groups with those of the dynamical supersymmetry breaking (DSB) sector in theories with gauge mediated supersymmetry breaking. We find constraints on the DSB gauge group beta function that come from unification of the gauge coupling constants of the two sectors. These constraints are satisfied by a fairly wide class of models. We discuss possible unification scenarios in the context of a simple model.

  11. Prospects for Supersymmetry at the LHC & Beyond

    CERN Document Server

    AUTHOR|(CDS)2108556

    2015-01-01

    Run 1 of the LHC has provided three new motivations for supersymmetry: the need to stabilize the electroweak vacuum, the mass of the Higgs boson, and the fact that its couplings are Standard Model-like (so far). The prospects for discovering (and measuring) supersymmetry during future runs of the LHC are discussed in the frameworks of the constrained MSSM (CMSSM), models with non-universal soft supersymmetry-breaking contributions to Higgs masses (NUHM1,2) and the phenomenological MSSM with 10 arbitrary soft supersymmetry-breaking parameters (pMSSM10). In addition to the classic searches for missing transverse energy, searches for long-lived charged sparticles may also be promising. If supersymmetry does show up at the LHC, there are good prospects for measurements of the spectrum that can be compared with the indirect indications from other experiments. On the other hand, a higher-energy future circular proton-proton collider may be the best option for discovering supersymmetry if it does not appear at the L...

  12. Painleve-gullstrand-type Coordinates for the Five-dimensional Myers-Perry Black Hole

    Science.gov (United States)

    Finch, Tehani Kahi

    2013-01-01

    The Painleve-Gullstrand coordinates provide a convenient framework for presenting the Schwarzschild geometry because of their flat constant-time hypersurfaces, and the fact that they are free of coordinate singularities outside r=0. Generalizations of Painlev´e-Gullstrand coordinates suitable for the Kerr geometry have been presented by Doran and Nat´ario. These coordinate systems feature a time coordinate identical to the proper time of zero-angular-momentum observers that are dropped from infinity. Here, the methods of Doran and Nat´ario are extended to the five-dimensional rotating black hole found by Myers and Perry. The result is a new formulation of the Myers-Perry metric. The properties and physical significance of these new coordinates are discussed.

  13. The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlevé equation

    Science.gov (United States)

    Filipuk, Galina; Van Assche, Walter; Zhang, Lun

    2012-05-01

    We show that the coefficients of the three-term recurrence relation for orthogonal polynomials with respect to a semi-classical extension of the Laguerre weight satisfy the fourth Painlevé equation when viewed as functions of one of the parameters in the weight. We compare different approaches to derive this result, namely, the ladder operators approach, the isomonodromy deformations approach and combining the Toda system for the recurrence coefficients with a discrete equation. We also discuss a relation between the recurrence coefficients for the Freud weight and the semi-classical Laguerre weight and show how it arises from the Bäcklund transformation of the fourth Painlevé equation.

  14. Construction of a Lax Pair for the E_6^{(1} q-Painlevé System

    Directory of Open Access Journals (Sweden)

    Christopher M. Ormerod

    2012-12-01

    Full Text Available We construct a Lax pair for the $ E^{(1}_6 $ $q$-Painlevé system from first principles by employing the general theory ofsemi-classical orthogonal polynomial systems characterised by divided-difference operators on discrete, quadratic lattices [arXiv:1204.2328]. Our study treats one special case of such lattices - the $q$-linear lattice - through a natural generalisation of the big $q$-Jacobi weight. As a by-product of our construction we derive the coupled first-order $q$-difference equations for the$ E^{(1}_6 $ $q$-Painlevé system, thus verifying our identification. Finally we establish the correspondences of our result with the Lax pairs given earlier and separately by Sakai and Yamada, through explicit transformations.

  15. Generalized Painleve-Gullstrand descriptions of Kerr-Newman black holes

    CERN Document Server

    Lin, Chun-Yu

    2009-01-01

    Generalized Painleve-Gullstrand coordinates for stationary axisymmetric spacetimes are constructed explicitly; and the results are applied to the Kerr-Newman family of rotating black hole solutions with, in general, non-vanishing cosmological constant. Our generalization is also free of coordinate singularities at the horizon(s); but unlike the Doran metric it contains one extra function which is needed to ensure all variables in the metric remain real for all values of the mass, charge, angular momentum and cosmological constant.

  16. Lotka-Volterra systems satisfying a strong Painlevé property

    Science.gov (United States)

    Bountis, Tassos; Vanhaecke, Pol

    2016-12-01

    We use a strong version of the Painlevé property to discover and characterize a new class of n-dimensional Hamiltonian Lotka-Volterra systems, which turn out to be Liouville integrable as well as superintegrable. These systems are in fact Nambu systems, they posses Lax equations and they can be explicitly integrated in terms of elementary functions. We apply our analysis to systems containing only quadratic nonlinearities of the form aijxixj , i ≠ j, and require that all variables diverge as t-1. We also require that the leading terms depend on n - 2 free parameters. We thus discover a cocycle relation among the coefficients aij of the equations of motion and by integrating the cocycle equations we show that they are equivalent to the above strong version of the Painlevé property. We also show that these systems remain explicitly solvable even if a linear term bixi is added to the i-th equation, even though this violates the Painlevé property, as logarithmic singularities are introduced in the Laurent solutions, at the first terms following the leading order pole.

  17. Yukawa CFTs and Emergent Supersymmetry

    CERN Document Server

    Fei, Lin; Klebanov, Igor R; Tarnopolsky, Grigory

    2016-01-01

    We study conformal field theories with Yukawa interactions in dimensions between 2 and 4; they provide UV completions of the Nambu-Jona-Lasinio and Gross-Neveu models which have four-fermion interactions. We compute the sphere free energy and certain operator scaling dimensions using dimensional continuation. In the Gross-Neveu CFT with $N$ fermion degrees of freedom we obtain the first few terms in the $4-\\epsilon$ expansion using the Gross-Neveu-Yukawa model, and the first few terms in the $2+\\epsilon$ expansion using the four-fermion interaction. We then apply Pade approximants to produce estimates in $d=3$. For $N=1$, which corresponds to one 2-component Majorana fermion, it has been suggested that the Yukawa theory flows to a ${\\cal N}=1$ supersymmetric CFT. We provide new evidence that the $4-\\epsilon$ expansion of the $N=1$ Gross-Neveu-Yukawa model respects the supersymmetry. Our extrapolations to $d=3$ appear to be in good agreement with the available results obtained using the numerical conformal boo...

  18. Stop searches in flavourful supersymmetry

    CERN Document Server

    Crivellin, Andreas; Tunstall, Lewis C.

    2016-01-01

    Natural realisations of supersymmetry require light stops ${\\tilde t}_1$, making them a prime target of LHC searches for physics beyond the Standard Model. Depending on the kinematic region, the main search channels are ${\\tilde t_1}\\to t \\tilde \\chi^0_1$, ${\\tilde t_1}\\to W b \\tilde \\chi^0_1$ and ${\\tilde t_1}\\to c \\tilde \\chi^0_1$. We first examine the interplay of these decay modes with ${\\tilde c_1}\\to c \\tilde \\chi^0_1$ in a model-independent fashion, revealing the existence of large regions in parameter space which are excluded for any ${\\tilde t_1}\\to c \\tilde \\chi^0_1$ branching ratio. This effect is then illustrated for scenarios with stop-scharm mixing in the right-handed sector, where it has previously been observed that the stop mass limits can be significantly weakened for large mixing. Our analysis shows that once the LHC bounds from ${\\tilde c_1}\\to c \\tilde \\chi^0_1$ searches are taken into account, non-zero stop-scharm mixing leads only to a modest increase in the allowed regions of parameter...

  19. Stop searches in flavourful supersymmetry

    Science.gov (United States)

    Crivellin, Andreas; Haisch, Ulrich; Tunstall, Lewis C.

    2016-09-01

    Natural realisations of supersymmetry require light stops {tilde{t}}_1 , making them a prime target of LHC searches for physics beyond the Standard Model. Depending on the kinematic region, the main search channels are {tilde{t}}_1to t{tilde{χ}}_1^0 , {tilde{t}}_1to W b{tilde{χ}}_1^0 and {tilde{t}}_1to c{tilde{χ}}_1^0 . We first examine the interplay of these decay modes with {tilde{c}}_1to c{tilde{χ}}_1^0 in a model-independent fashion, revealing that a large parameter space region with stop mass values {m_{tilde{t}}}{_1} up to 530 GeV is excluded for any {tilde{t}}_1to c{tilde{χ}}_1^0 branching ratio by LHC Run I data. The impact of {tilde{c}}_1to c{tilde{χ}}_1^0 decays is further illustrated for scenarios with stop-scharm mixing in the right-handed sector, where it has previously been observed that the stop mass limits can be significantly weakened for large mixing. Our analysis shows that once the {tilde{c}}_1to c{tilde{χ}}_1^0 bounds are taken into account, non-zero stop-scharm mixing can lead to an increase in the allowed parameter space by at most 35%, with large areas excluded for arbitrary mixing.

  20. Dynamical Contents of Unconventional Supersymmetry

    CERN Document Server

    Guevara, Alfredo; Zanelli, Jorge

    2016-01-01

    The Dirac Hamiltonian formalism is applied to a system in $(2+1)$-dimensions consisting of a Dirac field $\\psi$ minimally coupled to Chern-Simons $U(1)$ and $SO(2,1)$ connections, $A$ and $\\omega$, respectively. This theory is connected to a supersymmetric Chern-Simons form in which the gravitino has been projected out (unconventional supersymmetry) and, in the case of a flat background, corresponds to the low energy limit of graphene. The separation between first-class and second-class constraints is performed explicitly, and both the field equations and gauge symmetries of the Lagrangian formalism are fully recovered. The degrees of freedom of the theory in generic sectors shows that the propagating states correspond to fermionic modes in the background determined by the geometry of the graphene sheet and the nondynamical electromagnetic field. This is shown for the following canonical sectors: i) a conformally invariant generic description where the spinor field and the dreibein are locally rescaled; ii) a...

  1. Supersymmetry as a cosmic censor

    CERN Document Server

    Kallosh, Renata E; Ortín, Tomas; Peet, A W; Van Proeyen, A; Kallosh, Renata; Linde, Andrei; Ort\\'in, Tom\\'as; Peet, Amanda; Proeyen, Antoine Van

    1992-01-01

    In supersymmetric theories the mass of any state is bounded below by the values of some of its charges. The corresponding bounds in case of Schwarzschild and Reissner-Nordstr\\"om black holes are known to coincide with the requirement that naked singularities be absent. Here we investigate charged dilaton black holes in this context. We show that the extreme solutions saturate the supersymmetry bound of $N=4\\ d=4$ supergravity, or dimensionally reduced superstring theory. Specifically, we have shown that extreme dilaton black holes, with electric and magnetic charges, admit super-covariantly constant spinors. The supersymmetric positivity bound for dilaton black holes, $M \\geq \\frac{1}{\\sqrt 2}(|Q|+|P|)$, takes care of the absence of naked singularities of the dilaton black holes and is, in this sense, equivalent to the cosmic censorship condition. The temperature, entropy and singularity are discussed. The Euclidean action (entropy) of the extreme black hole is given by $2\\pi |PQ|$. We argue that this result,...

  2. Supersymmetry at the electroweak scale

    CERN Document Server

    Chankowski, P H

    1996-01-01

    The simplest interpretation of the global success of the Standard Model is that new physics decouples well above the electroweak scale. Supersymmetric extension of the Standard Model offers the possibility of light chargino and the right-handed stop (with masses below $M_Z$), and still maintaining the successful predictions of the Standard Model. The value of $R_b$ can then be enhanced up to $\\sim 0.218$ (the Standard Model value is $\\sim 0.216$). Light chargino and stop give important contribution to rare processes such as $b\\rightarrow s \\gamma$, $\\overline K^0-K^0$ and $\\overline B^0-B^0$ mixing but consistency with experimental results is maintained in a large region of the parameter space. The exotic four-jet events reported by ALEPH (if confirmed) may constitute a signal for supersymmetry with such a light spectrum and with explicitly broken $R-$parity. Their interpretation as pair production of charginos with $m_C\\sim 60$ GeV, with subsequent decay $C\\rightarrow \\tilde t_R b \\rightarrow dsb$ (where $m_...

  3. Study of constrained minimal supersymmetry

    CERN Document Server

    Kane, G L; Roszkowski, Leszek; Wells, J D; Chris Kolda; Leszek Roszkowski; James D Wells

    1994-01-01

    Taking seriously phenomenological indications for supersymmetry, we have made a detailed study of unified minimal SUSY, including effects at the few percent level in a consistent fashion. We report here a general analysis without choosing a particular unification gauge group. We find that the encouraging SUSY unification results of recent years do survive the challenge of a more complete and accurate analysis. Taking into account effects at the 5-10% level leads to several improvements of previous results, and allows us to sharpen our predictions for SUSY in the light of unification. We perform a thorough study of the parameter space. The results form a well-defined basis for comparing the physics potential of different facilities. Very little of the acceptable parameter space has been excluded by LEP or FNAL so far, but a significant fraction can be covered when these accelerators are upgraded. A number of initial applications to the understanding of the SUSY spectrum, detectability of SUSY at LEP II or FNAL...

  4. Yukawa-unified natural supersymmetry

    CERN Document Server

    Baer, Howard; Kulkarni, Suchita

    2012-01-01

    Previous work on t-b-\\tau Yukawa-unified supersymmetry, as expected from SUSY GUT theories based on the gauge group SO(10), tended to have exceedingly large electroweak fine-tuning (EWFT). Here, we examine supersymmetric models where we simultaneously require low EWFT ("natural SUSY") and a high degree of Yukawa coupling unification, along with a light Higgs scalar with m_h\\sim125 GeV. As Yukawa unification requires large tan\\beta\\sim50, while EWFT requires rather light third generation squarks and low \\mu\\sim100-250 GeV, B-physics constraints from BR(B\\to X_s\\gamma) and BR(B_s\\to \\mu+\\mu-) can be severe. We are able to find models with EWFT \\Delta\\lesssim 50-100 (better than 1-2% EWFT) and with Yukawa unification as low as R_yuk\\sim1.3 (30% unification) if B-physics constraints are imposed. This may be improved to R_yuk\\sim1.2 if additional small flavor violating terms conspire to improve accord with B-constraints. We present several Yukawa-unified natural SUSY (YUNS) benchmark points. LHC searches will be a...

  5. Testing split supersymmetry with inflation

    Science.gov (United States)

    Craig, Nathaniel; Green, Daniel

    2014-07-01

    Split supersymmetry (SUSY) — in which SUSY is relevant to our universe but largely inaccessible at current accelerators — has become increasingly plausible given the absence of new physics at the LHC, the success of gauge coupling unification, and the observed Higgs mass. Indirect probes of split SUSY such as electric dipole moments (EDMs) and flavor violation offer hope for further evidence but are ultimately limited in their reach. Inflation offers an alternate window into SUSY through the direct production of superpartners during inflation. These particles are capable of leaving imprints in future cosmological probes of primordial non-gaussianity. Given the recent observations of BICEP2, the scale of inflation is likely high enough to probe the full range of split SUSY scenarios and therefore offers a unique advantage over low energy probes. The key observable for future experiments is equilateral non-gaussianity, which will be probed by both cosmic microwave background (CMB) and large scale structure (LSS) surveys. In the event of a detection, we forecast our ability to find evidence for superpartners through the scaling behavior in the squeezed limit of the bispectrum.

  6. Lagrangian supersymmetries depending on derivatives. Global analysis and cohomology

    CERN Document Server

    Giachetta, G; Sardanashvily, G

    2004-01-01

    Lagrangian contact supersymmetries (depending on derivatives of arbitrary order) are treated in very general setting. The cohomology of the variational bicomplex on an arbitrary graded manifold and the iterated cohomology of a generic nilpotent contact supersymmetry are computed. In particular, the first variational formula and conservation laws for Lagrangian systems on graded manifolds using contact supersymmetries are obtained.

  7. Yukawa-unified natural supersymmetry

    Science.gov (United States)

    Baer, Howard; Kraml, Sabine; Kulkarni, Suchita

    2012-12-01

    Previous work on t - b - τ Yukawa-unified supersymmetry, as expected from SUSY GUT theories based on the gauge group SO(10), tended to have exceedingly large electroweak fine-tuning (EWFT). Here, we examine supersymmetric models where we simultaneously require low EWFT ("natural SUSY") and a high degree of Yukawa coupling unification, along with a light Higgs scalar with m h 125 GeV. As Yukawa unification requires large tan β 50, while EWFT requires rather light third generation squarks and low μ ≈ 100 - 250 GeV, B-physics constraints from BR( B → X s γ) and BR( B s → μ + μ -) can be severe. We are able to find models with EWFT Δ ≲ 50 - 100 (better than 1-2% EWFT) and with Yukawa unification as low as R yuk 1.2 (20% unification). The unification is lessened to R yuk 1.3 when B-physics constraints are imposed. We present several Yukawa-unified natural SUSY (YUNS) benchmark points. LHC searches will be able to access gluinos in the lower 1 - 2 TeV portion of their predicted mass range although much of YUNS parameter space may lie beyond LHC14 reach. If heavy Higgs bosons can be accessed at a high rate, then the rare H, A → μ + μ - decay might allow a determination of tan β 50 as predicted by YUNS models. Finally, the predicted light higgsinos should be accessible to a linear e + e - collider with sqrt{s}˜ 0.5 TeV.

  8. Supersymmetry versus black holes at the LHC

    CERN Document Server

    Roy, Arunava

    2007-01-01

    Supersymmetry and extra dimensions are the two most promising candidates for new physics at the TeV scale. Supersymmetric particles or extra-dimensional effects could soon be observed at the Large Hadron Collider. We propose a simple but powerful method to discriminate the two models: the analysis of isolated leptons with high transverse momentum. Black hole events are simulated with the CATFISH black hole generator. Supersymmetry simulations use a combination of PYTHIA and ISAJET, the latter providing the mass spectrum. Our results show the measure of the dilepton invariant mass provides a strong signature to differentiate supersymmetry and black hole events at the Large Hadron Collider. Analysis of event-shape variables and multilepton events complement and strengthen this conclusion.

  9. Supersymmetry Versus Black Holes at the Lhc

    Science.gov (United States)

    Roy, Arunava; Cavaglià, Marco

    Supersymmetry and extra dimensions are the two most promising candidates for new physics at the TeV scale. Supersymmetric particles or extra-dimensional effects could soon be observed at the Large Hadron Collider. We propose a simple but effective method to discriminate the two models: the analysis of isolated leptons with high transverse momentum. Black hole events are simulated with the CATFISH black hole generator. Supersymmetry simulations use a combination of PYTHIA and ISAJET, the latter providing the mass spectrum. Our results show that the measure of the dilepton invariant mass provides a promising signature to differentiate supersymmetry and black hole events at the Large Hadron Collider. Analysis of event-shape variables and multilepton events complement and strengthen this conclusion.

  10. Generalised supersymmetry and p-brane actions

    CERN Document Server

    Hewson, S F

    1997-01-01

    We investigate the most general N=1 graded extension of the Poincare algebra, and find the corresponding supersymmetry transformations and the associated superspaces. We find that the supersymmetry for which {Q,Q}=P is not special, and in fact must be treated democratically with a whole class of supersymmetries. We show that there are two distinct types of grading, and a new class of general spinors is defined. The associated superspaces are shown to be either of the usual type, or flat with no torsion. p-branes are discussed in these general superspaces and twelve dimensions emerges as maximal. New types of brane are discovered which could explain many features of the standard p-brane theories.

  11. Supersymmetry on a space-time lattice

    Energy Technology Data Exchange (ETDEWEB)

    Kaestner, Tobias

    2008-10-28

    In this thesis the WZ model in one and two dimensions has been thoroughly investigated. With the help of the Nicolai map it was possible to construct supersymmetrically improved lattice actions that preserve one of several supersymmetries. For the WZ model in one dimension SLAC fermions were utilized for the first time leading to a near-perfect elimination of lattice artifacts. In addition the lattice superpotential does not get modified which in two dimensions becomes important when further (discrete) symmetries of the continuum action are considered. For Wilson fermions two new improvements have been suggested and were shown to yield far better results than standard Wilson fermions concerning lattice artifacts. In the one-dimensional theory Ward Identities were studied.However, supersymmetry violations due to broken supersymmetry could only be detected at coarse lattices and very strong couplings. For the two-dimensional models a detailed analysis of supersymmetric improvement terms was given, both for Wilson and SLAC fermions. (orig.)

  12. Magnetic Fixed Points and Emergent Supersymmetry

    CERN Document Server

    Antipin, Oleg; Pica, Claudio; Sannino, Francesco

    2011-01-01

    We establish the existence of fixed points for certain gauge theories candidate to be magnetic duals of QCD with one adjoint Weyl fermion. In the perturbative regime of the magnetic theory the existence of a very large number of fixed points is unveiled. We classify them by analyzing their basin of attraction. The existence of several nonsupersymmetric fixed points for the magnetic gauge theory lends further support towards the existence of gauge-gauge duality beyond supersymmetry. We also discover that among these very many fixed points there are supersymmetric ones emerging from a generic nonsupersymmetric renormalization group flow. We therefore conclude that supersymmetry naturally emerges as a fixed point theory from a nonsupersymmetric Lagrangian without the need for fine-tuning of the bare couplings. Our results suggest that supersymmetry can be viewed as an emergent phenomenon in field theory. In particular there should be no need for fine-tuning the bare couplings when performing Lattice simulations ...

  13. Natural inflation and low energy supersymmetry

    Directory of Open Access Journals (Sweden)

    Rolf Kappl

    2015-06-01

    Full Text Available Natural (axionic inflation provides a well-motivated and predictive scheme for the description of the early universe. It leads to sizeable primordial tensor modes and thus a high mass scale of the inflationary potential. Naïvely this seems to be at odds with low (TeV scale supersymmetry, especially when embedded in superstring theory. We show that low scale supersymmetry is compatible with natural (high scale inflation. The mechanism requires the presence of two axions that are provided through the moduli of string theory.

  14. Cosmological constant, supersymmetry, nonassociativity, and big numbers

    Energy Technology Data Exchange (ETDEWEB)

    Dzhunushaliev, Vladimir [KazNU, Department of Theoretical and Nuclear Physics, Almaty (Kazakhstan); IETP, Al-Farabi KazNU, Almaty (Kazakhstan)

    2015-02-01

    The nonassociative generalization of supersymmetry is considered. It is shown that the associator of four supersymmetry generators has the coefficient ∝ ℎ/l{sub 0}{sup 2} where l0 is some characteristic length. Two cases are considered: (a) l{sub 0}{sup -2} coincides with the cosmological constant; (b) l{sub 0} is the classical radius of the electron. It is also shown that the scaled constant is of the order of 10{sup -120} for the first case and 10{sup -30} for the second case. The possible manifestation and smallness of nonassociativity is discussed. (orig.)

  15. Painlevé analysis, integrability and exact solutions for a (2 + 1)-dimensional generalized Nizhnik-Novikov-Veselov equation

    Science.gov (United States)

    Xu, Gui-Qiong; Deng, Shu-Fang

    2016-11-01

    Under investigation in this paper is a (2 + 1)-dimensional generalized NNV equation, which includes as many important nonlinear models as its particular cases. First, we perform the Painlevé test for the generalized NNV equation with the help of symbolic computation, and it is shown that this generalized equation admits the Painlevé property for one set of parametric choices. For the newly obtained integrable equation, we then employ the binary Bell polynomial method to construct the bilinear form, N-soliton solution, bilinear Bäcklund transformation and Lax pair in a systematic way. In addition, some new doubly periodic wave solutions with two arbitrary functions are obtained by means of truncated Painlevé expansions. Finally, the collisions of multiple solitons and periodic waves are interesting and shown by some graphs.

  16. On the Role of Space-Time Foam in Breaking Supersymmetry via the Barbero-Immirzi Parameter

    CERN Document Server

    Ellis, John

    2011-01-01

    We discuss how: (i) a dilaton/axion superfield can play the role of a Barbero-Immirzi field in four-dimensional conformal quantum supergravity theories, (ii) a fermionic component of such a dilaton/axion superfield may play the role of a Goldstino in the low-energy effective action obtained from a superstring theory with F-type global supersymmetry breaking, (iii) this global supersymmetry breaking is communicated to the gravitational sector via the supergravity coupling of the Goldstino, and (iv) such a scenario may be realized explicitly in a D-foam model with D-particle defects fluctuating stochastically.

  17. Stationary axion/dilaton solutions and supersymmetry

    NARCIS (Netherlands)

    Bergshoeff, E. A.; Kallosh, R.; Ortín, Tomas

    1996-01-01

    We present a new set of supersymmetric stationary solutions of pure N = 4, d = 4 supergravity (and, hence, of low-energy effective string theory) that generalize (and include) the Israel-Wilson-Pejes solutions of Einstein-Maxwell theory. All solutions have 1/4 of the supersymmetries unbroken and som

  18. Testing supersymmetry at the next linear collider

    Energy Technology Data Exchange (ETDEWEB)

    Feng, J.L.

    1994-09-01

    If new particles are discovered, it will be important to determine if they are the supersymmetric partners of standard model bosons and fermions. Supersymmetry predicts relations among the couplings and masses of these particles. The authors discuss the prospects for testing these relations at a future e{sup +}e{sup {minus}} linear collider with measurements that exploit the availability of polarized beams.

  19. Supersymmetry in the Fractional Quantum Hall Regime

    CERN Document Server

    Sagi, Eran

    2016-01-01

    Supersymmetry (SUSY) is a symmetry transforming bosons to fermions and vice versa. Indications of its existence have been extensively sought after in high-energy experiments. However, signatures of SUSY have yet to be detected. In this manuscript we propose a condensed matter realization of SUSY on the edge of a Read-Rezayi quantum Hall state, given by filling factors of the form $\

  20. Playing with the enveloping algebra of supersymmetry

    Science.gov (United States)

    Cattaruzza, E.; Gozzi, E.

    2016-10-01

    In this paper, we show how to obtain from a scalar superfield its first component via a similarity transformation. We prove that in D = 4 the generators of this similarity transformation live in the enveloping algebra of supersymmetry while for D = 1 they belong to the basic algebra.

  1. Variations on supersymmetry breaking and neutrino spectra

    Energy Technology Data Exchange (ETDEWEB)

    Borzumati, F.; Hamaguchi, K.; Nomura, Y.; Yanagida, T.

    2000-12-11

    The problem of generating light neutrinos within supersymmetric models is discussed. It is shown that the hierarchy of scales induced by supersymmetry breaking can give rise to suppression factors of the correct order of magnitude to produce experimentally allowed neutrino spectra.

  2. New strings with world-sheet supersymmetry

    CERN Document Server

    Nichols, A; Savvidy, G K

    2004-01-01

    We suggest a new model of string theory with world-sheet supersymmetry. It possesses an additional global fermionic symmetry which is similar in many ways to BRST symmetry. The spectrum consists of massless states of Rarita-Schwinger fields describing infinite tower of half-integer spins.

  3. Singularity development and supersymmetry in holography

    Science.gov (United States)

    Buchel, Alex

    2017-08-01

    We study the effects of supersymmetry on singularity development scenario in holography presented in [1] (BBL). We argue that the singularity persists in a supersymmetric extension of the BBL model. The challenge remains to find a string theory embedding of the singularity mechanism.

  4. Coupled SU(3)-structures and Supersymmetry

    CERN Document Server

    Fino, Anna

    2015-01-01

    We review coupled ${\\rm SU}(3)$-structures, also known in the literature as restricted half-flat structures, in relation to supersymmetry. In particular, we study special classes of examples admitting such structures and the behaviour of flows of ${\\rm SU}(3)$-structures with respect to the coupled condition.

  5. Kinematic dynamo, supersymmetry breaking, and chaos

    Science.gov (United States)

    Ovchinnikov, Igor V.; Enßlin, Torsten A.

    2016-04-01

    The kinematic dynamo (KD) describes the growth of magnetic fields generated by the flow of a conducting medium in the limit of vanishing backaction of the fields onto the flow. The KD is therefore an important model system for understanding astrophysical magnetism. Here, the mathematical correspondence between the KD and a specific stochastic differential equation (SDE) viewed from the perspective of the supersymmetric theory of stochastics (STS) is discussed. The STS is a novel, approximation-free framework to investigate SDEs. The correspondence reported here permits insights from the STS to be applied to the theory of KD and vice versa. It was previously known that the fast KD in the idealistic limit of no magnetic diffusion requires chaotic flows. The KD-STS correspondence shows that this is also true for the diffusive KD. From the STS perspective, the KD possesses a topological supersymmetry, and the dynamo effect can be viewed as its spontaneous breakdown. This supersymmetry breaking can be regarded as the stochastic generalization of the concept of dynamical chaos. As this supersymmetry breaking happens in both the diffusive and the nondiffusive cases, the necessity of the underlying SDE being chaotic is given in either case. The observed exponentially growing and oscillating KD modes prove physically that dynamical spectra of the STS evolution operator that break the topological supersymmetry exist with both real and complex ground state eigenvalues. Finally, we comment on the nonexistence of dynamos for scalar quantities.

  6. Report of the Supersymmetry Theory Subgroup

    Energy Technology Data Exchange (ETDEWEB)

    Wells, James D

    2003-05-23

    We provide a mini-guide to some of the possible manifestations of weak-scale supersymmetry. For each of six scenarios we provide: a brief description of the theoretical underpinnings, the adjustable parameters, a qualitative description of the associated phenomenology at future colliders, and comments on how to simulate each scenario with existing event generators.

  7. Report of the Supersymmetry Theory Subgroup

    Energy Technology Data Exchange (ETDEWEB)

    Amundson, J. [Wisconsin Univ., Madison, WI (United States); Anderson, G. [Fermi National Accelerator Lab., Batavia, IL (United States); Baer, H. [Florida State Univ., Tallahassee, FL (United States)] [and others

    1996-09-17

    We provide a mini-guide to some or the possible manifestations of weak scale supersymmetry. For each of six scenarios we provide: a brief description of the theoretical underpinnings, the adjustable parameters, a qualitative description of the associated phenomenology at future colliders, comments on how to simulate each scenario with existing event generators,

  8. Playing with the enveloping algebra of supersymmetry

    CERN Document Server

    Cattaruzza, E

    2016-01-01

    In this paper we show how to obtain from a scalar superfield its first component via a similarity transformation. We prove that in D=4 the generators of this similarity transformation live in the enveloping algebra of supersymmetry while for D=1 they belong to the basic algebra.

  9. WIMT in Gullstraend-Painleve and Reissner-Nordstroem metrics: induced stable gravito-magnetic monopoles

    Energy Technology Data Exchange (ETDEWEB)

    Romero, Jesus Martin [Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET), Instituto de Investigaciones Fisicas de Mar del Plata (IFIMAR), Mar del Plata (Argentina); Bellini, Mauricio [Universidad Nacional de Mar del Plata, Departamento de Fisica, Facultad de Ciencias Exactas y Naturales, Mar del Plata (Argentina); Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET), Instituto de Investigaciones Fisicas de Mar del Plata (IFIMAR), Mar del Plata (Argentina)

    2015-05-15

    The aim of this work is to apply Weitzeboeck Induced Matter Theory (WIMT) to Gullstraend-Painleve and Reissner-Nordstroem metrics in the framework of WIMT. This is a newly developed method that extends Induced Matter Theory from a curved 5D manifold using the Weitzeboeck's geometry, using the fact that the Riemann-Weitzenboeck curvature tensor is always null. We obtain the presence of currents whose interpretation can lead to the presence of stable gravito-magnetic monopoles. (orig.)

  10. An Ultradiscrete Matrix Version of the Fourth Painlevé Equation

    Directory of Open Access Journals (Sweden)

    Chris M. Field

    2007-06-01

    Full Text Available This paper is concerned with the matrix generalization of ultradiscrete systems. Specifically, we establish a matrix generalization of the ultradiscrete fourth Painlevé equation (ud-PIV. Well-defined multicomponent systems that permit ultradiscretization are obtained using an approach that relies on a group defined by constraints imposed by the requirement of a consistent evolution of the systems. The ultradiscrete limit of these systems yields coupled multicomponent ultradiscrete systems that generalize ud-PIV. The dynamics, irreducibility, and integrability of the matrix-valued ultradiscrete systems are studied.

  11. An Ultradiscrete Matrix Version of the Fourth Painlevé Equation

    Directory of Open Access Journals (Sweden)

    Field ChrisM

    2007-01-01

    Full Text Available This paper is concerned with the matrix generalization of ultradiscrete systems. Specifically, we establish a matrix generalization of the ultradiscrete fourth Painlevé equation (ud- . Well-defined multicomponent systems that permit ultradiscretization are obtained using an approach that relies on a group defined by constraints imposed by the requirement of a consistent evolution of the systems. The ultradiscrete limit of these systems yields coupled multicomponent ultradiscrete systems that generalize ud- . The dynamics, irreducibility, and integrability of the matrix-valued ultradiscrete systems are studied.

  12. Travelling wave solutions for the Painleve-integrable coupled KdV equations

    Directory of Open Access Journals (Sweden)

    Xiao-Biao Lin

    2008-06-01

    Full Text Available We study the travelling wave solutions for a system of coupled KdV equations derived by Lou et al [11]. In that paper, they found 5 types of Painleve integrable systems for the coupled KdV system. We show that each of them can be reduced to a partially or completely uncoupled system, through which the dynamical behavior of travelling wave solutions can be determined. In some parameter regions, exact formulas for periodic and solitary waves can be obtained while in other cases, bounded travelling wave solution are discussed.

  13. Painlevé property, symmetries and symmetry reductions of the coupled Burgers system

    Institute of Scientific and Technical Information of China (English)

    Lian Zeng-Ju; Chen Li-Li; Lou Sen-Yue

    2005-01-01

    The Painlevé property, inverse recursion operator, infinite number of symmetries and Lie symmetry reductions of the coupled Burgers equation are given explicitly. Three sets of infinitely many symmetries of the considered model are obtained by acting the recursion operator and the inverse recursion operator on the trivial symmetries such as the identity transformation, the space translation and the scaling transformation respectively. These symmetries constitute an infinite dimensional Lie algebra while its finite dimensional Lie point symmetry subalgebra is used to find possible symmetry reductions and then the group invariant solutions.

  14. Application of the Jacobi method and integrating factors to a class of Painleve-Gambier equations

    Energy Technology Data Exchange (ETDEWEB)

    Yasar, Emrullah [Department of Mathematics, Faculty of Arts and Sciences, Uludag University, 16059 Bursa (Turkey); Reis, Murat, E-mail: eyasar@uludag.edu.t, E-mail: reis@uludag.edu.t [Department of Mechanical Engineering, Faculty of Engineering and Architecture, Uludag University, 16059 Bursa (Turkey)

    2010-07-23

    In this work, we consider the motion of chain ball drawing with constant force in the frictionless surface which is a class of the Painleve-Gambier equations. We apply Jacobi's method which enables us to obtain Lagrangians of any second-order differential equation. It is comprised that the Lagrangian obtained by Musielak's method is the particular case of the many Lagrangians that can be obtained by Jacobi's method. In addition, we obtain integrating factors and first integrals for the equation in question by Ibragimov's variational derivative approach.

  15. Asymptotic approach for the rigid condition of appearance of the oscillations in the solution of the Painlevé-2 equation

    CERN Document Server

    Kiselev, O M

    1999-01-01

    The asymptotic solution for the Painleve-2 equation with small parameter is considered. The solution has algebraic behavior before point $t_*$ and fast oscillating behavior after the point $t_*$. In the transition layer the behavior of the asymptotic solution is more complicated. The leading term of the asymptotics satisfies the Painleve-1 equation and some elliptic equation with constant coefficients, where the solution of the Painleve-1 equation has poles. The uniform smooth asymptotics are constructed in the interval, containing the critical point $t_*$.

  16. A 2 + 1 non-isospectral integrable lattice hierarchy related to a generalized discrete second Painleve hierarchy

    Energy Technology Data Exchange (ETDEWEB)

    Gordoa, Pilar R. [Area de Matematica Aplicada, ESCET, Universidad Rey Juan Carlos, C/Tulipan s/n, 28933 Mostoles, Madrid (Spain); Pickering, Andrew [Area de Matematica Aplicada, ESCET, Universidad Rey Juan Carlos, C/Tulipan s/n, 28933 Mostoles, Madrid (Spain)]. E-mail: andrew.pickering@urjc.es; Zhu Zuonong [Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200030 (China); Departamento de Matematicas, Universidad de Salamanca, Plaza de la Merced 1, 37008 Salamanca (Spain)

    2006-08-15

    In this article, by considering a 2 + 1 dimensional discrete non-isospectral linear problem, a new 2 + 1 dimensional integrable lattice hierarchy is constructed. It is shown that a generalization of the discrete second Painleve hierarchy can be obtained as a reduction. Other reductions include new 1 + 1 dimensional integrable lattice hierarchies.

  17. Painlevé's paradox and dynamic jamming in simple models of passive dynamic walking

    Science.gov (United States)

    Or, Yizhar

    2014-02-01

    Painlevé's paradox occurs in the rigid-body dynamics of mechanical systems with frictional contacts at configurations where the instantaneous solution is either indeterminate or inconsistent. Dynamic jamming is a scenario where the solution starts with consistent slippage and then converges in finite time to a configuration of inconsistency, while the contact force grows unbounded. The goal of this paper is to demonstrate that these two phenomena are also relevant to the field of robotic walking, and can occur in two classical theoretical models of passive dynamic walking — the rimless wheel and the compass biped. These models typically assume sticking contact and ignore the possibility of foot slippage, an assumption which requires sufficiently large ground friction. Nevertheless, even for large friction, a perturbation that involves foot slippage can be kinematically enforced due to external forces, vibrations, or loose gravel on the surface. In this work, the rimless wheel and compass biped models are revisited, and it is shown that the periodic solutions under sticking contact can suffer from both Painlevé's paradox and dynamic jamming when given a perturbation of foot slippage. Thus, avoidance of these phenomena and analysis of orbital stability with respect to perturbations that include slippage are of crucial importance for robotic legged locomotion.

  18. Noncommutative extensions of elliptic integrable Euler-Arnold tops and Painleve VI equation

    CERN Document Server

    Levin, A; Zotov, A

    2016-01-01

    In this paper we suggest generalizations of elliptic integrable tops to matrix-valued variables. Our consideration is based on $R$-matrix description which provides Lax pairs in terms of quantum and classical $R$-matrices. First, we prove that for relativistic (and non-relativistic) tops such Lax pairs with spectral parameter follow from the associative Yang-Baxter equation and its degenerations. Then we proceed to matrix extensions of the models and find out that some additional constraints are required for their construction. We describe a matrix version of ${\\mathbb Z}_2$ reduced elliptic top and verify that the latter constraints are fulfilled in this case. The construction of matrix extensions is naturally generalized to the monodromy preserving equation. In this way we get matrix extensions of the Painlev\\'e VI equation and its multidimensional analogues written in the form of non-autonomous elliptic tops. Finally, it is mentioned that the matrix valued variables can be replaced by elements of noncommut...

  19. NATO Advanced Research Workshop on Painlevé Transcendents, their Asymptotics and Physical Applications

    CERN Document Server

    Winternitz, Pavel; Painlevé Transcendents, their Asymptotics and Physical Applications

    1992-01-01

    The NATO Advanced Research Workshop "Painleve Transcendents, their Asymp­ totics and Physical Applications", held at the Alpine Inn in Sainte-Adele, near Montreal, September 2 -7, 1990, brought together a group of experts to discuss the topic and produce this volume. There were 41 participants from 14 countries and 27 lectures were presented, all included in this volume. The speakers presented reviews of topics to which they themselves have made important contributions and also re­ sults of new original research. The result is a volume which, though multiauthored, has the character of a monograph on a single topic. This is the theory of nonlinear ordinary differential equations, the solutions of which have no movable singularities, other than poles, and the extension of this theory to partial differential equations. For short we shall call such systems "equations with the Painleve property". The search for such equations was a very topical mathematical problem in the 19th century. Early work concent...

  20. Dynamics of mechanical systems with two sliding contacts: new facets of Painlevé's paradox

    Science.gov (United States)

    Várkonyi, Péter L.

    2017-05-01

    We investigate the dynamics of finite degree-of-freedom, planar mechanical systems with multiple sliding, unilateral frictional point contacts. A complete classification of systems with 2 sliding contacts is given. The contact-mode based approach of rigid body mechanics is combined with linear stability analysis using a compliant contact model to determine the feasibility and the stability of every possible contact mode in each class. Special forms of non-stationary contact dynamics including "impact without collision" and "reverse chattering" are also investigated. Many types of solution inconsistency and the indeterminacy are identified and new phenomena related to Painlev\\'e"s non-existence and non-uniqueness paradoxes are discovered. Among others, we show that the non-existence paradox is not fully resolvable by considering impulsive contact forces. These results contribute to a growing body of evidence that rigid body mechanics cannot be developed into a complete and self-consistent theory in the presence of contacts and friction.

  1. New exact solutions for the discrete fourth Painlevé equation

    CERN Document Server

    Bassom, A P

    1994-01-01

    In this paper we derive a number of exact solutions of the discrete equation x_{n+1}x_{n-1}+x_n(x_{n+1}+x_{n-1})= {-2z_nx_n^3+(\\eta-3\\delta^{-2}-z_n^2)x_n^2+\\mu^2\\over (x_n+z_n+\\gamma)(x_n+z_n-\\gamma)},\\eqno(1) where z_n=n\\delta and \\eta, \\delta, \\mu and \\gamma are constants. In an appropriate limit (1) reduces to the fourth \\p\\ (PIV) equation {\\d^2w\\over\\d z^2} = {1\\over2w}\\left({\\d w\\over\\d z}\\right)^2+\\tfr32w^3 + 4zw^2 + 2(z^2-\\alpha)w +{\\beta\\over w},\\eqno(2) where \\alpha and \\beta are constants and (1) is commonly referred to as the discretised fourth Painlev\\'e equation. A suitable factorisation of (1) facilitates the identification of a number of solutions which take the form of ratios of two polynomials in the variable z_n. Limits of these solutions yield rational solutions of PIV (2). It is also known that there exist exact solutions of PIV (2) that are expressible in terms of the complementary error function and in this article we show that a discrete analogue of this function can be obtained by ana...

  2. Metastable spontaneous breaking of N = 2 supersymmetry

    Science.gov (United States)

    Légeret, Benoît; Scrucca, Claudio A.; Smyth, Paul

    2013-05-01

    We show that contrary to the common lore it is possible to spontaneously break N = 2 supersymmetry even in simple theories without constant Fayet-Iliopoulos terms. We consider the most general N = 2 supersymmetric theory with one hypermultiplet and one vector multiplet without Fayet-Iliopoulos terms, and show that metastable supersymmetry breaking vacua can arise if both the hyper-Kähler and the special-Kähler geometries are suitably curved. We then also prove that while all the scalars can be massive, the lightest one is always lighter than the vector boson. Finally, we argue that these results also directly imply that metastable de Sitter vacua can exist in N = 2 supergravity theories with Abelian gaugings and no Fayet-Iliopoulos terms, again contrary to common lore, at least if the cosmological constant is sufficiently large.

  3. Supersymmetry Parameter Analysis : SPA Convention and Project

    CERN Document Server

    Aguilar-Saavedra, J A; Allanach, Benjamin C; Arnowitt, R; Baer, H A; Bagger, J A; Balázs, C; Barger, V; Barnett, M; Bartl, Alfred; Battaglia, M; Bechtle, P; Belyaev, A; Berger, E L; Blair, G; Boos, E; Bélanger, G; Carena, M S; Choi, S Y; Deppisch, F; Desch, Klaus; Djouadi, A; Dutta, B; Dutta, S; Díaz, M A; Eberl, H; Ellis, Jonathan Richard; Erler, Jens; Fraas, H; Freitas, A; Fritzsche, T; Godbole, Rohini M; Gounaris, George J; Guasch, J; Gunion, J F; Haba, N; Haber, Howard E; Hagiwara, K; Han, L; Han, T; He, H J; Heinemeyer, S; Hesselbach, S; Hidaka, K; Hinchliffe, Ian; Hirsch, M; Hohenwarter-Sodek, K; Hollik, W; Hou, W S; Hurth, Tobias; Jack, I; Jiang, Y; Jones, D R T; Kalinowski, Jan; Kamon, T; Kane, G; Kang, S K; Kernreiter, T; Kilian, W; Kim, C S; King, S F; Kittel, O; Klasen, M; Kneur, J L; Kovarik, K; Kraml, Sabine; Krämer, M; Lafaye, R; Langacker, P; Logan, H E; Ma, W G; Majerotto, Walter; Martyn, H U; Matchev, K; Miller, D J; Mondragon, M; Moortgat-Pick, G; Moretti, S; Mori, T; Moultaka, G; Muanza, S; Mukhopadhyaya, B; Mühlleitner, M M; Nauenberg, U; Nojiri, M M; Nomura, D; Nowak, H; Okada, N; Olive, Keith A; Oller, W; Peskin, M; Plehn, T; Polesello, G; Porod, Werner; Quevedo, Fernando; Rainwater, D L; Reuter, J; Richardson, P; Rolbiecki, K; de Roeck, A; Weber, Ch.

    2006-01-01

    High-precision analyses of supersymmetry parameters aim at reconstructing the fundamental supersymmetric theory and its breaking mechanism. A well defined theoretical framework is needed when higher-order corrections are included. We propose such a scheme, Supersymmetry Parameter Analysis SPA, based on a consistent set of conventions and input parameters. A repository for computer programs is provided which connect parameters in different schemes and relate the Lagrangian parameters to physical observables at LHC and high energy e+e- linear collider experiments, i.e., masses, mixings, decay widths and production cross sections for supersymmetric particles. In addition, programs for calculating high-precision low energy observables, the density of cold dark matter (CDM) in the universe as well as the cross sections for CDM search experiments are included. The SPA scheme still requires extended efforts on both the theoretical and experimental side before data can be evaluated in the future at the level of the d...

  4. Supersymmetry - When Theory Inspires Experimental Searches

    CERN Document Server

    AUTHOR|(CDS)2070740

    2014-01-01

    We review, in the first part of this work, many pioneering works on supersymmetry and organize these results to show how supersymmetric quantum field theories arise from spin-statistics, N{\\oe}ther and a series of no-go theorems. We then introduce the so-called superspace formalism dedicated to the natural construction of supersymmetric Lagrangians and detail the most popular mechanisms leading to soft supersymmetry breaking. As an application, we describe the building of the Minimal Supersymmetric Standard Model and investigate current experimental limits on the parameter space of its most constrained versions. To this aim, we use various flavor, electroweak precision, cosmology and collider data. We then perform several phenomenological excursions beyond this minimal setup and probe effects due to non-minimal flavor violation in the squark sector, revisiting various constraints arising from indirect searches for superpartners. Next, we use several interfaced high-energy physics tools, including the FeynRule...

  5. Dirac Gauginos in Low Scale Supersymmetry Breaking

    CERN Document Server

    Goodsell, Mark D

    2014-01-01

    It has been claimed that Dirac gaugino masses are necessary for realistic models of low-scale supersymmetry breaking, and yet very little attention has been paid to the phenomenology of a light gravitino when gauginos have Dirac masses. We begin to address this deficit by investigating the couplings and phenomenology of the gravitino in the effective Lagrangian approach. We pay particular attention to the phenomenology of the scalar octets, where new decay channels open up. This leads us to propose a new simplified effective scenario including only light gluinos, sgluons and gravitinos, allowing the squarks to be heavy -- with the possible exception of the third generation. Finally, we comment on the application of our results to Fake Split Supersymmetry.

  6. Dirac gauginos in low scale supersymmetry breaking

    Energy Technology Data Exchange (ETDEWEB)

    Goodsell, Mark D., E-mail: mark.goodsell@lpthe.jussieu.fr [Sorbonne Universités, UPMC Univ. Paris 06, UMR 7589, LPTHE, F-75005, Paris (France); CNRS, UMR 7589, LPTHE, F-75005, Paris (France); Tziveloglou, Pantelis, E-mail: pantelis.tziveloglou@vub.ac.be [Theoretische Natuurkunde and IIHE, Vrije Universiteit Brussel, Pleinlaan 2, B-1050 Brussels (Belgium); International Solvay Institutes, Brussels (Belgium)

    2014-12-15

    It has been claimed that Dirac gaugino masses are necessary for realistic models of low-scale supersymmetry breaking, and yet very little attention has been paid to the phenomenology of a light gravitino when gauginos have Dirac masses. We begin to address this deficit by investigating the couplings and phenomenology of the gravitino in the effective Lagrangian approach. We pay particular attention to the phenomenology of the scalar octets, where new decay channels open up. This leads us to propose a new simplified effective scenario including only light gluinos, sgluons and gravitinos, allowing the squarks to be heavy – with the possible exception of the third generation. Finally, we comment on the application of our results to Fake Split Supersymmetry.

  7. Deconstructing zero: resurgence, supersymmetry and complex saddles

    Science.gov (United States)

    Dunne, Gerald V.; Ünsal, Mithat

    2016-12-01

    We explain how a vanishing, or truncated, perturbative expansion, such as often arises in semi-classically tractable supersymmetric theories, can nevertheless be related to fluctuations about non-perturbative sectors via resurgence. We also demonstrate that, in the same class of theories, the vanishing of the ground state energy (unbroken supersymmetry) can be attributed to the cancellation between a real saddle and a complex saddle (with hidden topological angle π), and positivity of the ground state energy (broken supersymmetry) can be interpreted as the dominance of complex saddles. In either case, despite the fact that the ground state energy is zero to all orders in perturbation theory, all orders of fluctuations around non-perturbative saddles are encoded in the perturbative E ( N, g). We illustrate these ideas with examples from supersymmetric quantum mechanics and quantum field theory.

  8. Metastable spontaneous breaking of N=2 supersymmetry

    Energy Technology Data Exchange (ETDEWEB)

    Légeret, Benoît; Scrucca, Claudio A., E-mail: claudio.scrucca@epfl.ch; Smyth, Paul

    2013-05-24

    We show that contrary to the common lore it is possible to spontaneously break N=2 supersymmetry even in simple theories without constant Fayet–Iliopoulos terms. We consider the most general N=2 supersymmetric theory with one hypermultiplet and one vector multiplet without Fayet–Iliopoulos terms, and show that metastable supersymmetry breaking vacua can arise if both the hyper-Kähler and the special-Kähler geometries are suitably curved. We then also prove that while all the scalars can be massive, the lightest one is always lighter than the vector boson. Finally, we argue that these results also directly imply that metastable de Sitter vacua can exist in N=2 supergravity theories with Abelian gaugings and no Fayet–Iliopoulos terms, again contrary to common lore, at least if the cosmological constant is sufficiently large.

  9. Deconstructing zero: resurgence, supersymmetry and complex saddles

    CERN Document Server

    Dunne, Gerald V

    2016-01-01

    We explain how a vanishing, or truncated, perturbative expansion, such as often arises in semi-classically tractable supersymmetric theories, can nevertheless be related to fluctuations about non-perturbative sectors via resurgence. We also demonstrate that, in the same class of theories, the vanishing of the ground state energy (unbroken supersymmetry) can be attributed to the cancellation between a real saddle and a complex saddle (with hidden topological angle pi), and positivity of the ground state energy (broken supersymmetry) can be interpreted as the dominance of complex saddles. In either case, despite the fact that the ground state energy is zero to all orders in perturbation theory, all orders of fluctuations around non-perturbative saddles are encoded in the perturbative E(N, g). We illustrate these ideas with examples from supersymmetric quantum mechanics and quantum field theory.

  10. Searches for Supersymmetry at the Tevatron

    CERN Document Server

    Meyer, A; Abolins, M; Acharya, B S; Adams, D L; Adams, M; Adams, T; Agelou, M; Abazov, V M; Agram, J L; Ahmed, S N; Ahn, S H; Alexeev, G D; Alkhazov, G; Alton, A; Alverson, G; Alves, G A; Anderson, S; Andrieu, B; Arnoud, Y; Askew, A; Åsman, B; Autermann, C; Avila, C; Babukhadia, L; Bacon, Trevor C; Baden, A; Baffioni, S; Baldin, B Yu; Balm, P W; Banerjee, S; Barberis, E; Bargassa, P; Baringer, P; Barnes, C; Barreto, J; Bartlett, J F; Bassler, U; Bauer, D; Bean, A; Beauceron, S; Beaudette, F; Begel, M; Beri, S B; Bernardi, G; Bertram, I; Besançon, M; Besson, A; Beuselinck, R; Bezzubov, V A; Bhat, P C; Bhatnagar, V; Bhattacharjee, M; Binder, M; Bischoff, A; Black, K M; Blackler, I; Blazey, G; Blekman, F; Bloch, D; Blumenschein, U; Böhnlein, A; Bolton, T; Bonamy, P; Borcherding, F; Borissov, G; Bos, K; Bose, T; Boswell, C; Brandt, A; Briskin, G; Brock, R; Brooijmans, G; Bross, A; Buchholz, D; Bühler, M; Büscher, V; Burdin, S; Burnett, T H; Busato, E; Butler, J M; Bystrický, J; Canelli, F; Carvalho, W; Casey, B C K; Casey, D; Cason, N M; Castilla-Valdez, H; Chakrabarti, S; Chakraborty, D; Chan, K M; Chandra, A; Chapin, D; Charles, F; Cheu, E; Chevalier, L; Cho, D K; Choi, S; Chopra, S; Christiansen, T; Christofek, L; Claes, D; Clark, A R; Clément, C; Coadou, Y; Colling, D J; Coney, L; Connolly, B; Cooper, W E; Coppage, D; Corcoran, M; Coss, J; Cothenet, A; Cousinou, M C; Crepe-Renaudin, S; Cristetiu, M; Cummings, M A C; Cutts, D; Da Motta, H; Davies, B; Davies, G; Davis, G A; De, K; de Jong, P; De Jong, S J; De La Cruz-Burelo, E; De Oliveira Martins, C; Dean, S; Del Signore, K; Déliot, F; Delsart, P A; Demarteau, M; Demina, R; Demine, P; Denisov, D; Denisov, S P; Desai, S; Diehl, H T; Diesburg, M; Doidge, M; Dong, H; Doulas, S; Duflot, L; Dugad, S R; Duperrin, A; Dyer, J; Dyshkant, A; Eads, M; Edmunds, D; Edwards, T; Ellison, J; Elmsheuser, J; Eltzroth, J T; Elvira, V D; Eno, S; Ermolov, P; Eroshin, O V; Estrada, J; Evans, D; Evans, H; Evdokimov, A; Evdokimov, V N; Fast, J; Fatakia, S N; Fein, D; Feligioni, L; Ferbel, T; Fiedler, F; Filthaut, F; Fisk, H E; Fleuret, F; Fortner, M; Fox, H; Freeman, W; Fu, S; Fuess, S; Galea, C F; Gallas, E; Galyaev, E; Gao, M; García, C; García-Bellido, A; Gardner, J; Gavrilov, V; Gelé, D; Gelhaus, R; Genser, K; Gerber, C E; Gershtein, Yu; Geurkov, G; Ginther, G; Goldmann, K S; Golling, T; Gómez, B; Gounder, K; Goussiou, A; Graham, G; Grannis, P D; Greder, S; Green, J A; Greenlee, H; Greenwood, Z D; Gregores, E M; Grinstein, S; Grivaz, J F; Groer, L S; Grünendahl, S; Grünewald, M W; Gu, W; Gurzhev, S N; Gutíerrez, G; Gutíerrez, P; Haas, A; Hadley, N J; Haggerty, H; Hagopian, S L; Hall, I; Hall, R E; Han, C; Han, L; Hanagaki, K; Hanlet, P; Harder, K; Hauptman, J M; Hauser, R; Hays, C; Hays, J; Hebert, C; Hedin, D; Heinmiller, J M; Heinson, A P; Heintz, U; Hensel, C; Hesketh, G; Hildreth, M D; Hirosky, R; Hobbs, J D; Hoeneisen, B; Hohlfeld, M; Hong, S J; Hooper, R; Hou, S; Hu, Y; Huang, J; Huang, Y; Iashvili, I; Illingworth, R; Ito, A S; Jabeen, S; Jaffré, M; Jain, S; Jain, V; Jakobs, K; Jenkins, A; Jesik, R; Jiang, Y; Johns, K; Johnson, M; Johnson, P; Jonckheere, A; Jonsson, P; Jöstlein, H; Juste, A; Kado, M; Käfer, D; Kahl, W; Kahn, S; Kajfasz, E; Kalinin, A M; Kalk, J; Karmanov, D; Kasper, J; Kau, D; Ke, Z; Kehoe, R; Kermiche, S; Kesisoglou, S; Khanov, A; Kharchilava, A I; Kharzheev, Yu M; Kim, K H; Klima, B; Klute, M; Kohli, J M; Kopal, M; Korablev, V; Kotcher, J; Kothari, B; Kotwal, A V; Koubarovsky, A; Kouchner, A; Kuznetsov, O; Kozelov, A V; Kozminski, J; Krane, J; Krishnaswamy, M R; Krzywdzinski, S; Kubantsev, M A; Kuleshov, S; Kulik, Y; Kunori, S; Kupco, A; Kurca, T; Kuznetsov, V E; Lager, S; Lahrichi, N; Landsberg, G L; Lazoflores, J; Le Bihan, A C; Lebrun, P; Lee, S W; Lee, W M; Leflat, A; Leggett, C; Lehner, F; Leonidopoulos, C; Lewis, P; Li, J; Li, Q Z; Li, X; Lima, J G R; Lincoln, D; Linn, S L; Linnemann, J T; Lipton, R; Lobo, L; Lobodenko, A A; Lokajícek, M; Lounis, A; Lü, J; Lubatti, H J; Lucotte, A; Lueking, L H; Luo, C; Lynker, M; Lyon, A L; Maciel, A K A; Madaras, R J; Magnan, A M; Maity, M; Mal, P K; Malik, S; Malyshev, V L; Manankov, V; Mao, H S; Maravin, Y; Marshall, T; Martens, M; Martin, M I; Mattingly, S E K; Mayorov, A A; McCarthy, R; McCroskey, R; McMahon, T; Meder, D; Melanson, H L; Melnitchouk, A S; Meng, X; Merkin, M; Merritt, K W B; Miao, C; Miettinen, H; Mihalcea, D; Mishra, C S; Mitrevski, J; Mokhov, N V; Molina, J; Mondal, N K; Montgomery, H E; Moore, R W; Mostafa, M A; Muanza, G S; Mulders, M; Mutaf, Y D; Nagy, E; Nang, F; Narain, M; Narasimham, V S; Naumann, N A; Neal, H A; Negret, J P; Nelson, S; Neustroev, P; Nöding, C; Nomerotski, A; Novaes, S F; Nunnemann, T; Nurse, E; O'Dell, V; O'Neil, D C; Oguri, V; Oliveira, N; Olivier, B; Oshima, N; Oteroy-Garzon, G J; Padley, P; Papageorgiou, K; Parashar, N; Park, J; Park, S K; Parsons, J; Partridge, R; Parua, N; Patwa, A; Perea, P M; Pérez, E; Peters, O; Petroff, P; Petteni, M; Phaf, L K; Piegaia, R; Podesta-Lerma, P L M; Podstavkov, V M; Pope, B G; Popkov, E; Prado da Silva, W L; Prosper, H B; Protopopescu, S D; Przybycien, M B; Qian, J; Quadt, A; Quinn, B; Rani, K J; Rapidis, P A; Ratoff, P N; Reay, N W; Renardy, J F; Reucroft, S; Rha, J; Ridel, M; Rijssenbeek, M; Ripp-Baudot, I; Rizatdinova, F K; Royon, C; Rubinov, P; Ruchti, R; Sabirov, B M; Sajot, G; Sánchez-Hernández, A; Sanders, M P; Santoro, A F S; Savage, G; Sawyer, L; Scanlon, T; Schamberger, R D; Schellman, H; Schieferdecker, P; Schmitt, C; Schukin, A; Schwartzman, A; Schwienhorst, R; Sen-Gupta, S; Shabalina, E; Shary, V; Shephard, W D; Shpakov, D; Sidwell, R A; Simák, V; Sirotenko, V I; Skow, D; Slattery, P F; Smith, R P; Smolek, K; Snow, G R; Snow, J; Snyder, S; Söldner-Rembold, S; Song, X; Song, Y; Sonnenschein, L; Sopczak, A; Sorin, V; Sosebee, M; Soustruznik, K; Souza, M; Stanton, N R; Stark, J; Steele, J; Steinbruck, G; Stevenson, K; Stolin, V; Stone, A; Stoyanova, D A; Strandberg, J; Strang, M A; Strauss, M; Ströhmer, R; Strovink, M; Stutte, L; Sznajder, A; Talby, M; Tamburello, P; Taylor, W; Telford, P; Temple, J; Tentindo-Repond, S; Thomas, E; Thooris, B; Tomoto, M; Toole, T; Torborg, J; Towers, S; Trefzger, T; Trincaz-Duvoid, S; Trippe, T G; Tuchming, B; Turcot, A S; Tuts, P M; Uvarov, L; Uvarov, S; Uzunyan, S; Vachon, B; Van Kooten, R; Van Leeuwen, W M; Varelas, N; Varnes, E W; Vasilyev, I; Verdier, P; Vertogradov, L S; Verzocchi, M; Villeneuve-Séguier, F; Vlimant, J R; Von Törne, E; Vreeswijk, M; Vu-Anh, T; Wahl, H D; Walker, R; Wallace, N; Wang, Z M; Warchol, J; Warsinsky, M; Watts, G; Wayne, M; Weber, M; Weerts, H; Wegner, M; White, A; White, V; Whiteson, D; Wicke, D; Wijngaarden, D A; Wilson, G W; Wimpenny, S J; Wittlin, J; Wlodek, T; Wobisch, M; Womersley, J; Wood, D R; Wu, Z; Wyatt, T R; Xu, Q; Xuan, N; Yamada, R; Yasuda, T; Yatsunenko, Y A; Yen, Y; Yip, K; Youn, S W; Yu, J; Yurkewicz, A; Zabi, A; Zatserklyaniy, A; Zdrazil, M; Zeitnitz, C; Zhang, B; Zhang, D; Zhang, X; Zhao, T; Zhao, Z; Zheng, H; Zhou, B; Zhou, Z; Zhu, J; Zielinski, M; Zieminska, D; Zieminski, A; Zitoun, R; Zutshi, V; Zverev, E G; Zylberstejn, A; Meyer, Arnd

    2004-01-01

    Both Tevatron experiments, D0 and CDF, have searched for signs of Supersymmetry in the present Run II data sample, using integrated luminosities of up to 260/pb collected in ppbar collisions at a center-of-mass energy of 1.96TeV. In these proceedings, new results are presented in the search for squarks and gluinos in the jets and missing transverse energy final state, associated production of charginos and neutralinos with multilepton final states, search for the rare decay B_s->mumu, searches allowing R-parity violation (muons+jets, multileptons), and searches in the gauge mediated supersymmetry breaking framework with the final state of two photons and missing transverse energy. In the absence of any significant deviation from Standard Model expectations, limits on the presence of new physics are set, which in many cases are the most stringent to date.

  11. Why supersymmetry? Physics beyond the standard model

    Indian Academy of Sciences (India)

    ROMESH K KAUL

    2016-09-01

    The Naturalness Principle as a requirement that the heavy mass scales decouple from the physics of light mass scales is reviewed. In quantum field theories containing {\\em elementary} scalar fields, such as the StandardModel of electroweak interactions containing the Higgs particle, mass of the scalar field is not a natural parameter as it receives large radiative corrections. How supersymmetry solves this Naturalness Problem is outlined. Thereare also other contexts where the presence of elementary scalar fields generically spoils the high–low mass scales decoupling in the quantum theory. As an example of this, the non-decoupling of possible Planck scale violationof Lorentz invariance due to quantum gravity effects from the physics at low scales in theories with elementary scalar fields such as the Higgs field is described. Here again supersymmetry provides a mechanism for ensuringthat the decoupling of heavy–light mass scales is maintained.

  12. Residual Local Supersymmetry and the Soft Gravitino

    Science.gov (United States)

    Avery, Steven G.; Schwab, Burkhard U. W.

    2016-04-01

    We show that there exists an infinite tower of fermionic symmetries in pure d =4 , N =1 supergravity on an asymptotically flat background. The Ward identities associated with these symmetries are equivalent to the soft limit of the gravitino and to the statement of supersymmetry at every angle. Additionally, we show that these charges commute into charges associated with the (unextended) Bondi-Metzner-Sachs (BMS) group, providing a supersymmetrization of the BMS translations.

  13. Superstring gravitational wave backgrounds with spacetime supersymmetry

    CERN Document Server

    Kiritsis, Elias B; Lüst, Dieter; Kiritsis, E; Kounnas, C; Lüst, D

    1994-01-01

    We analyse the stringy gravitational wave background based on the current algebra E.sup(c).sub(2). We determine its exact spectrum and construct the modular invariant vacuum energy. The corresponding N=1 extension is also constructed. The algebra is again mapped to free bosons and fermions and we show that this background has N=4 (N=2) unbroken spacetime supersymmetry in the type II (heterotic case).

  14. Model building and phenomenology in supersymmetry

    Energy Technology Data Exchange (ETDEWEB)

    Kim Jong Soo

    2008-09-15

    Supersymmetry (SUSY) stabilizes the hierarchy between the electroweak scale and the scale of grand unified theories (GUT) or the Planck scale. The simplest supersymmetric extension of the SM, the minimal supersymmetric SM (MSSM) solves several phenomenological problems, e. g. the gauge couplings unify and the lightest supersymmetric particle (LSP) is a dark matter candidate. In this thesis, Jarlskog invariants, squark pair production at the LHC and massive neutrinos are discussed in the framework of the MSSM and its extensions. (orig.)

  15. The heterotic string yields natural supersymmetry

    Energy Technology Data Exchange (ETDEWEB)

    Krippendorf, Sven, E-mail: krippendorf@th.physik.uni-bonn.de [Bethe Center for Theoretical Physics and Physikalisches Institut der Universitaet Bonn, Nussallee 12, 53115 Bonn (Germany); Nilles, Hans Peter, E-mail: nilles@th.physik.uni-bonn.de [Bethe Center for Theoretical Physics and Physikalisches Institut der Universitaet Bonn, Nussallee 12, 53115 Bonn (Germany); Ratz, Michael, E-mail: michael.ratz@tum.de [Physik-Department T30, Technische Universitaet Muenchen, James-Franck-Strasse, 85748 Garching (Germany); Winkler, Martin Wolfgang, E-mail: martin.winkler@tum.de [Physik-Department T30, Technische Universitaet Muenchen, James-Franck-Strasse, 85748 Garching (Germany)

    2012-05-30

    The most promising MSSM candidates of the heterotic string reveal some distinctive properties. These include gauge-top unification, a specific solution to the {mu}-problem and mirage pattern for the gaugino masses. The location of the top- and the Higgs-multiplets in extra dimensions differs significantly from that of the other quarks and leptons leading to a characteristic signature of suppressed soft breaking terms, reminiscent of a scheme known as natural supersymmetry.

  16. Massive Gravity with N=1 local Supersymmetry

    CERN Document Server

    Malaeb, Ola

    2013-01-01

    A consistent theory of massive gravity, where the graviton acquires mass by spontaneously breaking diffeomorphism invariance, is now well established. We supersymmetrize this construction using N =1 fields. Coupling to N = 1 supergravity is done by applying the rules of tensor calculus to construct an action invariant under local N = 1 supersymmetry. The supersymmetric action is shown, at the quadratic level, to be free of ghosts and have as its spectrum a massive graviton, two gravitinos with different masses, and a massive vector.

  17. Supersymmetry search via gauge boson fusion

    Indian Academy of Sciences (India)

    Anindya Datta

    2003-02-01

    We propose a novel method for the search of supersymmetry, especially for the electroweak gauginos at the large hadron collider (LHC). Gauge boson fusion technique was shown to be useful for heavy and intermediate mass Higgs bosons. In this article, we have shown that this method can also be applied to find the signals of EW gauginos in supersymmetric theories where the canonical search strategies for these particles fail.

  18. Discriminating Supersymmetry and Black Holes at the Large Hadron Collider

    Science.gov (United States)

    Roy, Arunava; Cavaglia, Marco

    2008-04-01

    We assess the distinguishability between supersymmetry and black hole events at the Large Hadron Collider. Black hole events are simulated with the CATFISH black hole generator. Supersymmetry simulations use a combination of PYTHIA and ISAJET. Our study, based on event shape variables, visible and missing momenta, and analysis of dilepton events, shows that supersymmetry and black hole events at the LHC can be easily discriminated.

  19. Supersymmetry Parameter Analysis: SPA Convention and Project

    Energy Technology Data Exchange (ETDEWEB)

    Hinchliffe, I.; et al.

    2005-05-05

    High-precision analyses of supersymmetry parameters aim atreconstructing the fundamental supersymmetric theory and its breakingmechanism. A well defined theoretical framework is needed whenhigher-order corrections are included. We propose such a scheme,Supersymmetry Parameter Analysis SPA, based on a consistent set ofconventions and input parameters. A repository for computer programs isprovided which connect parameters in different schemes and relate theLagrangian parameters to physical observables at LHC and high energy e+e-linear collider experiments, i.e., masses, mixings, decay widths andproduction cross sections for supersymmetric particles. In addition,programs for calculating high-precision low energy observables, thedensity of cold dark matter (CDM) in the universe as well as the crosssections for CDM search experiments are included. The SPA scheme stillrequires extended efforts on both the theoretical and experimental sidebefore data can be evaluated in the future at the level of the desiredprecision. We take here an initial step of testing the SPA scheme byapplying the techniques involved to a specific supersymmetry referencepoint.

  20. Enhanced Higgs Mass in Compact Supersymmetry

    CERN Document Server

    Tobioka, Kohsaku; Murayama, Hitoshi

    2015-01-01

    The current LHC results make weak scale supersymmetry difficult due to relatively heavy mass of the discovered Higgs boson and the null results of new particle searches. Geometrical supersymmetry breaking from extra dimensions, Scherk-Schwarz mechanism, is possible to accommodate such situations. A concrete example, the Compact Supersymmetry model, has a compressed spectrum ameliorating the LHC bounds and large mixing in the top and scalar top quark sector with $|A_t|\\sim 2m_{\\tilde{t}}$ which radiatively raises the Higgs mass. While the zero mode contributions of the model has been considered, in this paper we calculate the Kaluza-Klein tower effect to the Higgs mass. Although such contributions are naively expected to be as small as a percent level for 10 TeV Kaluza-Klein modes, we find the effect significantly enhances the radiative correction to the Higgs quartic coupling by from 10 to 50 %. This is mainly because the top quark wave function is pushed out from the brane, which makes the top Yukawa couplin...

  1. Enhanced Higgs mass in Compact Supersymmetry

    Science.gov (United States)

    Tobioka, Kohsaku; Kitano, Ryuichiro; Murayama, Hitoshi

    2016-04-01

    The current LHC results make weak scale supersymmetry difficult due to relatively heavy mass of the discovered Higgs boson and the null results of new particle searches. Geometrical supersymmetry breaking from extra dimensions, Scherk-Schwarz mechanism, is possible to accommodate such situations. A concrete example, the Compact Supersymmetry model, has a compressed spectrum ameliorating the LHC bounds and large mixing in the top and scalar top quark sector with |{A}_t|˜ 2{m}_{tilde{t}} which radiatively raises the Higgs mass. While the zero mode contribution of the model has been considered, in this paper we calculate the Kaluza-Klein tower effect to the Higgs mass. Although such contributions are naively expected to be as small as a percent level for 10 TeV Kaluza-Klein modes, we find the effect significantly enhances the radiative correction to the Higgs quartic coupling by from 10 to 50%. This is mainly because the top quark wave function is pushed out from the brane, which makes the top mass depend on higher powers in the Higgs field. As a result the Higgs mass is enhanced up to 15 GeV from the previous calculation. We also show the whole parameter space is testable at the LHC run II.

  2. Linking natural supersymmetry to flavour physics

    Energy Technology Data Exchange (ETDEWEB)

    Dudas, Emilian [Centre de Physique Théorique, École Polytechnique, CNRS,Palaiseau (France); Gersdorff, Gero von [ICTP South American Institute for Fundamental Research,Instituto de Fisica Teorica, Sao Paulo State University,Sao Paulo (Brazil); Pokorski, Stefan [Institute of Theoretical Physics, Faculty of Physics, University of Warsaw,Warsaw (Poland); Ziegler, Robert [TUM-IAS and Physik Department, Technische Universität München,Munich (Germany)

    2014-01-22

    With the aim of linking natural supersymmetry to flavour physics, a model is proposed based on a family symmetry G×U(1), where G is a discrete nonabelian subgroup of SU(2), with both F-term and (abelian) D-term supersymmetry breaking. A good fit to the fermion masses and mixing is obtained with the same U(1) charges for the left- and right- handed quarks of the first two families and the right-handed bottom quark, and with zero charge for the left-handed top-bottom doublet and the the right handed top. The model shows an interesting indirect correlation between the correct prediction for the V{sub ub}/V{sub cb} ratio and large right-handed rotations in the (s,b) sector, required to diagonalise the Yukawa matrix. For the squarks, one obtains almost degenerate first two generations. The main source of the FCNC and CP violation effects is the splitting between the first two families and the right-handed sbottom determined by the relative size of F-term and D-term supersymmetry breaking. The presence of the large right-handed rotation implies that the bounds on the masses of the first two families of squarks and the right handed sbottom are in a few to a few tens TeV range. The picture that emerges is light stops and left handed sbottom and much heavier other squarks.

  3. Chiral Gauge Dynamics and Dynamical Supersymmetry Breaking

    Energy Technology Data Exchange (ETDEWEB)

    Poppitz, Erich; /Toronto U.; Unsal, Mithat; /SLAC /Stanford U.

    2009-05-07

    We study the dynamics of a chiral SU(2) gauge theory with a Weyl fermion in the I = 3/2 representation and of its supersymmetric generalization. In the former, we find a new and exotic mechanism of confinement, induced by topological excitations that we refer to as magnetic quintets. The supersymmetric version was examined earlier in the context of dynamical supersymmetry breaking by Intriligator, Seiberg, and Shenker, who showed that if this gauge theory confines at the origin of moduli space, one may break supersymmetry by adding a tree level superpotential. We examine the dynamics by deforming the theory on S{sup 1} x R{sup 3}, and show that the infrared behavior of this theory is an interacting CFT at small S{sup 1}. We argue that this continues to hold at large S{sup 1}, and if so, that supersymmetry must remain unbroken. Our methods also provide the microscopic origin of various superpotentials in SQCD on S{sup 1} x R{sup 3}--which were previously obtained by using symmetry and holomorphy--and resolve a long standing interpretational puzzle concerning a flux operator discovered by Affleck, Harvey, and Witten. It is generated by a topological excitation, a 'magnetic bion', whose stability is due to fermion pair exchange between its constituents. We also briefly comment on composite monopole operators as leading effects in two dimensional antiferromagnets.

  4. Metastable Supersymmetry Breaking and Minimal Gauge Mediation on Branes

    CERN Document Server

    Halyo, Edi

    2010-01-01

    We construct a model with D5 branes wrapped on a deformed and resolved $A_6$ singularity which realizes metastable supersymmetry breaking and minimal gauge mediation. Supersymmetry is broken at tree level by the F--term of singlet which also obtains a VEV as required in gauge mediation. Three nodes of the singularity are used to break supersymmetry whereas the other three realize gauge mediation. The supersymmetry breaking scale is suppressed due to brane instanton effects which are computed using a geometric transition.

  5. Supersymmetry, Cosmological Constant and Inflation: Towards a fundamental cosmic picture via "running vacuum"

    CERN Document Server

    Mavromatos, Nick E

    2016-01-01

    On the occasion of a century from the proposal of General relativity by Einstein, I attempt to tackle some open issues in modern cosmology, via a toy but non-trivial model. Specifically, I would like to link together: (i) the smallness of the cosmological constant today, (ii) the evolution of the universe from an inflationary era after the big-bang till now, and (iii) local supersymmetry in the gravitational sector (supergravity) with a broken spectrum at early eras, by making use of the concept of the "running vacuum" in the context of a simple toy model of four-dimensional N=1 supergravity. The model is characterised by dynamically broken local supersymmetry, induced by the formation of gravitino condensates in the early universe. As I will argue, there is a Starobinsky-type inflationary era characterising the broken supersymmetry phase in this model, which is compatible with the current cosmological data, provided a given constraint is satisfied among some tree-level parameters of the model and the renorma...

  6. Mechanisms of supersymmetry breaking in the minimal supersymmetric standard model

    Indian Academy of Sciences (India)

    Probir Roy

    2003-02-01

    We provide a bird’s eyeview of current ideas on supersymmetry breaking mechanisms in the MSSM. The essentials of gauge, gravity, anomaly and gaugino/higgsino mediation mechanisms are covered briefly and the phenomenology of the associated models is touched upon. A few statement are also made on braneworld supersymmetry breaking.

  7. Mediation of Supersymmetry Breaking via Anti-Generation Fields

    CERN Document Server

    Ito, M

    2000-01-01

    In the context of the weakly coupled heterotic string, we propose a new model of mediating supersymmetry breaking. The breakdown of supersymmetry in the hidden sector is transmitted to anti-generation fields via gravitational interactions. Subsequent transmission of the breaking to the MSSM sector occurs via gauge interactions. It is shown that the mass spectra of superparticles are phenomenologically viable.

  8. Constrained Superfields and Standard Realization of Nonlinear Supersymmetry

    CERN Document Server

    Luo, Hui; Zheng, Sibo

    2009-01-01

    A constrained superfield formalism has been proposed recently to analyze the low energy physics related to Goldstinos. We prove that this formalism can be reformulated in the language of standard realization of nonlinear supersymmetry. New relations have been uncovered in the standard realization of nonlinear supersymmetry.

  9. Erice lectures on "The status of local supersymmetry"

    OpenAIRE

    Duff, M.J.

    2004-01-01

    In the first lecture we review the current status of local supersymmetry. In the second lecture we focus on D=11 supergravity as the low-energy limit of M-theory and pose the questions: (1) What are the D=11 symmetries? (2) How many supersymmetries can M-theory vacua preserve?

  10. Search for electroweak production of supersymmetry at CMS

    CERN Document Server

    Liu, Miaoyuan

    2017-01-01

    We report on searches for supersymmetry via pair production of partners of electroweak gauge and Higgs bosons. The searches use proton-proton collision data recorded in 2016 by the CMS experiment at the LHC. The results are interpreted in terms of several simplified models of supersymmetry.

  11. Connection Formulae for Asymptotics of Solutions of the Degenerate Third Painleve' Equation: II

    CERN Document Server

    Kitaev, A V

    2010-01-01

    The degenerate third Painleve' equation, $u"(t)=(u'(t))^2/u(t)-u'(t)/t+1/t(-8c u^2(t)+2ab)+b^2/u(t)$, where $c=+/-1$, $b>0$, and $a$ is a complex parameter, is studied via the Isomonodromy Deformation Method. Asymptotics of general regular and singular solutions $u(t)$ as $t -> +/-\\infty$ and $t -> +/-i\\infty$ are derived and parametrized in terms of the monodromy data of the associated 2X2 linear auxiliary problem introduced in the first part of this work [1]. Using these results, three-real-parameter families of solutions that have infinite sequences of zeroes and poles that are asymptotically located along the real and imaginary axes are distinguished: asymptotics of these zeroes and poles are also obtained.

  12. On the discrete and continuous Miura Chain associated with the Sixth Painlevé Equation

    CERN Document Server

    Nijhoff, F W; Hone, A

    1999-01-01

    A Miura chain is a (closed) sequence of differential (or difference) equations that are related by Miura or Bäcklund transformations. We describe such a chain for the sixth Painlevé equation (\\pvi), containing, apart from ordinary differential equation (ODE). As a byproduct we derive an auto-Bäcklund transformation, relating two copies of \\pvi with different parameters. We also establish the analogous ordinary difference equations in the discrete counterpart of the chain. Such difference equations govern iterations of solutions of \\pvi under Bäcklund transformations. Both discrete and continuous equations constitute a larger system which include partial difference equations, differential-difference equations and partial differential equations, all associated with the lattice Korteweg-de Vries equation subject to similarity constraints.

  13. Quantum Baxter-Belavin R-matrices and multidimensional lax pairs for Painlevé VI

    Science.gov (United States)

    Levin, A. M.; Olshanetsky, M. A.; Zotov, A. V.

    2015-07-01

    Quantum elliptic R-matrices satisfy the associative Yang-Baxter equation in Mat( N)⊗2, which can be regarded as a noncommutative analogue of the Fay identity for the scalar Kronecker function. We present a broader list of R-matrix-valued identities for elliptic functions. In particular, we propose an analogue of the Fay identities in Mat( N)⊗2. As an application, we use the ℤ N ×ℤ N elliptic R-matrix to construct R-matrix-valued 2 N 2×2 N 2 Lax pairs for the Painlevé VI equation (in the elliptic form) with four free constants. More precisely, the case with four free constants corresponds to odd N, and even N corresponds to the case with a single constant in the equation.

  14. Solutions to the Painlevé V equation through supersymmetric quantum mechanics

    Science.gov (United States)

    Bermudez, David; Fernández C, David J.; Negro, Javier

    2016-08-01

    In this paper we shall use the algebraic method known as supersymmetric quantum mechanics (SUSY QM) to obtain solutions to the Painlevé V (PV) equation, a second-order nonlinear ordinary differential equation. For this purpose, we will apply first the SUSY QM treatment to the radial oscillator. In addition, we will revisit the polynomial Heisenberg algebras (PHAs) and we will study the general systems ruled by them: for first-order PHAs we obtain the radial oscillator while for third-order PHAs the potential will be determined by solutions to the PV equation. This connection allows us to introduce a simple technique for generating solutions of the PV equation expressed in terms of confluent hypergeometric functions. Finally, we will classify them into several solution hierarchies.

  15. Form factor expansions in the 2D Ising model and Painleve VI

    Energy Technology Data Exchange (ETDEWEB)

    Mangazeev, Vladimir V., E-mail: Vladimir.Mangazeev@anu.edu.a [Department of Theoretical Physics, Research School of Physics and Engineering, Australian National University, Canberra, ACT 0200 (Australia); Guttmann, Anthony J., E-mail: tonyg@ms.unimelb.edu.a [ARC Centre of Excellence for Mathematics and Statistics of Complex Systems, Department of Mathematics and Statistics, The University of Melbourne, Victoria 3010 (Australia)

    2010-10-21

    We derive a Toda-type recurrence relation, in both high- and low-temperature regimes, for the {lambda}-extended diagonal correlation functions C(N,N;{lambda}) of the two-dimensional Ising model, using an earlier connection between diagonal form factor expansions and tau-functions within Painleve VI (PVI) theory, originally discovered by Jimbo and Miwa. This greatly simplifies the calculation of the diagonal correlation functions, particularly their {lambda}-extended counterparts. We also conjecture a closed form expression for the simplest off-diagonal case C{sup {+-}}(0,1;{lambda}) where a connection to PVI theory is not known. Combined with the results for diagonal correlations these give all the initial conditions required for the {lambda}-extended version of quadratic difference equations for the correlation functions discovered by McCoy, Perk and Wu. The results obtained here should provide a further potential algorithmic improvement in the {lambda}-extended case, and facilitate other developments.

  16. Experimental Status of Supersymmetry after the LHC Run-I

    CERN Document Server

    Autermann, Christian

    2016-01-01

    The ATLAS and CMS experiments at the Large Hadron Collider (LHC) at CERN have searched for signals of new physics, in particular for supersymmetry. The data collected until 2012 at center-of-mass energies of 7 and 8 TeV and integrated luminosities of 5 fb^-1 and 20 fb^-1, respectively, agree with the expectation from standard model processes. Constraints on supersymmetry have been calculated and interpreted in different models. Limits on supersymmetry particle masses at the TeV scale have been derived and interpreted generally in the context of simplified model spectra. The constrained minimal supersymmetric standard model is disfavored by the experimental results. Natural supersymmetry scenarios with low supersymmetry particle masses remain possible in multiple regions, for example in those with compressed spectra, that are difficult to access experimentally. The upgraded LHC operating at 13 TeV is gaining sensitivity to the remaining unexplored SUSY parameter space.

  17. Experimental status of supersymmetry after the LHC Run-I

    Science.gov (United States)

    Autermann, Christian

    2016-09-01

    The ATLAS and CMS experiments at the Large Hadron Collider (LHC) at CERN have searched for signals of new physics, in particular for supersymmetry. The data collected until 2012 at center-of-mass energies of 7 and 8 TeV and integrated luminosities of 5 fb-1 and 20 fb-1, respectively, agree with the expectation from standard model processes. Constraints on supersymmetry have been calculated and interpreted in different models. Limits on supersymmetry particle masses at the TeV scale have been derived and interpreted generally in the context of simplified model spectra. The constrained minimal supersymmetric standard model is disfavored by the experimental results. Natural supersymmetry scenarios with low supersymmetry particle masses remain possible in multiple regions, for example in those with compressed spectra, that are difficult to access experimentally. The upgraded LHC operating at √{ s } = 13 TeV is gaining sensitivity to the remaining unexplored SUSY parameter space.

  18. Mediation of supersymmetry breaking in extra dimensions

    CERN Document Server

    Scrucca, C A

    2004-01-01

    I review the mechanisms of supersymmetry breaking mediation that occur in sequestered models, where the visible and the hidden sectors are separated by an extra dimension and communicate only via gravitational interactions. By locality, soft breaking terms are forbidden at the classical level and reliably computable within an effective field theory approach at the quantum level. I present a self-contained discussion of these radiative gravitational effects and the resulting pattern of soft masses, and give an overview of realistic model building based on this set-up. I consider both flat and warped extra dimensions, as well as the possibility that there be localized kinetic terms for the gravitational fields.

  19. Searches for Supersymmetry with the ATLAS Experiment

    CERN Document Server

    Lee, Lawrence; The ATLAS collaboration

    2017-01-01

    Despite the absence of experimental evidence, weak scale supersymmetry remains one of the best motivated and studied Standard Model extensions. This talk summarises recent ATLAS results for searches for supersymmetric (SUSY) particles. Weak and strong production in both R-Parity conserving and R-Parity violating SUSY scenarios are considered. The searches used proton-proton collisions at sqrt{s} = 13 TeV, and involved final states including jets, missing transverse momentum, light leptons as well as long-lived particle signatures.

  20. Tree Level Mediation of Supersymmetry Breaking

    Energy Technology Data Exchange (ETDEWEB)

    Nardecchia, Marco, E-mail: marco.nardecchia@sissa.it [SISSA/ISAS and INFN, I-34013 Trieste (Italy)

    2010-11-01

    We propose a new scheme in which supersymmetry breaking is communicated to the MSSM sfermions by GUT gauge interactions at the tree level. The (positive) contribution of MSSM fields to Str(M{sup 2}) is automatically compensated by a (negative) contribution from heavy fields. Sfermion masses are flavour universal, thus solving the supersymmetric flavour problem. In the simplest SO(10) embedding, the ratio of different sfermion masses is predicted and differs from mSugra and other schemes, thus making this framework testable at the LHC. Gaugino masses are generated at the loop level but enhanced by model dependent factors.

  1. Focus point supersymmetry in extended gauge mediation

    Energy Technology Data Exchange (ETDEWEB)

    Ding, Ran [School of Physics, Nankai University,Tianjin 300071 (China); Li, Tianjun [State Key Laboratory of Theoretical Physics and Kavli Institute for Theoretical Physics (KITPC),Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190 (China); School of Physical Electronics, University of Electronic Science and Technology of China,Chengdu 610054 (China); Staub, Florian [Bethe Center for Theoretical Physics & Physikalisches Institut der Universität Bonn,Nußallee 12, 53115 Bonn (Germany); Zhu, Bin [School of Physics, Nankai University,Tianjin 300071 (China)

    2014-03-27

    We propose a small extension of the minimal gauge mediation through the combination of extended gauge mediation and conformal sequestering. We show that the focus point supersymmetry can be realized naturally, and the fine tuning is significantly reduced compared to the minimal gauge mediation and extended gauge mediation without focus point. The Higgs boson mass is around 125 GeV, the gauginos remain light, and the gluino is likely to be detected at the next run of the LHC. However, the multi-TeV squarks is out of the reach of the LHC. The numerical calculation for fine-tuning shows that this model remains natural.

  2. Supersymmetry in Lorentzian Curved Spaces and Holography

    CERN Document Server

    Cassani, Davide; Martelli, Dario; Tomasiello, Alessandro; Zaffaroni, Alberto

    2012-01-01

    We consider superconformal and supersymmetric field theories on four-dimensional Lorentzian curved space-times, and their five-dimensional holographic duals. As in the Euclidean signature case, preserved supersymmetry for a superconformal theory is equivalent to the existence of a charged conformal Killing spinor. Differently from the Euclidean case, we show that the existence of such spinors is equivalent to the existence of a null conformal Killing vector. For a supersymmetric field theory with an R-symmetry, this vector field is further restricted to be Killing. We demonstrate how these results agree with the existing classification of supersymmetric solutions of minimal gauged supergravity in five dimensions.

  3. Search for Supersymmetry at the LHC

    CERN Document Server

    Autermann, Christian

    2016-01-01

    Searches for supersymmetry at the ATLAS and CMS experiments are discussed. The analyzed data were recorded at the Large Hadron Collider in 2015 at a center of mass energy of 13 TeV and correspond to an integrated luminosity of up to 3 fb$^{-1}$ per experiment. No physics beyond the standard model has been observed. Different inclusive and specialized analysis strategies targeting various signal scenarios are introduced. The analysis sensitivities are summarized as exclusion contours for different simplified signal model spectra and compared to the previous 8 TeV results.

  4. Electroweak Supersymmetry (EWSUSY) in the NMSSM

    OpenAIRE

    Cheng, Taoli; Li, Tianjun

    2013-01-01

    To explain all the available experimental results, we have proposed the Electroweak Supersymmetry (EWSUSY) previously, where the squarks and/or gluino are heavy around a few TeVs while the sleptons, sneutrinos, Bino, Winos, and/or Higgsinos are light within one TeV. In the Next to Minimal Supersymmetric Standard Model (NMSSM), we perform the systematic \\chi^2 analyses on parameter space scan for three EWSUSY scenarios: (I) R-parity conservation and one dark matter candidate; (II) R-parity con...

  5. Living Dangerously with Low-Energy Supersymmetry

    CERN Document Server

    Giudice, Gian Francesco

    2006-01-01

    We stress that the lack of direct evidence for supersymmetry forces the soft mass parameters to lie very close to the critical line separating the broken and unbroken phases of the electroweak gauge symmetry. We argue that the level of criticality, or fine-tuning, that is needed to escape the present collider bounds can be quantitatively accounted for by assuming that the overall scale of the soft terms is an environmental quantity. Under fairly general assumptions, vacuum-selection considerations force a little hierarchy in the ratio between m_Z^2 and the supersymmetric particle square masses, with a most probable value equal to a one-loop factor.

  6. Spontaneous supersymmetry breaking on the lattice

    Energy Technology Data Exchange (ETDEWEB)

    Wenger, Urs [Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, CH-3012 Bern (Switzerland)

    2013-07-01

    We discuss various strategies for regularising supersymmetric quantum field theories on a space-time lattice. In general, simulations of lattice models with spontaneously broken supersymmetry suffer from a fermion sign problem related to the vanishing of the Witten index. We discuss a novel approach which evades this problem in low dimensions by formulating the path integral on the lattice in terms of fermion loops. Then we present exact results on the spectrum and the Witten index for N=2 supersymmetric quantum mechanics and results from simulations of the spontaneously broken N=1 Wess-Zumino model.

  7. Finding the Higgs Boson through Supersymmetry

    CERN Document Server

    De Campos, F; Magro, M B; Restrepo, D; Valle, J W F

    2008-01-01

    The study of displaced vertices containing two b--jets may provide a double discovery at the Large Hadron Collider (LHC): we show how it may not only reveal evidence for supersymmetry, but also provide a way to uncover the Higgs boson necessary in the formulation of the electroweak theory in a large region of the parameter space. We quantify this explicitly using the simplest minimal supergravity model with bilinear breaking of R-parity, which accounts for the observed pattern of neutrino masses and mixings seen in neutrino oscillation experiments.

  8. Maximal supersymmetry and B-mode targets

    Science.gov (United States)

    Kallosh, Renata; Linde, Andrei; Wrase, Timm; Yamada, Yusuke

    2017-04-01

    Extending the work of Ferrara and one of the authors [1], we present dynamical cosmological models of α-attractors with plateau potentials for 3 α = 1, 2, 3, 4, 5, 6, 7. These models are motivated by geometric properties of maximally supersymmetric theories: M-theory, superstring theory, and maximal N = 8 supergravity. After a consistent truncation of maximal to minimal supersymmetry in a seven-disk geometry, we perform a two-step procedure: 1) we introduce a superpotential, which stabilizes the moduli of the seven-disk geometry in a supersymmetric minimum, 2) we add a cosmological sector with a nilpotent stabilizer, which breaks supersymmetry spontaneously and leads to a desirable class of cosmological attractor models. These models with n s consistent with observational data, and with tensor-to-scalar ratio r ≈ 10-2 - 10-3, provide natural targets for future B-mode searches. We relate the issue of stability of inflationary trajectories in these models to tessellations of a hyperbolic geometry.

  9. Supersymmetry on curved spaces and superconformal anomalies

    CERN Document Server

    Cassani, Davide

    2013-01-01

    We study the consequences of unbroken rigid supersymmetry of four-dimensional field theories placed on curved manifolds. We show that in Lorentzian signature the background vector field coupling to the R-current is determined by the Weyl tensor of the background metric. In Euclidean signature, the same holds if two supercharges of opposite R-charge are preserved, otherwise the (anti-)self-dual part of the vector field-strength is fixed by the Weyl tensor. As a result of this relation, the trace and R-current anomalies of superconformal field theories simplify, with the trace anomaly becoming purely topological. In particular, in Lorentzian signature, or in the presence of two Euclidean supercharges of opposite R-charge, supersymmetry of the background implies that the term proportional to the central charge c vanishes, both in the trace and R-current anomalies. This is equivalent to the vanishing of a superspace Weyl invariant. We comment on the implications of our results for holography.

  10. Differential Poisson Sigma Models with Extended Supersymmetry

    CERN Document Server

    Arias, Cesar; Torres-Gomez, Alexander

    2016-01-01

    The induced two-dimensional topological N=1 supersymmetric sigma model on a differential Poisson manifold M presented in arXiv:1503.05625 is shown to be a special case of the induced Poisson sigma model on the bi-graded supermanifold T[0,1]M. The bi-degree comprises the standard N-valued target space degree, corresponding to the form degree on the worldsheet, and an additional Z-valued fermion number, corresponding to the degree in the differential graded algebra of forms on M. The N=1 supersymmetry stems from the compatibility between the (extended) differential Poisson bracket and the de Rham differential on M. The latter is mapped to a nilpotent vector field Q of bi-degree (0,1) on T*[1,0](T[0,1]M), and the covariant Hamiltonian action is Q-exact. New extended supersymmetries arise as inner derivatives along special bosonic Killing vectors on M that induce Killing supervector fields of bi-degree (0,-1) on T*[1,0](T[0,1]M).

  11. Large-field inflation and supersymmetry breaking

    Energy Technology Data Exchange (ETDEWEB)

    Buchmueller, Wilfried; Wieck, Clemens [Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany); Dudas, Emilian; Heurtier, Lucien [Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany); Ecole Polytechnique, Palaiseau (France). CPht

    2014-07-15

    Large-field inflation is an interesting and predictive scenario. Its non-trivial embedding in supergravity was intensively studied in the recent literature, whereas its interplay with supersymmetry breaking has been less thoroughly investigated. We consider the minimal viable model of chaotic inflation in supergravity containing a stabilizer field, and add a Polonyi field. Furthermore, we study two possible extensions of the minimal setup. We show that there are various constraints: first of all, it is very hard to couple an O'Raifeartaigh sector with the inflaton sector, the simplest viable option being to couple them only through gravity. Second, even in the simplest model the gravitino mass is bounded from above parametrically by the inflaton mass. Therefore, high-scale supersymmetry breaking is hard to implement in a chaotic inflation setup. As a separate comment we analyze the simplest chaotic inflation construction without a stabilizer field, together with a supersymmetrically stabilized Kaehler modulus. Without a modulus, the potential of such a model is unbounded from below. We show that a heavy modulus cannot solve this problem.

  12. Supersymmetry searches in ATLAS at the LHC

    CERN Document Server

    Romero Adam, Elena; Bernabeu Alberola, Jose

    This Thesis presents two different SUSY searches in strong production using ATLAS data. The first analysis presented, searches for Supersymmetry in final states containing seven or more jets (multijets), one isolated lepton (electron or muon) and missing transverse energy (ETmiss). The search is based on data from the full 2011 data-taking period, corresponding to an integrated luminosity of 4.7/fb and a centre-of-mass energy sqrt(s) = 7 TeV. The results of this analysis are interpreted in the context of a bilinear R-parity violating (bRPV) mSUGRA/CMSSM model. The second analysis is a search for Supersymmetry in final states characterised by a Z boson that decays to an electron or a muon pair, large ETmiss and jets. The proton-proton collision data used in this search were collected at a centre-of-mass energy sqrt(s) = 8 TeV by the ATLAS detector at the LHC and correspond to an integrated luminosity of 20.3/fb. The results are interpreted in the context of a GGM supersymmetric model.

  13. Kinematic Dynamo, Supersymmetry Breaking, and Chaos

    CERN Document Server

    Ovchinnikov, Igor V

    2015-01-01

    The kinematic dynamo (KD) describes the growth of magnetic fields generated by the flow of a conducting medium in the limit of vanishing backaction of the fields onto the flow. The KD is therefore an important model system for understanding astrophysical magnetism. Here, the mathematical correspondence between the KD and a specific stochastic differential equation (SDE) viewed from the perspective of the supersymmetric theory of stochastics (STS) is discussed. The STS is a novel, approximation-free framework to investigate SDEs. The correspondence reported here permits insights from the STS to be applied to the theory of KD and vice versa. It was previously known that the fast KD in the idealistic limit of no magnetic diffusion requires chaotic flows. The KD-STS correspondence shows that this is also true for the diffusive KD. From the STS perspective, the KD possesses a topological supersymmetry and the dynamo effect can be viewed as its spontaneous breakdown. This supersymmetry breaking can be regarded as t...

  14. D-branes, Supersymmetry Breaking, and Neutrinos

    CERN Document Server

    Seo, Jihye

    2010-01-01

    This thesis studies meta- and exactly stable supersymmetry breaking mechanisms in heterotic and type IIB string theories and constructs an F-theory Grand Unified Theory model for neutrino physics in which neutrino mass is determined by the supersymmetry breaking mechanism. Focussing attention on heterotic string theory compactified on a 4-torus, stability of non-supersymmetric states is studied. A non-supersymmetric state with robust stability is constructed, and its exact stability is proven in a large region of moduli space of T^4 against all the possible decay mechanisms allowed by charge conservation. Using string-string duality, the results are interpreted in terms of Dirichlet-branes in type IIA string theory compactified on an orbifold limit of a K3 surface. In type IIB string theory, metastable and exactly stable non-supersymmetric systems are constructed using D-branes and Calabi-Yau geometry. Branes and anti-branes wrap rigid and separate 2-spheres inside a non-compact Calabi-Yau three-fold: supersy...

  15. Type 1 2HDM as Effective Theory of Supersymmetry

    Institute of Scientific and Technical Information of China (English)

    邵华

    2012-01-01

    It is generally believed that the low energy effective theory of the minimal supersymmetric standard model is the type 2 two Higgs doublet model. We will show that the type 1 two Higge doublet model can also be as the effective of supersymmetry in a specific ease with high scale supersymmetry breaking and gauge mediation. If the other electroweak doublet obtain the vacuum expectation value after the electroweak symmetry breaking, the Higgs spectrum is quite different. A remarkable feature is that the physical Higgs boson mass can be 125 GeV unlike in the ordinary models with high scale supersymmetry in which the Higgs mass is generally around 140 GeV.

  16. Octonionic Realizations of 1-dimensional Extended Supersymmetries. A Classification

    CERN Document Server

    Carrion, H L; Toppan, F

    2003-01-01

    The classification of the octonionic realizations of the one-dimensional extended supersymmetries is here furnished. These are non-associative realizations which, albeit inequivalent, are put in correspondence with a subclass of the already classified associative representations for 1D extended supersymmetries. Examples of dynamical systems invariant under octonionic realizations of the extended supersymmetries are given. We cite among the others the octonionic spinning particles, the N=8 KdV, etc. Possible applications to supersymmetric systems arising from dimensional reduction of the octonionic superstring and M-theory are mentioned.

  17. Octonionic realizations of 1-dimensional extended supersymmetries. A classification

    Energy Technology Data Exchange (ETDEWEB)

    Carrion, H.L.; Rojas, M.; Toppan, F. [Centro Brasileiro de Pesquisas Fisicas (CBPF), Rio de Janeiro, RJ (Brazil). Coordenacao de Teoria de Campos e Particulas]. E-mail: hleny@cbpf.br; mrojas@cbpf.br; toppan@cbpf.br

    2002-12-01

    The classification of the octonionic realizations of the one-dimensional extended supersymmetries is here furnished. These are non-associative realizations which, albeit inequivalent, are put in correspondence with a subclass of the already classified associative representations for 1D extended supersymmetries. Examples of dynamical systems invariant under octonionic realizations of the extended supersymmetries are given. We cite among the others the octonionic spinning particles, the N = 8 KdV, etc. Possible applications to supersymmetric systems arising from dimensional reduction of the octonionic superstring and M-theory are mentioned. (author)

  18. Unified models of the QCD axion and supersymmetry breaking

    Directory of Open Access Journals (Sweden)

    Keisuke Harigaya

    2017-08-01

    Full Text Available Similarities between the gauge meditation of supersymmetry breaking and the QCD axion model suggest that they originate from the same dynamics. We present a class of models where supersymmetry and the Peccei–Quinn symmetry are simultaneously broken. The messengers that mediate the effects of these symmetry breakings to the Standard Model are identical. Since the axion resides in the supersymmetry breaking sector, the saxion and the axino are heavy. We show constraints on the axion decay constant and the gravitino mass.

  19. Natural Supersymmetry and Unification in Five Dimensions

    CERN Document Server

    Abdalgabar, Ammar; Deandrea, Aldo; McGarrie, Moritz

    2015-01-01

    We explore unification and natural supersymmetry in a five dimensional extension of the standard model in which the extra dimension may be large, of the order of 1-10 TeV. Power law running generates a TeV scale A_ term allowing for the observed 125 GeV Higgs and allowing for stop masses below 2 TeV, compatible with a natural SUSY spectrum. We supply the full one-loop RGEs for various models and use metastability to give a prediction that the gluino mass should be lighter than 3.5 TeV for A_t <= 2.5 TeV, for such a compactification scale, with brane localised 3rd generation matter. We discuss why models in which the 1st and 2nd generation of matter fields are located in the bulk are likely to be ruled out. We also look at electroweak symmetry breaking in these models.

  20. Supersymmetry in 6d Dirac Action

    CERN Document Server

    Fujimoto, Yukihiro; Nishiwaki, Kenji; Sakamoto, Makoto; Tatsumi, Kentaro

    2016-01-01

    We investigate a 6d Dirac fermion on a rectangle. It is found that the 4d spectrum is governed by $N = 2$ supersymmetric quantum mechanics. Then we demonstrate that the supersymmetry is very useful to classify all allowed boundary conditions and to expand the 6d Dirac field in Kaluza-Klein modes. A striking feature of the model is that even though the 6d Dirac fermion has non-vanishing bulk mass, the 4d mass spectrum can contain degenerate massless chiral fermions, which may provide a hint to solve the generation problem of the quarks and leptons. It is pointed out that zero energy solutions are not affected by the presence of the boundaries, while the boundary conditions work well for determining the positive energy solutions.

  1. Missing Energy and Jets for Supersymmetry Searches

    CERN Document Server

    Bern, Z; Dixon, L J; Cordero, F Febres; Hoeche, S; Ita, H; Kosower, D A; Maitre, D; Ozeren, K J

    2013-01-01

    We extend our investigation of backgrounds to new physics signals, following CMS's data-driven search for supersymmetry at the LHC. The aim is to use different sets of cuts in gamma + 3-jet production to predict the irreducible Z + 3-jet background (with the Z boson decaying to neutrinos) to searches with missing transverse energy + 3-jet signal topologies. We compute ratios of Z + 3-jet to gamma + 3-jet production cross sections and kinematic distributions at next-to-leading order (NLO) in alpha_s. We compare these ratios with those obtained using a parton shower matched to leading-order matrix elements (ME+PS). This study extends our previous work [arXiv:1106.1423 [hep-ph

  2. Gauged flavor, supersymmetry and grand unification

    Science.gov (United States)

    Mohapatra, Rabindra N.

    2012-07-01

    I review a recent work on gauged flavor with left-right symmetry, where all masses and all Yukawa couplings owe their origin to spontaneous flavor symmetry breaking. This is suggested as a precursor to a full understanding of flavor of quarks and leptons. An essential ingredient of this approach is the existence of heavy vector-like fermions, which is the home of flavor, which subsequently gets transmitted to the familiar quarks and leptons via the seesaw mechanism. I then discuss implications of extending this idea to include supersymmetry and finally speculate on a possible grand unified model based on the gauge group SU(5)L×SU(5)R which provides a group theoretic origin for the vector-like fermions.

  3. Gauged Flavor, Supersymmetry and Grand Unification

    CERN Document Server

    Mohapatra, Rabindra N

    2012-01-01

    I review a recent work on gauged flavor with left-right symmetry, where all masses and all Yukawa couplings owe their origin to spontaneous flavor symmetry breaking. This is suggested as a precursor to a full understanding of flavor of quarks and leptons. An essential ingredient of this approach is the existence of heavy vector-like fermions, which is the home of flavor, which subsequently gets transmitted to the familiar quarks and leptons via the seesaw mechanism. I then discuss implications of extending this idea to include supersymmetry and finally speculate on a possible grand unified model based on the gauge group $SU(5)_L\\times SU(5)_R$ which provides a group theoretic origin for the vector-like fermions.

  4. Physics Beyond the Standard Model: Supersymmetry

    Energy Technology Data Exchange (ETDEWEB)

    Nojiri, M.M.; /KEK, Tsukuba /Tsukuba, Graduate U. Adv. Studies /Tokyo U.; Plehn, T.; /Edinburgh U.; Polesello, G.; /INFN, Pavia; Alexander, John M.; /Edinburgh U.; Allanach, B.C.; /Cambridge U.; Barr, Alan J.; /Oxford U.; Benakli, K.; /Paris U., VI-VII; Boudjema, F.; /Annecy, LAPTH; Freitas, A.; /Zurich U.; Gwenlan, C.; /University Coll. London; Jager, S.; /CERN /LPSC, Grenoble

    2008-02-01

    This collection of studies on new physics at the LHC constitutes the report of the supersymmetry working group at the Workshop 'Physics at TeV Colliders', Les Houches, France, 2007. They cover the wide spectrum of phenomenology in the LHC era, from alternative models and signatures to the extraction of relevant observables, the study of the MSSM parameter space and finally to the interplay of LHC observations with additional data expected on a similar time scale. The special feature of this collection is that while not each of the studies is explicitly performed together by theoretical and experimental LHC physicists, all of them were inspired by and discussed in this particular environment.

  5. Gravitino condensation, supersymmetry breaking and inflation

    CERN Document Server

    Houston, N

    2015-01-01

    Motivated by dualistic considerations of the reality of quark condensation in quantum chromodynamics, and the connections of supergravity to the exotic physics of string and M-theory, in this thesis we investigate the dynamical breaking of local supersymmetry via gravitino condensation. We firstly demonstrate non-perturbative gravitino mass generation via this mechanism in flat spacetime, and from this derive the condensate mode wavefunction renormalisation. By then calculating the full canonically normalised one-loop effective potential for the condensate mode about a de Sitter background, we demonstrate that, contrary to claims in the literature, this process may both occur and function in a phenomenologically viable manner. In particular, we find that outside of certain unfortunate gauge choices, the stability of the condensate is intimately tied via gravitational degrees of freedom to the sign of the tree-level cosmological constant. Furthermore, we find that the energy density liberated may provide the n...

  6. Born-Infeld action and Supersymmetry

    CERN Document Server

    Silva, G A

    2000-01-01

    In the thesis we analize different problems related to the supersymmetric extension of the Dirac-Born-Infeld action. In chapter 2 we introduce the DBI action and show how it appears in string theory, we discuss also it's connection with Dp-branes. Chapter 3 is a self contained introduction to supersymmetry, with emphasis on BPS states. In chapter 4 we construct the N=2 supersymmetric extension of the Born-Infeld-Higgs in three space-time dimensions and discuss it's BPS states and Bogomol'nyi bounds. In chapter 5 we construct the N=1 supersymmetric extension of the non-abelian Born-Infeld theory in four space-time dimensions. Chapter 6 deals with the analisis of BPS and non-BPS solutions of the Dirac-Born-Infeld action and their interpretation in superstring theory. Chapter 7 is devoted to the conclusions. Three appendix complete the work.

  7. Nonlinear (Super)Symmetries and Amplitudes

    CERN Document Server

    Kallosh, Renata

    2016-01-01

    There is an increasing interest in nonlinear supersymmetries in cosmological model building. Independently, elegant expressions for the all-tree amplitudes in models with nonlinear symmetries, like D3 brane Dirac-Born-Infeld-Volkov-Akulov theory, were recently discovered. Using the generalized background field method we show how, in general, nonlinear symmetries of the action, bosonic and fermionic, constrain amplitudes beyond soft limits. The same identities control, for example, bosonic E_{7(7)} scalar sector symmetries as well as the fermionic goldstino symmetries. We present a universal derivation of the vanishing amplitudes in the single (bosonic or fermionic) soft limit. We explain why, universally, the double-soft limit probes the coset space algebra. We also provide identities describing the multiple-soft limit. We discuss loop corrections to N\\geq 5 supergravity, to the D3 brane, and the UV completion of constrained multiplets in string theory.

  8. Supersymmetry, Naturalness, and Signatures at the LHC

    Energy Technology Data Exchange (ETDEWEB)

    Kitano, Ryuichiro; Nomura, Yasunori

    2006-02-21

    Weak scale supersymmetry is often said to be fine-tuned, especially if the matter content is minimal. This is not true if there is a large {Alpha} term for the top squarks. We present a systematic study on fine-tuning in minimal supersymmetric theories and identify low energy spectra that do not lead to severe .ne-tuning. Characteristic features of these spectra are: a large {Alpha} term for the top squarks, small top squark masses, moderately large tan {beta}, and a small {mu} parameter. There are classes of theories leading to these features, which are discussed. In one class, which allows a complete elimination of fine-tuning, the Higgsinos are the lightest among all the superpartners of the standard model particles, leading to three nearly degenerate neutralino/chargino states. This gives interesting signals at the LHC--the dilepton invariant mass distribution has a very small endpoint and shows a particular shape determined by the Higgsino nature of the two lightest neutralinos. We demonstrate that these signals are indeed useful in realistic analyses by performing Monte Carlo simulations, including detector simulations and background estimations. We also present a method that allows the determination of all the relevant superparticle masses without using input from particular models, despite the limited kinematical information due to short cascades. This allows us to test various possible models, which is demonstrated in the case of a model with mixed moduli-anomaly mediation. We also give a simple derivation of special renormalization group properties associated with moduli mediated supersymmetry breaking, which are relevant in a model without fine-tuning.

  9. Supersymmetry, Naturalness, and Signatures at the LHC

    Energy Technology Data Exchange (ETDEWEB)

    Kitano, Ryuichiro; Nomura, Yasunori

    2006-02-10

    Weak scale supersymmetry is often said to be fine-tuned, especially if the matter content is minimal. This is not true if there is a large A term for the top squarks. We present a systematic study on fine-tuning in minimal supersymmetric theories and identify low energy spectra that do not lead to severe fine-tuning. Characteristic features of these spectra are: a large A term for the top squarks, small top squark masses, moderately large tan {beta}, and a small {mu} parameter. There are classes of theories leading to these features, which are discussed. In one class, which allows a complete elimination of fine-tuning, the Higgsinos are the lightest among all the superpartners of the standard model particles, leading to three nearly degenerate neutralino/chargino states. This gives interesting signals at the LHC--the dilepton invariant mass distribution has a very small endpoint and shows a particular shape determined by the Higgsino nature of the two lightest neutralinos. We demonstrate that these signals are indeed useful in realistic analyses by performing Monte Carlo simulations, including detector simulations and background estimations. We also present a method that allows the determination of all the relevant superparticle masses without using input from particular models, despite the limited kinematical information due to short cascades. This allows us to test various possible models, which is demonstrated in the case of a model with mixed moduli-anomaly mediation. We also give a simple derivation of special renormalization group properties associated with moduli mediated supersymmetry breaking, which are relevant in a model without fine-tuning.

  10. A Supersymmetric Composite Model with Dynamical Supersymmetry Breaking

    CERN Document Server

    Kitazawa, N; Kitazawa, Noriaki; Okada, Nobuchika

    1997-01-01

    We present a supersymmetric composite model with dynamical supersymmetry breaking. The model is based on the gauge group $SU(2)_S \\times SU(2)_H \\times SU(3)_c \\times SU(2)_L \\times U(1)_Y$. Supersymmetry is dynamically broken by the non-perturbative effect of the $SU(2)_S$ `supercolor' interaction. The large top Yukawa coupling is naturally generated by the $SU(2)_H$ `hypercolor' interaction as recently proposed by Nelson and Strassler. The supersymmetry breaking is mediated to the standard model sector by a new mechanism. The electroweak symmetry breaking is caused by the radiative correction due to the large top Yukawa coupling with the supersymmetry breaking. This is the `radiative breaking scenario', which originates from the dynamics of the supercolor and hypercolor gauge interactions.

  11. Cyclic Family Symmetry and Lepton Hierarchy in Supersymmetry

    OpenAIRE

    Du, Dongsheng; Chun LIU

    1995-01-01

    A cyclic symmetry among the left-handed doublets of the three families is proposed. This symmetry can naturally result in a realistic hierarchical pattern of the fermion masses within the framework of supersymmetry with nonvanishing sneutrino vacuum expectation values.

  12. N = (4,4 Supersymmetry and T-Duality

    Directory of Open Access Journals (Sweden)

    Malin Göteman

    2012-10-01

    Full Text Available A sigma model with four-dimensional target space parametrized by chiral and twisted chiral N =(2,2 superfields can be extended to N =(4,4 supersymmetry off-shell, but this is not true for a model of semichiral fields, where the N = (4,4 supersymmetry can only be realized on-shell. The two models can be related to each other by T-duality. In this paper we perform a duality transformation from a chiral and twisted chiral model with off-shell N = (4,4 supersymmetry to a semichiral model. We find that additional non-linear terms must be added to the original transformations to obtain a semichiral model with N =(4,4 supersymmetry, and that the algebra closes on-shell as a direct consequence of the T-duality.

  13. Cliffordized NAC supersymmetry and PT-symmetric Hamiltonians

    Energy Technology Data Exchange (ETDEWEB)

    Toppan, Francesco [Centro Brasileiro de Pesquisas Fisicas (CBPF), Rio de Janeiro, RJ (Brazil)]. E-mail: toppan@cbpf.br

    2007-07-01

    It is shown that non-anti commutative supersymmetry can be described through a Cliffordization of the superspace fermionic coordinates. A NAC supersymmetric quantum mechanical model is shown to be a PT-symmetric Hamiltonian. (author)

  14. The coupling of non-linear supersymmetry to supergravity

    Energy Technology Data Exchange (ETDEWEB)

    Antoniadis, Ignatios [Sorbonne Universites, UPMC Paris 6, LPTHE, UMR CNRS 7589, Paris (France); University of Bern, Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, Bern (Switzerland); Markou, Chrysoula [Sorbonne Universites, UPMC Paris 6, LPTHE, UMR CNRS 7589, Paris (France)

    2015-12-15

    We study the coupling of non-linear supersymmetry to supergravity. The goldstino nilpotent superfield of global supersymmetry coupled to supergravity is described by a geometric action of the chiral curvature superfield R subject to the constraint (R - λ){sup 2} = 0 with an appropriate constant λ. This constraint can be found as the decoupling limit of the scalar partner of the goldstino in a class of f(R) supergravity theories. (orig.)

  15. The coupling of non-linear supersymmetry to supergravity

    Energy Technology Data Exchange (ETDEWEB)

    Antoniadis, Ignatios, E-mail: antoniad@lpthe.jussieu.fr [LPTHE, UMR CNRS 7589, Sorbonne Universités, UPMC Paris 6, 75005, Paris (France); Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, Sidlestrasse 5, 3012, Bern (Switzerland); Markou, Chrysoula, E-mail: chrysoula@lpthe.jussieu.fr [LPTHE, UMR CNRS 7589, Sorbonne Universités, UPMC Paris 6, 75005, Paris (France)

    2015-12-09

    We study the coupling of non-linear supersymmetry to supergravity. The goldstino nilpotent superfield of global supersymmetry coupled to supergravity is described by a geometric action of the chiral curvature superfield R subject to the constraint (R-λ){sup 2}=0 with an appropriate constant λ. This constraint can be found as the decoupling limit of the scalar partner of the goldstino in a class of f(R) supergravity theories.

  16. A topological bound for electroweak vortices from supersymmetry

    CERN Document Server

    Edelstein, J D; Edelstein, Jose D; Nunez, Carlos

    1995-01-01

    We study the connection between N=2 supersymmetry and a topological bound in a two-Higgs doublet system having an SU(2)\\times U(1)_Y\\times U(1)_{Y^{\\prime}} gauge group. We derive Bogomol'nyi equations from supersymmetry considerations showing that they hold provided certain conditions on the coupling constants, which are a consequence of the huge symmetry of the theory, are satisfied. Certain interesting limiting cases of our model are analysed.

  17. Anomalous U(1) as a mediator of Supersymmetry Breaking

    CERN Document Server

    Dvali, Gia; Dvali, Gia; Pomarol, Alex

    1996-01-01

    We point out that an anomalous gauge U(1) symmetry is a natural candida= te for being the mediator and messenger of supersymmetry breaking. It facilitate= s dynamical supersymmetry breaking even in the flat limit. Soft masses are induced by both gravity and the U(1) gauge interactions giving an unusual= mass hierarchy in the sparticle spectrum which suppresses flavor violations. T= his scenario does not suffer from the Polonyi problem.

  18. Discriminating Supersymmetry and Black Holes at the Large Hadron Collider

    CERN Document Server

    Roy, Arunava

    2008-01-01

    We show how to differentiate the minimal supersymmetric extension of the standard model from black hole events at the Large Hadron Collider. Black holes are simulated with the CATFISH generator. Supersymmetry simulations use a combination of PYTHIA and ISAJET. Our study, based on event shape variables, visible and missing momenta, and analysis of dilepton events, demonstrates that supersymmetry and black hole events at the LHC can be easily discriminated.

  19. Mass Formulae for Broken Supersymmetry in Curved Space-Time

    CERN Document Server

    Ferrara, Sergio

    2016-01-01

    We derive the mass formulae for ${\\cal N}=1$, $D=4$ matter-coupled Supergravity for broken (and unbroken) Supersymmetry in curved space-time. These formulae are applicable to de Sitter configurations as is the case for inflation. For unbroken Supersymmetry in anti-de Sitter (AdS) one gets the mass relations modified by the AdS curvature. We compute the mass relations both for the potential and its derivative non-vanishing.

  20. Majorana Fermions, Supersymmetry Breaking, and Born-Infeld Theory

    CERN Document Server

    Ferrara, Sergio; Yeranyan, Armen

    2015-01-01

    This review is devoted to highlight some aspects of the relevance of Majorana fermions in rigid supersymmetry breaking in four spacetime dimensions. After introducing some basic facts on spinors, and on their symmetries and reality properties, we consider Goldstino actions describing partial breaking of rigid supersymmetry, then focussing on Born-Infeld non-linear theory, its duality symmetry, and its supersymmetric extensions, also including multi-field generalizations exhibiting doubly self-duality.

  1. Supersymmetry searches with ATLAS: overview and latest results

    CERN Document Server

    CERN. Geneva

    2013-01-01

    Despite the absence of experimental evidence, weak scale supersymmetry remains one of the best motivated and studied Standard Model extensions. The ATLAS experiment searches for signs of supersymmetry in a large variety of signatures involving events with abnormal production of missing transverse momentum, jets, leptons, photons, third generation fermions, gauge bosons or massive long-lived particles. The talk presents the latest results obtained in these searches.

  2. Painlevé Representation of Tracy-Widom{_β} Distribution for {β} = 6

    Science.gov (United States)

    Rumanov, Igor

    2016-03-01

    In Rumanov (J Math Phys 56:013508, 2015), we found explicit Lax pairs for the soft edge of beta ensembles with even integer values of {β}. Using this general result, the case {β = 6} is further considered here. This is the smallest even {β}, when the corresponding Lax pair and its relation to Painlevé II (PII) have not been known before, unlike cases {β = 2} and 4. It turns out that again everything can be expressed in terms of the Hastings-McLeod solution of PII. In particular, a second order nonlinear ordinary differential equation (ODE) for the logarithmic derivative of Tracy-Widom distribution for {β = 6} involving the PII function in the coefficients is found, which allows one to compute asymptotics for the distribution function. The ODE is a consequence of a linear system of three ODEs for which the local singularity analysis yields series solutions with exponents in the set 4/3, 1/3 and -2/3.

  3. Noncommutative extensions of elliptic integrable Euler-Arnold tops and Painlevé VI equation

    Science.gov (United States)

    Levin, A.; Olshanetsky, M.; Zotov, A.

    2016-09-01

    In this paper we suggest generalizations of elliptic integrable tops to matrix-valued variables. Our consideration is based on the R-matrix description which provides Lax pairs in terms of quantum and classical R-matrices. First, we prove that for relativistic (and non-relativistic) tops, such Lax pairs with spectral parameters follow from the associative Yang-Baxter equation and its degenerations. Then we proceed to matrix extensions of the models and find out that some additional constraints are required for their construction. We describe a matrix version of the {{{Z}}}2 reduced elliptic top and verify that the latter constraints are fulfilled in this case. The construction of matrix extensions is naturally generalized to the monodromy preserving equation. In this way we get matrix extensions of the Painlevé VI equation and its multidimensional analogues written in the form of non-autonomous elliptic tops. Finally, it is mentioned that the matrix valued variables can be replaced by elements of noncommutative associative algebra. At the end of the paper we also describe special elliptic Gaudin models which can be considered as matrix extensions of the ({{{Z}}}2 reduced) elliptic top.

  4. Jean Painlevé : de la science à la fiction scientifique.

    Directory of Open Access Journals (Sweden)

    Florence Riou

    2009-12-01

    Full Text Available Si l'image documentaire, et à fortiori l'image scientifique est encore souvent perçue comme la réalité elle-même, elle n'est cependant qu’interprétation. Nous nous proposons ici, par une approche issue de l'histoire des techniques, d'interroger la construction des images liées à la pratique de biologiste. La mise en formes de ces images est tout à la fois le reflet de l'expérimentateur, de l'instrument, et celui de la connaissance de l'époque. Mais dans un désir de partage de la science au plus grand nombre, elles soulèvent aussi la question du lien existant entre science et fiction. Jean Painlevé (1902-1989, réalisateur et scientifique usant du cinématographe, met l'accent sur ce point dès les années trente. Conscient de notre tendance naturelle à l'anthropomorphisme, il souligne la nécessité d'une éducation du regard pour plus d'indépendance et d'esprit critique vis à vis des images. Et, en tirant du contenu scientifique lui même la substance et la dramaturgie de ses histoires, il propose une mise en fiction de la science qui renouvelle le genre documentaire.

  5. On linear systems and tau functions associated with Lame's equation and Painleve's equation VI

    CERN Document Server

    Blower, Gordon

    2009-01-01

    Painleve's transcendental differential equation P_{VI} may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries. By a construction due to Tracy and Widom, this linear system is associated with certain kernels which give trace class operators on Hilbert space. This paper expresses such operators in terms of the Hankel operators \\Gamma_\\phi of linear systems which are realised in terms of the Laurent coefficients of the solutions of the differential equations. Let P_{(t infty)}:L^2(0, \\infty)\\to L^2(t, \\infty) be the orthogonal projection. For such, the Fredholm determinant \\tau (t)=det (I-P_{(t, \\infty)}\\Gamma_\\phi) defines the tau function, which is here expressed in terms of the solutions of a matrix Gelfand--Levitan equation. For suitable paramters, solutions of the hypergeometric equation give a linear system with similar properties. For meromorphic transfer functions \\hat\\phi that have poles on an arithmetic progression...

  6. Supersymmetry, Cosmological Constant and Inflation: Towards a fundamental cosmic picture via "running vacuum"

    Science.gov (United States)

    Mavromatos, Nick E.

    2016-11-01

    On the occasion of a century from the proposal of General relativity by Einstein, I attempt to tackle some open issues in modern cosmology, via a toy but non-trivial model. Specifically, I would like to link together: (i) the smallness of the cosmological constant today, (ii) the evolution of the universe from an inflationary era after the bigbang till now, and (iii) local supersymmetry in the gravitational sector (supergravity) with a broken spectrum at early eras, by making use of the concept of the "running vacuum" in the context of a simple toy model of four-dimensional N = 1 supergravity. The model is characterised by dynamically broken local supersymmetry, induced by the formation of gravitino condensates in the early universe. As I will argue, there is a Starobinsky-type inflationary era characterising the broken supersymmetry phase in this model, which is compatible with the current cosmological data, provided a given constraint is satisfied among some tree-level parameters of the model and the renormalised cosmological constant of the de Sitter background used in the analysis. Applying the "running vacuum" concept, then, to the effective field theory at the exit of inflation, makes a smooth connection (in cosmic time) with the radiation dominance epoch and subsequently with the current era of the Universe, characterised by a small (but dominant) cosmological-constant contribution to the cosmic energy density. In this approach, the smallness of the cosmological constant today is attributed to the failure (due to quantum gravity non-perturbative effects) of the aforementioned constraint.

  7. Euler integral symmetries for a deformed Heun equation and symmetries of the Painlevé PVI equation

    Science.gov (United States)

    Kazakov, A. Ya.; Slavyanov, S. Yu.

    2008-05-01

    Euler integral transformations relate solutions of ordinary linear differential equations and generate integral representations of the solutions in a number of cases or relations between solutions of constrained equations (Euler symmetries) in some other cases. These relations lead to the corresponding symmetries of the monodromy matrices. We discuss Euler symmetries in the case of the simplest Fuchsian system that is equivalent to a deformed Heun equation, which is in turn related to the Painlevé PVI equation. The existence of integral symmetries of the deformed Heun equation leads to the corresponding symmetries of the PVI equation.

  8. Application of the Jacobi method and integrating factors to a class of Painlevé-Gambier equations

    Science.gov (United States)

    Yaşar, Emrullah; Reis, Murat

    2010-07-01

    In this work, we consider the motion of chain ball drawing with constant force in the frictionless surface which is a class of the Painlevé-Gambier equations. We apply Jacobi's method which enables us to obtain Lagrangians of any second-order differential equation. It is comprised that the Lagrangian obtained by Musielak's method is the particular case of the many Lagrangians that can be obtained by Jacobi's method. In addition, we obtain integrating factors and first integrals for the equation in question by Ibragimov's variational derivative approach.

  9. Should we still believe in constrained supersymmetry?

    CERN Document Server

    Balázs, Csaba; Carter, Daniel; Farmer, Benjamin; White, Martin

    2012-01-01

    We calculate Bayes factors to quantify how the feasibility of the constrained minimal supersymmetric standard model (CMSSM) has changed in the light of a series of observations. This is done in the Bayesian spirit where probability reflects a degree of belief in a proposition and Bayes' theorem tells us how to update it after acquiring new information. Our experimental baseline is the approximate knowledge that was available before LEP, and our comparison model is the Standard Model with a simple dark matter candidate. To quantify the amount by which experiments have altered our relative belief in the CMSSM since the baseline data we compute the Bayes factors that arise from learning in sequence the LEP Higgs constraints, the XENON100 dark matter constraints, the 2011 LHC supersymmetry search results, and the early 2012 LHC Higgs search results. We find that LEP and the LHC strongly shatter our trust in the CMSSM (with $M_0$ and $M_{1/2}$ below 2 TeV), reducing its posterior odds by a factor of approximately ...

  10. Explicitly Broken Supersymmetry with Exactly Massless Moduli

    CERN Document Server

    Dong, Xi; Zhao, Yue

    2014-01-01

    There is an avatar of the little hierarchy problem of the MSSM in 3-dimensional supersymmetry. We propose a solution to this problem in AdS$_3$ based on the AdS/CFT correspondence. The bulk theory is a supergravity theory in which U(1) $\\times$ U(1) R-symmetry is gauged by Chern-Simons fields. The bulk theory is deformed by a boundary term quadratic in the gauge fields. It breaks SUSY completely and sources an exactly marginal operator in the dual CFT. SUSY breaking is communicated by gauge interactions to bulk scalar fields and their spinor superpartners. Since the R-charges of scalar and spinor differ, this generates a SUSY breaking shift of their masses. The Ward identity facilitates the calculation of these mass shifts to any desired order in the strength of the deformation. Moduli fields are massless $R$-neutral bulk scalars with vanishing potential in the undeformed theory. These properties are maintained to all orders in the deformation despite the fact that moduli couple in the bulk to loops of R-char...

  11. Searching for Supersymmetry with the ATLAS detector

    CERN Document Server

    White, Martin J

    2006-01-01

    This thesis presents a new method by which one may use data from the ATLAS detector of the Large Hadron Collider at CERN to measure the parameters of the theory of supersymmetry (SUSY). The technique uses a Markov Chain Monte Carlo sampling algorithm to combine measurements of exclusive variables, in the form of kinematic endpoints that arise in the invariant mass distributions of leptons and jets given out in sparticle decay chains, with inclusive data, in the form of the cross-section of events passing a missing transverse energy cut. This improves the precision of sparticle mass measurements (beyond that obtained using exclusive data alone), whilst also enabling experimental uncertainties to be handled in an intuitive fashion. The method is demonstrated on an mSUGRA benchmark model, and is also used to constrain a model with a greater number of parameters. Throughout, an attempt is made to break some of the unrealistic assumptions that characterise current SUSY search techniques, and to this end it is succ...

  12. Supersymmetry Without Prejudice at the LHC

    CERN Document Server

    Conley, John A; Hewett, JoAnne L; Le, My Phuong; Rizzo, Thomas G

    2010-01-01

    The discovery and exploration of Supersymmetry in a model-independent fashion will be a daunting task due to the large number of soft-breaking parameters, $\\sim 100$, in the MSSM. In this paper, we explore the capability of the ATLAS detector at the LHC ($\\sqrt s=14$ TeV, 1 fb$^{-1}$) to find SUSY within the 19-dimensional pMSSM subspace of the MSSM using their standard MET and long-lived particle searches that were essentially designed for mSUGRA. To this end, we employ a set of $\\sim 71$k previously generated model points in the 19-dimensional parameter space that satisfy all of the existing experimental and theoretical constraints. Employing ATLAS-generated SM backgrounds and following their approach in each of 11 MET analyses as closely as possible, we explore all of these $\\sim 71$k model points for a possible SUSY signal. To test our analysis procedure, we first verify that we faithfully reproduce the published ATLAS results for the signal distributions for their benchmark mSUGRA model points. We then s...

  13. Generalized geometry and partial supersymmetry breaking

    Energy Technology Data Exchange (ETDEWEB)

    Triendl, Hagen Mathias

    2010-08-15

    This thesis consists of two parts. In the first part we use the formalism of (exceptional) generalized geometry to derive the scalar field space of SU(2) x SU(2)-structure compactifications. We show that in contrast to SU(3) x SU(3) structures, there is no dynamical SU(2) x SU(2) structure interpolating between an SU(2) structure and an identity structure. Furthermore, we derive the scalar manifold of the low-energy effective action for consistent Kaluza-Klein truncations as expected from N = 4 supergravity. In the second part we then determine the general conditions for the existence of stable Minkowski and AdS N = 1 vacua in spontaneously broken gauged N = 2 supergravities and construct the general solution under the assumption that two appropriate commuting isometries exist in the hypermultiplet sector. Furthermore, we derive the low-energy effective action below the scale of partial supersymmetry breaking and show that it satisfies the constraints of N = 1 supergravity. We then apply the discussion to special quaternionic-Kaehler geometries which appear in the low-energy limit of SU(3) x SU(3)-structure compactifications and construct Killing vectors with the right properties. Finally we discuss the string theory realizations for these solutions. (orig.)

  14. Electric dipole moments in natural supersymmetry

    Science.gov (United States)

    Nakai, Yuichiro; Reece, Matthew

    2017-08-01

    We discuss electric dipole moments (EDMs) in the framework of CP-violating natural supersymmetry (SUSY). Recent experimental results have significantly tightened constraints on the EDMs of electrons and of mercury, and substantial further progress is expected in the near future. We assess how these results constrain the parameter space of natural SUSY. In addition to our discussion of SUSY, we provide a set of general formulas for two-loop fermion EDMs, which can be applied to a wide range of models of new physics. In the SUSY context, the two-loop effects of stops and charginos respectively constrain the phases of A t μ and M 2 μ to be small in the natural part of parameter space. If the Higgs mass is lifted to 125 GeV by a new tree-level superpotential interaction and soft term with CP-violating phases, significant EDMs can arise from the two-loop effects of W bosons and tops. We compare the bounds arising from EDMs to those from other probes of new physics including colliders, b → sγ, and dark matter searches. Importantly, improvements in reach not only constrain higher masses, but require the phases to be significantly smaller in the natural parameter space at low mass. The required smallness of phases sharpens the CP problem of natural SUSY model building.

  15. A Composite Model of Quarks with the `Effective Supersymmetry'

    Science.gov (United States)

    Okada, N.

    1998-04-01

    We present a composite model of quarks with `effective supersymmetry'. The model is based on the gauge group (SU(2)S × SU(2)M) × (SU(2)U × SU(2)C × SU(2)T) × SU(5)SM , where SU(5)SM is the standard model gauge group. In the dynamical supersymmetry breaking sector based on the gauge group SU(2)S × SU(2)M , supersymmetry is dynamically broken. The preon sector is constructed by the model proposed by Nelson and Strassler. The fermion mass hierarchy among the up-type quarks originates from the SU(2)U × SU(2)C × SU(2)T gauge dynamics. The supersymmetry breaking is mediated to the minimal supersymmetric standard model sector by the `preon' superfields which compose the quarks in the first two generations. To obtain an experimentally acceptable mass spectrum, the scalar quarks in the first two generations need masses of order 10 TeV, while the other superpartners need masses less than 1 TeV. Therefore, the mass spectrum in our model is one example of the `effective supersymmetry' model proposed by Cohen, Kaplan and Nelson.

  16. A Composite Model of Quarks with the "Effective Supersymmetry"

    CERN Document Server

    Okada, N

    1998-01-01

    We present a composite model of quarks with the `effective supersymmetry'. The model is based on the gauge group $(SU(2)_S \\times SU(2)_M) \\times (SU(2)_U standard model gauge group. In the dynamical supersymmetry breaking sector based on the gauge group $ SU(2)_S \\times SU(2)_M $, the supersymmetry is dynamically broken. The preon sector is constructed by the model proposed by Nelson and Strassler. The fermion mass hierarchy among the up-type quarks originates from the $ SU(2)_U \\times SU(2)_C \\times SU(2)_T $ gauge dynamics. The supersymmetry breaking is mediated to the minimal supersymmetric standard model sector by the `preon' superfields which compose the quarks in the first two generations. To obtain the experimentally acceptable mass spectrum, the scalar quarks in the first two generations have masses of order 10 TeV, while the other superpartners have masses of order 100 GeV. Therefore, the mass spectrum in our model is one of the type of the `effective supersymmetry' model proposed by Cohen, Kaplan a...

  17. Nonlinear sigma models with AdS supersymmetry in three dimensions

    CERN Document Server

    Butter, Daniel; Tartaglino-Mazzucchelli, Gabriele

    2012-01-01

    In three-dimensional anti-de Sitter (AdS) space, there exist several realizations of N-extended supersymmetry, which are traditionally labelled by two non-negative integers p>=q such that p+q=N. Different choices of p and q, with N fixed, prove to lead to different restrictions on the target space geometry of supersymmetric nonlinear sigma-models. We classify all possible types of hyperkahler target spaces for the cases N=3 and N=4 by making use of two different realizations for the most general (p,q) supersymmetric sigma-models: (i) off-shell formulations in terms of N=3 and N=4 projective supermultiplets; and (ii) on-shell formulations in terms of covariantly chiral scalar superfields in (2,0) AdS superspace. Depending on the type of N=3,4 AdS supersymmetry, nonlinear sigma-models can support one of the following target space geometries: (i) hyperkahler cones; (ii) non-compact hyperkahler manifolds with a U(1) isometry group which acts non-trivially on the two-sphere of complex structures; (iii) arbitrary h...

  18. Homology of Lie algebra of supersymmetries and of super Poincare Lie algebra

    Energy Technology Data Exchange (ETDEWEB)

    Movshev, M.V. [Department of Mathematics, Stony Brook University, Stony Brook, NY 11794-3651 (United States); Schwarz, A., E-mail: schwarz@math.ucdavis.edu [Department of Mathematics, University of California, Davis, CA 95616 (United States); Xu, Renjun [Department of Physics, University of California, Davis, CA 95616 (United States)

    2012-01-11

    We study the homology and cohomology groups of super Lie algebras of supersymmetries and of super Poincare Lie algebras in various dimensions. We give complete answers for (non-extended) supersymmetry in all dimensions {<=}11. For dimensions D=10,11 we describe also the cohomology of reduction of supersymmetry Lie algebra to lower dimensions. Our methods can be applied to extended supersymmetry Lie algebras.

  19. Spherical spacelike geometries in static spherically symmetric spacetimes: Generalized Painlevè-Gullstrand coordinates, foliation, and embedding

    Science.gov (United States)

    Akbar, M. M.

    2017-06-01

    It is well known that static spherically symmetric spacetimes can admit foliations by flat spacelike hypersurfaces, which are best described in terms of the Painlevè-Gullstrand coordinates. The uniqueness and existence of such foliations were addressed earlier. In this paper, we prove, purely geometrically, that any possible foliation of a static spherically symmetric spacetime by an arbitrary codimension-one spherical spacelike geometry, up to time translation and rotation, is unique, and we find the algebraic condition under which it exists. This leads us to what can be considered as the most natural generalization of the Painlevè-Gullstrand coordinate system for static spherically symmetric metrics, which, in turn, makes it easy to derive generic conclusions on foliation and to study specific cases as well as to easily reproduce previously obtained generalizations as special cases. In particular, we note that the existence of foliation by flat hypersurfaces guarantees the existence of foliation by hypersurfaces whose Ricci curvature tensor is everywhere non-positive (constant negative curvature is a special case). The study of uniqueness and the existence concurrently solves the question of embeddability of a spherical spacelike geometry in one-dimensional higher static spherically symmetric spacetimes, and this produces known and new results geometrically, without having to go through the momentum and Hamiltonian constraints.

  20. Discrete Painlevé equations for a class of PVI τ-functions given as U(N) averages

    Science.gov (United States)

    Forrester, P. J.; Witte, N. S.

    2005-09-01

    In a recent work, difference equations (Laguerre-Freud equations) for the bi-orthogonal polynomials and related quantities corresponding to the weight on the unit circle w(z)=\\prod^m_{j=1}(z-z_j(t))^{\\rho_j} were derived. It is shown here that in the case m = 3, these difference equations, when applied to the calculation of the underlying U(N) average, reduce to a coupled system identifiable with that obtained by Adler and van Moerbeke, using the methods of the Toeplitz lattice and Virasoro constraints. Moreover, it is shown that this coupled system can be reduced to yield the discrete fifth Painlevé equation dPV as it occurs in the theory of the sixth Painlevé system. Methods based on affine Weyl group symmetries of Bäcklund transformations have previously yielded the dPV equation, but with different parameters for the same problem. We find an explicit mapping between the two forms. Applications of our results are made to give recurrences for the gap probabilities and moments in the circular unitary ensemble of random matrices, and to the diagonal spin-spin correlation function of the square lattice Ising model.

  1. Supersymmetry without prejudice at the LHC

    Science.gov (United States)

    Conley, John A.; Gainer, James S.; Hewett, JoAnne L.; Le, My Phuong; Rizzo, Thomas G.

    2011-07-01

    The discovery and exploration of Supersymmetry in a model-independent fashion will be a daunting task due to the large number of soft-breaking parameters in the MSSM. In this paper, we explore the capability of the ATLAS detector at the LHC (sqrt{s}=14 TeV, 1 fb-1) to find SUSY within the 19-dimensional pMSSM subspace of the MSSM using their standard transverse missing energy and long-lived particle searches that were essentially designed for mSUGRA. To this end, we employ a set of ˜71k previously generated model points in the 19-dimensional parameter space that satisfy all of the existing experimental and theoretical constraints. Employing ATLAS-generated SM backgrounds and following their approach in each of 11 missing energy analyses as closely as possible, we explore all of these 71k model points for a possible SUSY signal. To test our analysis procedure, we first verify that we faithfully reproduce the published ATLAS results for the signal distributions for their benchmark mSUGRA model points. We then show that, requiring all sparticle masses to lie below 1(3) TeV, almost all (two-thirds) of the pMSSM model points are discovered with a significance S>5 in at least one of these 11 analyses assuming a 50% systematic error on the SM background. If this systematic error can be reduced to only 20% then this parameter space coverage is increased. These results are indicative that the ATLAS SUSY search strategy is robust under a broad class of Supersymmetric models. We then explore in detail the properties of the kinematically accessible model points which remain unobservable by these search analyses in order to ascertain problematic cases which may arise in general SUSY searches.

  2. Supersymmetry Without Prejudice at the LHC

    Energy Technology Data Exchange (ETDEWEB)

    Conley, John A.; /Bonn U.; Gainer, James S.; /Argonne /Northwestern U.; Hewett, JoAnne L.; Le, My Phuong; Rizzo, Thomas G.; /SLAC

    2011-08-19

    The discovery and exploration of Supersymmetry in a model-independent fashion will be a daunting task due to the large number of soft-breaking parameters in the MSSM. In this paper, we explore the capability of the ATLAS detector at the LHC ({radical}s = 14 TeV, 1 fb{sup -1}) to find SUSY within the 19-dimensional pMSSM subspace of the MSSM using their standard transverse missing energy and long-lived particle searches that were essentially designed for mSUGRA. To this end, we employ a set of {approx} 71k previously generated model points in the 19-dimensional parameter space that satisfy all of the existing experimental and theoretical constraints. Employing ATLAS-generated SM backgrounds and following their approach in each of 11 missing energy analyses as closely as possible, we explore all of these 71k model points for a possible SUSY signal. To test our analysis procedure, we first verify that we faithfully reproduce the published ATLAS results for the signal distributions for their benchmark mSUGRA model points. We then show that, requiring all sparticle masses to lie below 1(3) TeV, almost all(two-thirds) of the pMSSM model points are discovered with a significance S > 5 in at least one of these 11 analyses assuming a 50% systematic error on the SM background. If this systematic error can be reduced to only 20% then this parameter space coverage is increased. These results are indicative that the ATLAS SUSY search strategy is robust under a broad class of Supersymmetric models. We then explore in detail the properties of the kinematically accessible model points which remain unobservable by these search analyses in order to ascertain problematic cases which may arise in general SUSY searches.

  3. ACADEMIC TRAINING LECTURE SERIES: Searching for Supersymmetry at the LHC

    CERN Multimedia

    2003-01-01

    3, 4, 5, 6, 7 February 2003 ACADEMIC TRAINING LECTURE SERIES from 10.00 to 12.00 hrs - Auditorium, bldg. 500 Searching for Supersymmetry at the LHC by F. Gianotti, CERN-EP and G. Ridolfi, Univ. Di Genova, Italy We will review the general motivations for proposing non-standard descriptions of fundamental interactions. We will give a simple and pedagogical presentation of the theoretical foundations of Supersymmetry, and we will describe the main features of a realistic supersymmetric extension of the Standard Model. We will present the phenomenology expected in several motivated scenarios. We will then review the present status of the experimental searches for Supersymmetry at LEP and Tevatron, and discuss prospects at future machines with emphasis on the LHC. We will outline the search strategies and the analysis methods, and compare the sensitivity and reach of the various machines.

  4. 'Dynamical Supersymmetry Breaking, with Flavor'

    Energy Technology Data Exchange (ETDEWEB)

    Craig, Nathaniel; Essig, Rouven; /Stanford U., Phys. Dept. /SLAC; Franco, Sebastian; Kachru, Shamit; /Santa Barbara, KITP /UC, Santa Barbara; Torroba, Gonzalo; /Stanford U., Phys. Dept. /SLAC /Santa Barbara, KITP /UC, Santa Barbara

    2010-08-26

    We explore calculable models with low-energy supersymmetry where the flavor hierarchy is generated by quark and lepton compositeness, and where the composites emerge from the same sector that dynamically breaks supersymmetry. The observed pattern of Standard Model fermion masses and mixings is obtained by identifying the various generations with composites of different dimension in the ultraviolet. These 'single-sector' supersymmetry breaking models give rise to various spectra of soft masses which are, in many cases, quite distinct from what is commonly found in models of gauge or gravity mediation. In typical models which satisfy all flavor-changing neutral current constraints, both the first and second generation sparticles have masses of order 20 TeV, while the stop mass is a few TeV. In other cases, all sparticles obtain masses of order a few TeV predominantly from gauge mediation, even though the first two generations are composite.

  5. Supersymmetry Breaking due to Moduli Stabilization in String Theory

    CERN Document Server

    Linde, Andrei; Olive, Keith A

    2011-01-01

    We consider the phenomenological consequences of fixing compactification moduli. In the simplest KKLT constructions, stabilization of internal dimensions is rather soft: weak scale masses for moduli are generated, and are of order m_\\sigma ~ m_{3/2}. As a consequence one obtains a pattern of soft supersymmetry breaking masses found in gravity and/or anomaly mediated supersymmetry breaking (AMSB) models. These models may lead to destabilization of internal dimensions in the early universe, unless the Hubble constant during inflation is very small. Fortunately, strong stabilization of compactified dimensions can be achieved by a proper choice of the superpotential (e.g in the KL model with a racetrack superpotential). This allows for a solution of the cosmological moduli problem and for a successful implementation of inflation in supergravity. We show that strong moduli stabilization leads a very distinct pattern of soft supersymmetry breaking masses. In general, we find that soft scalar masses remain of order ...

  6. Inverse Supersymmetry Breaking in S1 × R3

    Directory of Open Access Journals (Sweden)

    Vasilis Oikonomou

    2010-03-01

    Full Text Available In this paper, we study the influence of hard supersymmetry breaking terms in a N = 1, d = 4 supersymmetric model, in S1 × R3 spacetime topology. It is shown that when the radius of the compact dimension is large supersymmetry is unbroken, and dynamically breaks as the radius decreases. We point out that this resembles the inverse symmetry breaking of continuous symmetries at finite temperature (however, in the case of supersymmetry, the role of the temperature is played by the compact dimension’s radius. Furthermore, we also find a universality in the dependence of the critical length Lc as a function of a coupling g3, after comparing all cases.

  7. Collider interplay for supersymmetry, Higgs and Dark matter

    Energy Technology Data Exchange (ETDEWEB)

    Buchmueller, O.; Citron, M.; Vries, K. de [Imperial College, High Energy Physics Group, Blackett Lab., London (United Kingdom); Ellis, J. [King' s College London, Theoretical Particle Physics and Cosmology Group, Department of Physics, London (United Kingdom); CERN, Physics Department, Geneva 23 (Switzerland); Guha, S. [CERN, Physics Department, Geneva 23 (Switzerland); BITS Pilani, Goa (India); Marrouche, J. [Imperial College, High Energy Physics Group, Blackett Lab., London (United Kingdom); CERN, Physics Department, Geneva 23 (Switzerland); Olive, K.A.; Zheng, Jiaming [Univ. of Minnesota, William I. Fine Theoretical Physics Institute, School of Physics and Astronomy, Minneapolis, MN (United States)

    2015-10-15

    We discuss the potential impacts on the CMSSM of future LHC runs and possible e{sup +}e{sup -} and higher-energy proton-proton colliders, considering searches for supersymmetry via E{sub T} events, precision electroweak physics, Higgs measurements and dark matter searches. We validate and present estimates of the physics reach for exclusion or discovery of supersymmetry via E{sub T} searches at the LHC, which should cover the low-mass regions of the CMSSM parameter space favoured in a recent global analysis. As we illustrate with a low-mass benchmark point, a discovery would make possible accurate LHC measurements of sparticle masses using the MT2 variable, which could be combined with cross-section and other measurements to constrain the gluino, squark and stop masses and hence the soft supersymmetry-breaking parameters m{sub 0}, m{sub 1/2} and A{sub 0} of the CMSSM. Slepton measurements at CLIC would enable m{sub 0} and m{sub 1/2} to be determined with high precision. If supersymmetry is indeed discovered in the low-mass region, precision electroweak and Higgs measurements with a future circular e{sup +}e{sup -} collider (FCC-ee, also known as TLEP) combined with LHCmeasurements would provide tests of the CMSSM at the loop level. If supersymmetry is not discovered at the LHC, it is likely to lie somewhere along a focus-point, stopcoannihilation strip or direct-channel A/H resonance funnel. We discuss the prospects for discovering supersymmetry along these strips at a future circular proton-proton collider such as FCC-hh. Illustrative benchmark points on these strips indicate that also in this case FCC-ee could provide tests of the CMSSM at the loop level. (orig.)

  8. Supersymmetry breaking effects by analytic continuation into superspace

    CERN Document Server

    Rattazzi, Riccardo

    1999-01-01

    I consider theories where supersymmetry breaking is communicated by renormalizable interactions and generated by the vacuum expectation value of a chiral superfield X=M+ theta /sup 2/F. I show that soft terms for the observable fields can be obtained by continuing the renormalization group and the matching procedure into superspace. The superspectrum is just determined by anomalous dimensions and beta functions, with no need to further compute any Feynman diagrams. This method greatly simplifies calculations that are rather involved if performed in components. For illustration I reproduce known results for theories with gauge mediated supersymmetry breaking. I then use the method to obtain new results of phenomenological importance. (15 refs).

  9. On rigid supersymmetry and notions of holomorphy in five dimensions

    Energy Technology Data Exchange (ETDEWEB)

    Pan, Yiwen [C.N. Yang Institute for Theoretical Physics, Stony Brook University, Stony Brook, NY 11794 (United States); Schmude, Johannes [Department of Physics, Universidad de Oviedo, 33007, Oviedo (Spain)

    2015-11-06

    We study the equations governing rigid N=1 supersymmetry in five dimensions. If the supersymmetry spinor satisfies a reality condition, these are foliations admitting families of almost complex structures on the leaves. In other words, all these manifolds have families of almost Cauchy-Riemann (CR) structures. After deriving integrability conditions under which circumstances the almost CR structure defines a CR manifold or a transversally holomorphic foliation (THF), we discuss implications on localization. We also discuss potential global obstructions to the existence of solutions.

  10. Mass formulae for broken supersymmetry in curved space-time

    Energy Technology Data Exchange (ETDEWEB)

    Ferrara, Sergio [Theoretical Physics Department, CERN, Geneva (Switzerland); INFN - Laboratori Nazionali di Frascati, Frascati (Italy); Department of Physics and Astronomy, U.C.L.A, Los Angeles, CA (United States); Proeyen, Antoine van [KU Leuven, Institute for Theoretical Physics, Leuven (Belgium)

    2016-11-15

    We derive the mass formulae for N = 1, D = 4 matter-coupled Supergravity for broken (and unbroken) Supersymmetry in curved space-time. These formulae are applicable to De Sitter configurations as is the case for inflation. For unbroken Supersymmetry in anti-de Sitter (AdS) one gets the mass relations modified by the AdS curvature. We compute the mass relations both for the potential and its derivative non-vanishing. (copyright 2016 WILEY-VCH Verlag GmbH and Co. KGaA, Weinheim)

  11. θ13 and the Higgs Mass from High Scale Supersymmetry

    Institute of Scientific and Technical Information of China (English)

    LIU Chun; ZHAO Zhen-Hua

    2013-01-01

    In the framework in which supersymmetry is used for understanding fermion masses rather than stabilizing the electroweak scale,we elaborate on the phenomenological analysis for the neutrino physics.A relatively large sin θ13(∽)0.13 is naturally obtained.The model further predicts vanishingly small CP violation in neutrino oscillations.While the high scale supersymmetry generically results in a Higgs mass of about 141 GeV,our model reduces this mass to 126 GeV via introducing SU(2)L triplet fields which make the electroweak vacuum metastable (with a safe lifetime) and also contribute to neutrino masses.

  12. Supersymmetry Breaking by the Right-Handed Tau Neutrino

    CERN Document Server

    Halyo, Edi

    2011-01-01

    We describe supersymmetry breaking by the F-term of a heavy right-handed tau neutrino with a VEV. Due to the the tau neutrino Yukawa coupling, the neutralino, chargino and scalar mass matrices and the weak currents are modified. In addition, there are new cubic and quartic scalar and trilinear R parity violating interactions. For large $\\tan \\beta$ these effects may be quite large. The scenario requires low energy supersymmetry breaking with generic values of $F \\sim 10^{10}$~GeV.

  13. Supersymmetry breaking in the Nambu - Jona-Lasinio approach

    CERN Document Server

    Peschanski, R; Peschanski, R; Savoy, C A

    1995-01-01

    Gaugino condensation in the hidden sector of supergravity models is described within a Nambu-Jona-Lasinio type of approach by minimization of a one-loop scalar potential. The essential ingredients of the mechanism are auxiliary superfields whose v.e.v. generate gaugino condensation and supersymmetry breaking, introduced through Lagrange multipliers. For phenomenologically acceptable values of the gauge couplings, gaugino condensation is disfavoured in this approach. For completeness, it is shown that supersymmetry breaking would occur for a stronger coupling, but at a scale inconsistent with the expectations.

  14. Holomorphic Bisectional Curvatures, Supersymmetry Breaking, and Affleck-Dine Baryogenesis

    CERN Document Server

    Dutta, Bhaskar

    2012-01-01

    Working in $D=4, N=1$ supergravity, we utilize relations between holomorphic sectional and bisectional curvatures of Kahler manifolds to constrain Affleck-Dine baryogenesis. We show the following No-Go result: Affleck-Dine baryogenesis cannot be performed if the holomorphic sectional curvature at the origin is isotropic in tangent space; as a special case, this rules out spaces of constant holomorphic sectional curvature (defined in the above sense) and in particular maximally symmetric coset spaces. We also investigate scenarios where inflationary supersymmetry breaking is identified with the supersymmetry breaking responsible for mass splitting in the visible sector, using conditions of sequestering to constrain manifolds where inflation can be performed.

  15. Natural X-ray lines from the low scale supersymmetry breaking

    Energy Technology Data Exchange (ETDEWEB)

    Kang, Zhaofeng, E-mail: zhaofengkang@gmail.com [Center for High-Energy Physics, Peking University, Beijing 100871 (China); School of Physics, Korea Institute for Advanced Study, Seoul 130-722 (Korea, Republic of); Ko, P., E-mail: pko@kias.re.kr [School of Physics, Korea Institute for Advanced Study, Seoul 130-722 (Korea, Republic of); Li, Tianjun, E-mail: tli@itp.ac.cn [State Key Laboratory of Theoretical Physics and Kavli Institute for Theoretical Physics China (KITPC), Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190 (China); School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu 610054 (China); Liu, Yandong, E-mail: ydliu@itp.ac.cn [State Key Laboratory of Theoretical Physics and Kavli Institute for Theoretical Physics China (KITPC), Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190 (China)

    2015-03-06

    In the supersymmetric models with low scale supersymmetry (SUSY) breaking where the gravitino mass is around keV, we show that the 3.5 keV X-ray lines can be explained naturally through several different mechanisms: (I) a keV scale dark gaugino plays the role of sterile neutrino in the presence of bilinear R-parity violation. Because the light dark gaugino obtains Majorana mass only via gravity mediation, it is a decaying warm dark matter (DM) candidate; (II) the compressed cold DM states, whose mass degeneracy is broken by gravity mediated SUSY breaking, emit such a line via the heavier one decay into the lighter one plus photon(s). A highly supersymmetric dark sector may readily provide such kind of system; (III) the light axino, whose mass again is around the gravitino mass, decays to neutrino plus gamma in the R-parity violating SUSY. Moreover, we comment on dark radiation from dark gaugino.

  16. Supermathematics and its applications in statistical physics Grassmann variables and the method of supersymmetry

    CERN Document Server

    Wegner, Franz

    2016-01-01

    This text presents the mathematical concepts of Grassmann variables and the method of supersymmetry to a broad audience of physicists interested in applying these tools to disordered and critical systems, as well as related topics in statistical physics. Based on many courses and seminars held by the author, one of the pioneers in this field, the reader is given a systematic and tutorial introduction to the subject matter. The algebra and analysis of Grassmann variables is presented in part I. The mathematics of these variables is applied to a random matrix model, path integrals for fermions, dimer models and the Ising model in two dimensions. Supermathematics - the use of commuting and anticommuting variables on an equal footing - is the subject of part II. The properties of supervectors and supermatrices, which contain both commuting and Grassmann components, are treated in great detail, including the derivation of integral theorems. In part III, supersymmetric physical models are considered. While supersym...

  17. Gravitinos and hidden supersymmetry at the LHC

    Energy Technology Data Exchange (ETDEWEB)

    Bobrovskyi, Sergei

    2012-08-15

    We investigate phenomenological consequences of locally supersymmetric extensions of the Standard Model consistent with primordial nucleosynthesis, leptogenesis and dark matter constraints. An unequivocal prediction of local supersymmetry is the existence of the gravitino, the spin-3/2 superpartner of the graviton. Due to its extremely weak couplings, decays involving the gravitino in the initial or the final state may cause problems in the early universe. One class of models solving the gravitino problem makes the gravitino either the heaviest or the lightest supersymmetric particle (LSP), while predicting a higgsino-like neutralino as the LSP or the next-to-lightest superparticle (NLSP), respectively. In both cases the LHC phenomenology is determined by the higgsino states. The mass degeneracy between the charged and neutral states, together with very heavy colored states, prevent an early discovery at the LHC, especially if one demands a lightest Higgs mass compatible with the recent LHC signal excess. Another class of models, in which the gravitino is also a dark matter candidate, introduces a small violation of R-parity to render the cosmology consistent. In this case, the phenomenology at the LHC is determined by the R-parity violating decays of the NLSP which can be a bino-like or a higgsino-like neutralino or a stau. Using a novel approach to describing bilinear R-parity violation, we compute decay rates of the gravitino and the possible NLSP. Due to a connection between the gravitino and neutralino decay widths, we can predict the neutralino NLSP decay length at the LHC directly from the recent Fermi-LAT results for decaying dark matter searches. The decays of the NLSP in the detectors distort the missing transverse energy (MET) signature, which complicates the searches relying on it, while creating a new secondary vertex signature. We conclude that for gluino and squark masses accessible at the LHC, searches based on secondary vertices can probe values of

  18. Intertwining operator method and supersymmetry for effective mass Schroedinger equations

    Energy Technology Data Exchange (ETDEWEB)

    Suzko, A.A. [Joint Institute for Nuclear Research, 141980 Dubna (Russian Federation); JIPENP, National Academy of Sciences of Belarus, Minsk (Belarus)], E-mail: suzko@cv.jinr.ru; Schulze-Halberg, A. [Mathematics Department, University of Colima, Bernal Diaz del Castillo 340, Colima 28045 (Mexico)], E-mail: xbat@ucol.mx

    2008-09-08

    By application of the intertwining operator method to Schroedinger equations with position-dependent (effective) mass, we construct Darboux transformations, establish the supersymmetry factorization technique and show equivalence of both formalisms. Our findings prove equivalence of the intertwining technique and the method of point transformations.

  19. N=4 supersymmetry on a space-time lattice

    DEFF Research Database (Denmark)

    Catterall, Simon; Schaich, David; Damgaard, Poul H.

    2014-01-01

    Maximally supersymmetric Yang–Mills theory in four dimensions can be formulated on a space-time lattice while exactly preserving a single supersymmetry. Here we explore in detail this lattice theory, paying particular attention to its strongly coupled regime. Targeting a theory with gauge group SU...

  20. Supersymmetry : the ultimate hierarchy of matter ? Conference MT17

    CERN Multimedia

    2001-01-01

    The concept of "Supersymmetry", SUSY for short, promises a solution to the hierarchy problem. SUSY enlarges the space-time symmetry of physical laws, by connecting the realms of particles and fields. It predicts a variety of new species of particles at the energy scale around 1 TeV - waiting to be discovered at the LHC.

  1. Supersymmetry status and phenomenology at the Large Hadron Collider

    Indian Academy of Sciences (India)

    Alexander Belyaev

    2009-01-01

    Large Hadron Collider (LHC) has a great chance to finally reveal supersymmetry which remains a compelling theory for over 30 years in spite of lack of its discovery. It might be around the corner the present LHC era with sensitive dark matter search experiments and international linear collider hopefully coming up in the near future.

  2. BPS black holes, supersymmetry and orbits of exceptional groups

    CERN Document Server

    Ferrara, Sergio

    1999-01-01

    We report on duality invariant constraints, which allow a classification of BPS black holes preserving different fractions of supersymmetry. We then relate this analysis to the orbits of the exceptional groups $E_{6(6)}, E_{7(7)}$, relevant for black holes in five and four dimensions.

  3. Tasting the SU(5) nature of supersymmetry at the LHC

    Energy Technology Data Exchange (ETDEWEB)

    Fichet, Sylvain [ICTP South American Institute for Fundamental Research, Instituto de Fisica Teorica,São Paulo State University,São Paulo (Brazil); International Institute of Physics, UFRN,Av. Odilon Gomes de Lima, 1722 Capim Macio, 59078-400 Natal-RN (Brazil); Herrmann, Björn; Stoll, Yannick [LAPTh, Université de Savoie, CNRS,9 Chemin de Bellevue, B.P. 110, F-74941 Annecy-le-Vieux (France)

    2015-05-19

    We elaborate on a recently found SU(5) relation confined to the up-(s)quark flavour space, that remains immune to large quantum corrections up to the TeV scale. We investigate the possibilities opened by this new window on the GUT scale in order to find TeV-scale SU(5) tests realizable at the LHC. These SU(5) tests appear as relations among observables involving either flavour violation or chirality flip in the up-(s)quark sector. The power of these tests is systematically evaluated using a frequentist, p-value based criterion. SU(5) tests in the Heavy supersymmetry (SUSY), Natural supersymmetry and Top-charm supersymmetry spectra are investigated. The latter scenario features light stops and scharms and is well-motivated from various five-dimensional constructions. A variety of SU(5) tests is obtained, involving techniques of top polarimetry, charm-tagging, or Higgs detection from SUSY cascade decays. We find that O(10) to O(100) events are needed to obtain 50% of relative precision at 3σ significance for all of these tests. In addition, we propose a set of precision measurements in ultraperipheral collisions in order to search for the flavour-changing dipole operators of Heavy supersymmetry.

  4. On Action Invariance under Linear Spinor-Vector Supersymmetry

    Directory of Open Access Journals (Sweden)

    Kazunari Shima

    2006-01-01

    Full Text Available We show explicitly that a free Lagrangian expressed in terms of scalar, spinor, vector and Rarita-Schwinger (RS fields is invariant under linear supersymmetry transformations generated by a global spinor-vector parameter. A (generalized gauge invariance of the Lagrangian for the RS field is also discussed.

  5. Tera Scale Remnants of Unification and Supersymmetry at Planck Scale

    CERN Document Server

    Kawamura, Yoshiharu

    2013-01-01

    We predict new particles at the Tera scale based on the assumptions that the standard model gauge interactions are unified around the gravitational scale with a big desert and new particles originate from hypermultiplets as remnants of supersymmetry, and propose a theoretical framework at the Tera scale and beyond, that has predictability.

  6. Extremal projectors for contragredient Lie (super)symmetries (short review)

    CERN Document Server

    Tolstoy, V N

    2010-01-01

    A brief review of the extremal projectors for contragredient Lie (super)symmetries (finite-dimensional simple Lie algebras, basic classical Lie superalgebras, infinite-dimensional affine Kac-Moody algebras and superalgebras, as well as their quantum $q$-analogs) is given. Some bibliographic comments on the applications of extremal projectors are presented.

  7. Supersymmetry and Branes in M-theory Plane-waves

    CERN Document Server

    Kim, N; Kim, Nakwoo; Yee, Jung-Tay

    2003-01-01

    We study brane embeddings in M-theory plane-waves and their supersymmetry. The relation with branes in AdS backgrounds via the Penrose limit is also explored. Longitudinal planar branes are originated from AdS branes while giant gravitons of AdS spaces become spherical branes which are realized as fuzzy spheres in the massive matrix theory.

  8. Supersymmetry : the ultimate hierarchy of matter? Exhibition LEPFest 2000

    CERN Multimedia

    2000-01-01

    The concept of "Supersymmetry", SUSY for short, promises a solution to the 'hierarchy' problem: the mystery of the enormous ratio between the electroweak scale (at 100-300 GeV), defined by the masses of the W and Z particles, and possibly the Higgs particle, and the Planck scale (10 19 GeV), when gravitational effects become comparable to the other forces.

  9. Unbroken supersymmetry in the Aharonov-Casher effect

    CERN Document Server

    Bruce, S A

    1999-01-01

    We consider the problem of the bound states of a spin 1/2 chargless particle in a given Aharonov-Casher configuration. To this end we recast the description of the system in a supersymmetric form. Then the basic physical requirements for unbroken supersymmetry are established. We comment on the possibility of neutron confinement in this system.

  10. Spectrum of elementary particles in a model of hadron supersymmetry

    CERN Document Server

    Kiyanov-Charsky, S A

    1995-01-01

    We investigate a spectrum of the low-energy composite particles with the quantum numbers J^p=0^\\pm,\\frac {1}{2}^\\pm in a SU_{F}(3) model of hadron supersymmetry. We derive the mass spectrum of two, three and four-quark states and determine all free parameters of a theory, including the masses of quarks and diquarks.

  11. Testing Times for Supersymmetry: Looking Under the Lamp Post

    CERN Document Server

    Dighe, Amol; Patel, Ketan M; Raychaudhuri, Sreerup

    2013-01-01

    We make a critical study of two highly-constrained models of supersymmetry --- the constrained minimal supersymmetric standard model (cMSSM), and the non-universal Higgs mass model (NUHM) --- in the light of the 125-126 GeV Higgs boson, the first observation of $B_s \\to \\mu\\mu$ at the LHCb, and the updated $B \\to \\tau \

  12. Collider Interplay for Supersymmetry, Higgs and Dark Matter

    CERN Document Server

    Buchmueller, O; Ellis, J; Guha, S; Marrouche, J; Olive, K A; de Vries, K; Zheng, Jiaming

    2015-01-01

    We discuss the potential impacts on the CMSSM of future LHC runs and possible electron-positron and higher-energy proton-proton colliders, considering searches for supersymmetry via MET events, precision electroweak physics, Higgs measurements and dark matter searches. We validate and present estimates of the physics reach for exclusion or discovery of supersymmetry via MET searches at the LHC, which should cover the low-mass regions of the CMSSM parameter space favoured in a recent global analysis. As we illustrate with a low-mass benchmark point, a discovery would make possible accurate LHC measurements of sparticle masses using the MT2 variable, which could be combined with cross-section and other measurements to constrain the gluino, squark and stop masses and hence the soft supersymmetry-breaking parameters m_0, m_{1/2} and A_0 of the CMSSM. Slepton measurements at CLIC would enable m_0 and m_{1/2} to be determined with high precision. If supersymmetry is indeed discovered in the low-mass region, precisi...

  13. Bulk gauge fields in warped space and localized supersymmetry breaking

    Energy Technology Data Exchange (ETDEWEB)

    Chacko, Z.; Ponton, Eduardo

    2003-11-01

    We consider five dimensional supersymmetric warped scenarios in which the Standard Model quark and lepton fields are localized on the ultraviolet brane, while the Standard Model gauge fields propagate in the bulk. Supersymmetry is assumed to be broken on the infrared brane. The relative sizes of supersymmetry breaking effects are found to depend on the hierarchy between the infrared scale and the weak scale. If the infrared scale is much larger than the weak scale the leading supersymmetry breaking effect on the visible brane is given by gaugino mediation. The gaugino masses at the weak scale are proportional to the square of the corresponding gauge coupling, while the dominant contribution to the scalar masses arises from logarithmically enhanced radiative effects involving the gaugino mass that are cutoff at the infrared scale. While the LSP is the gravitino, the NLSP which is the stau is stable on collider time scales. If however the infrared scale is close to the weak scale then the effects of hard supersymmetry breaking operators on the scalar masses can become comparable to those from gaugino mediation. These operators alter the relative strengths of the couplings of gauge bosons and gauginos to matter, and give loop contributions to the scalar masses that are also cutoff at the infrared scale. The gaugino masses, while exhibiting a more complicated dependence on the corresponding gauge coupling, remain hierarchical and become proportional to the corresponding gauge coupling in the limit of strong supersymmetry breaking. The scalar masses are finite and a loop factor smaller than the gaugino masses. The LSP remains the gravitino.

  14. Quiver Varieties with Multiplicities, Weyl Groups of Non-Symmetric Kac-Moody Algebras, and Painlevé Equations

    Directory of Open Access Journals (Sweden)

    Daisuke Yamakawa

    2010-10-01

    Full Text Available To a finite quiver equipped with a positive integer on each of its vertices, we associate a holomorphic symplectic manifold having some parameters. This coincides with Nakajima's quiver variety with no stability parameter/framing if the integers attached on the vertices are all equal to one. The construction of reflection functors for quiver varieties are generalized to our case, in which these relate to simple reflections in the Weyl group of some symmetrizable, possibly non-symmetric Kac-Moody algebra. The moduli spaces of meromorphic connections on the rank 2 trivial bundle over the Riemann sphere are described as our manifolds. In our picture, the list of Dynkin diagrams for Painlevé equations is slightly different from (but equivalent to Okamoto's.

  15. Painlevé analysis of the coupled nonlinear Schrödinger equation for polarized optical waves in an isotropic medium

    CERN Document Server

    Park, Q H

    1999-01-01

    Using the Painlevé analysis, we investigate the integrability properties of a system of two coupled nonlinear Schrödinger equations that describe the propagation of orthogonally polarized optical waves in an isotropic medium. Besides the well-known integrable vector nonlinear Schrödinger equation, we show that there exist a new set of equations passing the Painlevé test where the self and cross phase modulational terms are of different magnitude. We introduce the Hirota bilinearization and the Bãcklund transformation to obtain soliton solutions and prove integrability by making a change of variables. The conditions on the third-order susceptibility tensor $\\chi^{(3)} $ imposed by these new integrable equations are explained.

  16. On a revisit to the Painlevé test for integrability and exact solutions for Yang's self-dual equations for (2) gauge fields

    Indian Academy of Sciences (India)

    Susanto Chakraborty; Pranab Krishna Chanda

    2006-06-01

    Painlevé test (Jimbo et al [1]) for integrability for the Yang's self-dual equations for (2) gauge fields has been revisited. Jimbo et al analysed the complex form of the equations with a rather restricted form of singularity manifold. They did not discuss exact solutions in that context. Here the analysis has been done starting from the real form of the same equations and keeping the singularity manifold completely general in nature. It has been found that the equations, in real form, pass the Painlevé test for integrability. The truncation procedure of the same analysis leads to non-trivial exact solutions obtained previously and auto-Backlund transformation between two pairs of those solutions.

  17. Painleve Analysis, Soliton Solutions and B(a)cklund Transformation for Extended (2 + 1)-Dimensional Konopelchenko-Dubrovsky Equations in Fluid Mechanics via Symbolic Computation

    Institute of Scientific and Technical Information of China (English)

    XU Peng-Bo; GAO Yi-Tian; YU Xin; WANG Lei; LIN Guo-Dong

    2011-01-01

    This paper is to investigate the extended (2+1)-dimensional Konopelchenko-Dubrovsky equations, which can be applied to describing certain phenomena in the stratified shear flow, the internal and shallow-water waves,plasmas and other fields. Painlevé analysis is passed through via symbolic computation. Bilinear-form equations are constructed and soliton solutions are derived. Soliton solutions and interactions are illustrated. Bilinear-form B(a)cklund transformation and a type of solutions are obtained.

  18. Painlevé test for integrability and exact solutions for the field equations for Charap's chiral invariant model of the pion dynamics

    Indian Academy of Sciences (India)

    Susanto Chakraborty; Pranab Krishna Chanda

    2006-06-01

    It has been shown that the field equations for Charap's chiral invariant model of the pion dynamics pass the Painlevé test for complete integrability in the sense of Weiss et al. The truncation procedure of the same analysis leads to auto-Backlund transformation between two pairs of solutions. With the help of this transformation non-trivial exact solutions have been rediscovered.

  19. Extracting Supersymmetry-Breaking Effects from Wave-Function Renormalization

    CERN Document Server

    Giudice, Gian Francesco

    1998-01-01

    We show that in theories in which supersymmetry breaking is communicated by renormalizable perturbative interactions, it is possible to extract the soft terms for the observable fields from wave-function renormalization. Therefore all the information about soft terms can be obtained from anomalous dimensions and beta functions, with no need to further compute any Feynman diagram. This method greatly simplifies calculations which are rather involved if performed in terms of component fields. For illustrative purposes we reproduce known results of theories with gauge-mediated supersymmetry breaking. We then use our method to obtain new results of phenomenological importance. We calculate the next-to-leading correction to the Higgs mass parameters, the two-loop soft terms induced by messenger-matter superpotential couplings, and the soft terms generated by messengers belonging to vector supermultiplets.

  20. A Gravity Dual of Metastable Dynamical Supersymmetry Breaking

    CERN Document Server

    DeWolfe, Oliver; Mulligan, Michael

    2008-01-01

    Metastable, supersymmetry-breaking configurations can be created in flux geometries by placing antibranes in warped throats. Via gauge/gravity duality, such configurations should have an interpretation as supersymmetry-breaking states in the dual field theory. In this paper, we perturbatively determine the asymptotic supergravity solutions corresponding to anti-D3-brane probes placed at the tip of the cascading warped deformed conifold geometry, which is dual to an SU(N+M) x SU(N) gauge theory. The backreaction of the antibranes has the effect of introducing imaginary anti-self-dual flux, squashing the compact part of the space and forcing the dilaton to run. Using the generalization of holographic renormalization to cascading geometries, we determine the expectation values of operators in the dual field theory in terms of the asymptotic values of the supergravity fields.

  1. Primordial Black Holes from Supersymmetry in the Early Universe

    Science.gov (United States)

    Cotner, Eric; Kusenko, Alexander

    2017-07-01

    Supersymmetric extensions of the standard model generically predict that in the early Universe a scalar condensate can form and fragment into Q balls before decaying. If the Q balls dominate the energy density for some period of time, the relatively large fluctuations in their number density can lead to formation of primordial black holes (PBH). Other scalar fields, unrelated to supersymmetry, can play a similar role. For a general charged scalar field, this robust mechanism can generate black holes over the entire mass range allowed by observational constraints, with a sufficient abundance to account for all dark matter in some parameter ranges. In the case of supersymmetry the mass range is limited from above by 1 023 g . We also comment on the role that topological defects can play for PBH formation in a similar fashion.

  2. Emergent gauge theories and supersymmetry: a QED primer

    CERN Document Server

    Chkareuli, J L

    2013-01-01

    It is well known that spontaneous Lorentz invariance violation (SLIV) in general vector field theories may lead to an appearance of massless Nambu-Goldstone modes which are identified with photons and other gauge fields in the Standard Model. Nonetheless, it may turn out that SLIV is not the only reason for emergent massless photons to appear if spacetime symmetry is further enlarged. In this connection, a special link may be related to supersymmetry that we try to illustrate in this note by the supersymmetric QED example. We argue that a generic source for massless photons could be spontaneously broken supersymmetry rather than physically manifested SLIV. We consider supersymmetric QED model extended by an arbitrary polynomial potential of massive vector superfield that induces the spontaneous SUSY violation in the visible sector. As a consequence, massless photon emerges as a companion of massless photino which is in fact the Goldstone fermion state in the tree approximation. However, being mixed with anoth...

  3. A New Venue of Spontaneous Supersymmetry Breaking in Supergravity

    CERN Document Server

    Guendelman, Eduardo; Pacheva, Svetlana; Vasihoun, Mahary

    2015-01-01

    We present a qualitatively new mechanism for dynamical spontaneous breakdown of supersymmetry in supergravity. Specifically, we construct a modified formulation of standard minimal N=1 supergravity as well as of anti-de Sitter supergravity in terms of a non-Riemannian spacetime volume-form (generally covariant integration measure density). The new supergravity formalism naturally triggers the appearance of a dynamically generated cosmological constant as an arbitrary integration constant which signifies spontaneous (dynamical) breaking of supersymmetry. Applying the new formalism to anti-de Sitter supergravity allows us to appropriately choose the above mentioned arbitrary integration constant so as to obtain simultaneously a very small effective observable cosmological constant as well as a large physical gravitino mass as required by modern cosmological scenarios for slowly expanding universe of the present epoch.

  4. Note on moduli stabilization, supersymmetry breaking and axiverse

    Energy Technology Data Exchange (ETDEWEB)

    Higaki, Tetsutaro [Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany); Kobayashi, Tatsuo [Kyoto Univ. (Japan). Dept. of Physics

    2011-06-15

    We study properties of moduli stabilization in the four dimensional N=1 supergravity theory with heavy moduli and would-be saxion-axion multiplets including light string-theoretic axions. We give general formulation for the scenario that heavy moduli and saxions are stabilized while axions remain light, assuming that moduli are stabilized near the supersymmetric solution. One can find stable vacuum, i.e. nontachyonic saxions, in the non-supersymmetric Minkowski vacua. We also discuss the cases, where the moduli are coupled to the supersymmetry breaking sector and/or moduli have contributions to supersymmetry breaking. Furthermore we study the models with axions originating from matter-like fields. Our analysis on moduli stabilization is applicable even if there are not light axion multiplets. (orig.)

  5. A Model of Direct Gauge Mediation of Supersymmetry Breaking

    Energy Technology Data Exchange (ETDEWEB)

    Murayama, H. [Theoretical Physics Group, Lawrence Berkeley National Laboratory, Berkeley, California 94720 (United States)]|[Department of Physics, University of California, Berkeley, California 94720 (United States)

    1997-07-01

    We present the first phenomenologically viable model of gauge meditation of supersymmetry breaking without a messenger sector or gauge singlet fields. The standard model gauge groups couple directly to the sector which breaks supersymmetry dynamically. Despite the direct coupling, it can preserve perturbative gauge unification thanks to the inverted hierarchy mechanism. There is no dangerous negative contribution to m{sup 2}{sub {tilde q}} , m{sup 2}{sub {tilde l}} due to two-loop renormalization group equation. The potentially nonuniversal supergravity contribution to m{sup 2}{sub {tilde q}} and m{sup 2}{sub {tilde l}} can be suppressed enough. The model is completely chiral, and one does not need to forbid mass terms for the messenger fields by hand. Cosmology of the model is briefly discussed. {copyright} {ital 1997} {ital The American Physical Society}

  6. Interpretation of searches for supersymmetry with simplified models

    Science.gov (United States)

    Chatrchyan, S.; Khachatryan, V.; Sirunyan, A. M.; Tumasyan, A.; Adam, W.; Aguilo, E.; Bergauer, T.; Dragicevic, M.; Erö, J.; Fabjan, C.; Friedl, M.; Frühwirth, R.; Ghete, V. M.; Hörmann, N.; Hrubec, J.; Jeitler, M.; Kiesenhofer, W.; Knünz, V.; Krammer, M.; Krätschmer, I.; Liko, D.; Mikulec, I.; Pernicka, M.; Rabady, D.; Rahbaran, B.; Rohringer, C.; Rohringer, H.; Schöfbeck, R.; Strauss, J.; Taurok, A.; Waltenberger, W.; Wulz, C.-E.; Mossolov, V.; Shumeiko, N.; Suarez Gonzalez, J.; Bansal, M.; Bansal, S.; Cornelis, T.; De Wolf, E. A.; Janssen, X.; Luyckx, S.; Mucibello, L.; Ochesanu, S.; Roland, B.; Rougny, R.; Selvaggi, M.; Van Haevermaet, H.; Van Mechelen, P.; Van Remortel, N.; Van Spilbeeck, A.; Blekman, F.; Blyweert, S.; D'Hondt, J.; Gonzalez Suarez, R.; Kalogeropoulos, A.; Maes, M.; Olbrechts, A.; Van Doninck, W.; Van Mulders, P.; Van Onsem, G. P.; Villella, I.; Clerbaux, B.; De Lentdecker, G.; Dero, V.; Gay, A. P. R.; Hreus, T.; Léonard, A.; Marage, P. E.; Mohammadi, A.; Reis, T.; Thomas, L.; Vander Velde, C.; Vanlaer, P.; Wang, J.; Adler, V.; Beernaert, K.; Cimmino, A.; Costantini, S.; Garcia, G.; Grunewald, M.; Klein, B.; Lellouch, J.; Marinov, A.; Mccartin, J.; Ocampo Rios, A. A.; Ryckbosch, D.; Strobbe, N.; Thyssen, F.; Tytgat, M.; Walsh, S.; Yazgan, E.; Zaganidis, N.; Basegmez, S.; Bruno, G.; Castello, R.; Ceard, L.; Delaere, C.; du Pree, T.; Favart, D.; Forthomme, L.; Giammanco, A.; Hollar, J.; Lemaitre, V.; Liao, J.; Militaru, O.; Nuttens, C.; Pagano, D.; Pin, A.; Piotrzkowski, K.; Vizan Garcia, J. M.; Beliy, N.; Caebergs, T.; Daubie, E.; Hammad, G. H.; Alves, G. A.; Correa Martins Junior, M.; Martins, T.; Pol, M. E.; Souza, M. H. G.; Aldá Júnior, W. L.; Carvalho, W.; Custódio, A.; Da Costa, E. M.; De Jesus Damiao, D.; De Oliveira Martins, C.; Fonseca De Souza, S.; Malbouisson, H.; Malek, M.; Matos Figueiredo, D.; Mundim, L.; Nogima, H.; Prado Da Silva, W. L.; Santoro, A.; Soares Jorge, L.; Sznajder, A.; Vilela Pereira, A.; Anjos, T. S.; Bernardes, C. A.; Dias, F. A.; Fernandez Perez Tomei, T. R.; Gregores, E. M.; Lagana, C.; Marinho, F.; Mercadante, P. G.; Novaes, S. F.; Padula, Sandra S.; Genchev, V.; Iaydjiev, P.; Piperov, S.; Rodozov, M.; Stoykova, S.; Sultanov, G.; Tcholakov, V.; Trayanov, R.; Vutova, M.; Dimitrov, A.; Hadjiiska, R.; Kozhuharov, V.; Litov, L.; Pavlov, B.; Petkov, P.; Bian, J. G.; Chen, G. M.; Chen, H. S.; Jiang, C. H.; Liang, D.; Liang, S.; Meng, X.; Tao, J.; Wang, J.; Wang, X.; Wang, Z.; Xiao, H.; Xu, M.; Zang, J.; Zhang, Z.; Asawatangtrakuldee, C.; Ban, Y.; Guo, Y.; Li, W.; Liu, S.; Mao, Y.; Qian, S. J.; Teng, H.; Wang, D.; Zhang, L.; Zou, W.; Avila, C.; Gomez, J. P.; Gomez Moreno, B.; Osorio Oliveros, A. F.; Sanabria, J. C.; Godinovic, N.; Lelas, D.; Plestina, R.; Polic, D.; Puljak, I.; Antunovic, Z.; Kovac, M.; Brigljevic, V.; Duric, S.; Kadija, K.; Luetic, J.; Mekterovic, D.; Morovic, S.; Attikis, A.; Galanti, M.; Mavromanolakis, G.; Mousa, J.; Nicolaou, C.; Ptochos, F.; Razis, P. A.; Finger, M.; Finger, M., Jr.; Assran, Y.; Elgammal, S.; Ellithi Kamel, A.; Mahmoud, M. A.; Mahrous, A.; Radi, A.; Kadastik, M.; Müntel, M.; Raidal, M.; Rebane, L.; Tiko, A.; Eerola, P.; Fedi, G.; Voutilainen, M.; Härkönen, J.; Heikkinen, A.; Karimäki, V.; Kinnunen, R.; Kortelainen, M. J.; Lampén, T.; Lassila-Perini, K.; Lehti, S.; Lindén, T.; Luukka, P.; Mäenpää, T.; Peltola, T.; Tuominen, E.; Tuominiemi, J.; Tuovinen, E.; Ungaro, D.; Wendland, L.; Banzuzi, K.; Karjalainen, A.; Korpela, A.; Tuuva, T.; Besancon, M.; Choudhury, S.; Dejardin, M.; Denegri, D.; Fabbro, B.; Faure, J. L.; Ferri, F.; Ganjour, S.; Givernaud, A.; Gras, P.; Hamel de Monchenault, G.; Jarry, P.; Locci, E.; Malcles, J.; Millischer, L.; Nayak, A.; Rander, J.; Rosowsky, A.; Titov, M.; Baffioni, S.; Beaudette, F.; Benhabib, L.; Bianchini, L.; Bluj, M.; Busson, P.; Charlot, C.; Daci, N.; Dahms, T.; Dalchenko, M.; Dobrzynski, L.; Florent, A.; Granier de Cassagnac, R.; Haguenauer, M.; Miné, P.; Mironov, C.; Naranjo, I. N.; Nguyen, M.; Ochando, C.; Paganini, P.; Sabes, D.; Salerno, R.; Sirois, Y.; Veelken, C.; Zabi, A.; Agram, J.-L.; Andrea, J.; Bloch, D.; Bodin, D.; Brom, J.-M.; Cardaci, M.; Chabert, E. C.; Collard, C.; Conte, E.; Drouhin, F.; Fontaine, J.-C.; Gelé, D.; Goerlach, U.; Juillot, P.; Le Bihan, A.-C.; Van Hove, P.; Fassi, F.; Mercier, D.; Beauceron, S.; Beaupere, N.; Bondu, O.; Boudoul, G.; Brochet, S.; Chasserat, J.; Chierici, R.; Contardo, D.; Depasse, P.; El Mamouni, H.; Fay, J.; Gascon, S.; Gouzevitch, M.; Ille, B.; Kurca, T.; Lethuillier, M.; Mirabito, L.; Perries, S.; Sgandurra, L.; Sordini, V.; Tschudi, Y.; Verdier, P.; Viret, S.; Tsamalaidze, Z.; Autermann, C.; Beranek, S.; Calpas, B.; Edelhoff, M.; Feld, L.; Heracleous, N.; Hindrichs, O.; Jussen, R.; Klein, K.; Merz, J.

    2013-09-01

    The results of searches for supersymmetry by the CMS experiment are interpreted in the framework of simplified models. The results are based on data corresponding to an integrated luminosity of 4.73 to 4.98fb-1. The data were collected at the LHC in proton-proton collisions at a center-of-mass energy of 7 TeV. This paper describes the method of interpretation and provides upper limits on the product of the production cross section and branching fraction as a function of new particle masses for a number of simplified models. These limits and the corresponding experimental acceptance calculations can be used to constrain other theoretical models and to compare different supersymmetry-inspired analyses.

  7. Naturalizing supersymmetry with a two-field relaxion mechanism

    Science.gov (United States)

    Evans, Jason L.; Gherghetta, Tony; Nagata, Natsumi; Thomas, Zachary

    2016-09-01

    We present a supersymmetric version of a two-field relaxion model that naturalizes tuned versions of supersymmetry. This arises from a relaxion mechanism that does not depend on QCD dynamics and where the relaxion potential barrier height is controlled by a second axion-like field. During the cosmological evolution, the relaxion rolls with a nonzero value that breaks supersymmetry and scans the soft supersymmetric mass terms. Electroweak symmetry is broken after the soft masses become of order the supersymmetric Higgs mass term and causes the relaxion to stop rolling for superpartner masses up to ˜ 109 GeV. This can explain the tuning in supersymmetric models, including split-SUSY models, while preserving the QCD axion solution to the strong CP problem. Besides predicting two very weakly-coupled axion-like particles, the supersymmetric spectrum may contain an extra Goldstino, which could be a viable dark matter candidate.

  8. Supersymmetry reviewed from the past to the future

    CERN Document Server

    Louis, J

    2003-01-01

    The DESY laboratory in Hamburg, Germany, hosted the 10th International Conference on Supersymmetry and Unification of Fundamental Interactions (SUSY02) in June 2002, providing a forum for discussing the present status and future developments of supersymmetry (SUSY). In the week-long meeting organized by Pran Nath of Northeastern University, US, and Peter Zerwas of DESY - theoretical ideas, analyses of experimental data, the expectations for physics at CERN's Large Hadron Collider (LHC) and the proposed tera-electronvolt range electron-positron linear colliders were on the agenda. A lively and exciting atmosphere prevailed, with established practitioners exchanging standard and not-so-standard views on the evolution of particle physics with enthusiastic youngsters. The excitement had its roots in the fascinating prospect of addressing fundamental problems of physics in the new generation of accelerators, and in the well-founded hope of hearing about long- awaited breakthroughs that would answer many of the out...

  9. Strongly Coupled Semi-Direct Mediation of Supersymmetry Breaking

    Energy Technology Data Exchange (ETDEWEB)

    Ibe, M.; /SLAC; Izawa, K.-I.; /Kyoto U., Yukawa Inst., Kyoto /Tokyo U., IPMU; Nakai, Y.; /Kyoto U., Yukawa Inst., Kyoto

    2011-09-13

    Supersymmetry (SUSY) is expected to be a crucial ingredient of basic laws in Nature. It is an attractive possibility that SUSY is broken at low energy within the experimental reach in the near future. Among others, low-energy dynamics with gauge mediation between a hidden sector of SUSY breaking and the visible sector of SUSY standard model may be phenomenologically viable. In particular, the gauge interactions are flavor blind, so that the unwanted flavor-changing processes are naturally suppressed. Strongly coupled semi-direct gauge mediation models of supersymmetry breaking through massive mediators with standard model charges are investigated by means of composite degrees of freedom. Sizable mediation is realized to generate the standard model gaugino masses for a small mediator mass without breaking the standard model symmetries.

  10. Black holes in an expanding universe and supersymmetry

    Directory of Open Access Journals (Sweden)

    Dietmar Klemm

    2016-02-01

    Full Text Available This paper analyzes the supersymmetric solutions to five and six-dimensional minimal (ungauged supergravities for which the bilinear Killing vector constructed from the Killing spinor is null. We focus on the spacetimes which admit an additional SO(1,1 boost symmetry. Upon the toroidal dimensional reduction along the Killing vector corresponding to the boost, we show that the solution in the ungauged case describes a charged, nonextremal black hole in a Friedmann–Lemaître–Robertson–Walker (FLRW universe with an expansion driven by a massless scalar field. For the gauged case, the solution corresponds to a charged, nonextremal black hole embedded conformally into a Kantowski–Sachs universe. It turns out that these dimensional reductions break supersymmetry since the bilinear Killing vector and the Killing vector corresponding to the boost fail to commute. This represents a new mechanism of supersymmetry breaking that has not been considered in the literature before.

  11. Searches for R-parity-violating supersymmetry at colliders

    CERN Document Server

    Sirois, Y

    2000-01-01

    The search for R-parity-violating supersymmetry at existing colliders is reviewed with emphasis on the sensitivity to the new Yukawa couplings lambda , lambda ' (inducing lepton-number-violating interactions) and lambda " (inducing baryon-number-violating interactions). One dramatic consequence of the existence any such nonvanishing coupling is the instability of supersymmetric matter. The extent to which this affects the sensitivity to other free parameters of minimal supersymmetric models has been extensively studied at LEP and is briefly reviewed. Given that supersymmetric matter has not been observed yet, and since its existence still cannot be ruled out, we concentrate here on the important question of a possible "discovery" of supersymmetry (if it exists) through the R- parity-violating couplings. The case of resonant production of sleptons via lambda ' and squarks via lambda " at the Tevatron, as well as the case of resonant production of sneutrinos at LEP involving lambda , is briefly discussed. A par...

  12. A Gravity Dual of Metastable Dynamical Supersymmetry Breaking

    Energy Technology Data Exchange (ETDEWEB)

    DeWolfe, Oliver; /Colorado U.; Kachru, Shamit; Mulligan, Michael; /Stanford U., Phys. Dept. /SLAC

    2008-02-04

    Metastable, supersymmetry-breaking configurations can be created in flux geometries by placing antibranes in warped throats. Via gauge/gravity duality, such configurations should have an interpretation as supersymmetry-breaking states in the dual field theory. In this paper, we perturbatively determine the asymptotic supergravity solutions corresponding to D3-brane probes placed at the tip of the cascading warped deformed conifold geometry, which is dual to an SU(N+M) x SU(N) gauge theory. The backreaction of the antibranes has the effect of introducing imaginary anti-self-dual flux, squashing the compact part of the space and forcing the dilaton to run. Using the generalization of holographic renormalization to cascading geometries, we determine the expectation values of operators in the dual field theory in terms of the asymptotic values of the supergravity fields.

  13. Primordial Black Holes from Supersymmetry in the Early Universe.

    Science.gov (United States)

    Cotner, Eric; Kusenko, Alexander

    2017-07-21

    Supersymmetric extensions of the standard model generically predict that in the early Universe a scalar condensate can form and fragment into Q balls before decaying. If the Q balls dominate the energy density for some period of time, the relatively large fluctuations in their number density can lead to formation of primordial black holes (PBH). Other scalar fields, unrelated to supersymmetry, can play a similar role. For a general charged scalar field, this robust mechanism can generate black holes over the entire mass range allowed by observational constraints, with a sufficient abundance to account for all dark matter in some parameter ranges. In the case of supersymmetry the mass range is limited from above by 10^{23}  g. We also comment on the role that topological defects can play for PBH formation in a similar fashion.

  14. Optical Conductivity of Topological Surface States with Emergent Supersymmetry

    Science.gov (United States)

    Witczak-Krempa, William; Maciejko, Joseph

    2016-03-01

    Topological states of electrons present new avenues to explore the rich phenomenology of correlated quantum matter. Topological insulators (TIs) in particular offer an experimental setting to study novel quantum critical points (QCPs) of massless Dirac fermions, which exist on the sample's surface. Here, we obtain exact results for the zero- and finite-temperature optical conductivity at the semimetal-superconductor QCP for these topological surface states. This strongly interacting QCP is described by a scale invariant theory with emergent supersymmetry, which is a unique symmetry mixing bosons and fermions. We show that supersymmetry implies exact relations between the optical conductivity and two otherwise unrelated properties: the shear viscosity and the entanglement entropy. We discuss experimental considerations for the observation of these signatures in TIs.

  15. Dynamical supersymmetry breaking on magnetized tori and orbifolds

    Directory of Open Access Journals (Sweden)

    Hiroyuki Abe

    2016-10-01

    Full Text Available We construct several dynamical supersymmetry breaking (DSB models within a single ten-dimensional supersymmetric Yang–Mills (SYM theory, compactified on magnetized tori with or without orbifolding. We study the case that the supersymmetry breaking is triggered by a strong dynamics of SU(NC SYM theory with NF flavors contained in the four-dimensional effective theory. We show several configurations of magnetic fluxes and orbifolds, those potentially yield, below the compactification scale, the field contents and couplings required for triggering DSB. We especially find a class of self-complete DSB models on orbifolds, where all the extra fields are eliminated by the orbifold projection and DSB successfully occurs within the given framework. Comments on some perspectives for associating the obtained DSB models with the other sectors, such as the visible sector and another hidden sector for, e.g., stabilizing moduli, are also given.

  16. Interpretation of searches for supersymmetry with simplified models

    CERN Document Server

    Chatrchyan, Serguei; Sirunyan, Albert M; Tumasyan, Armen; Adam, Wolfgang; Aguilo, Ernest; Bergauer, Thomas; Dragicevic, Marko; Erö, Janos; Fabjan, Christian; Friedl, Markus; Fruehwirth, Rudolf; Ghete, Vasile Mihai; Hörmann, Natascha; Hrubec, Josef; Jeitler, Manfred; Kiesenhofer, Wolfgang; Knünz, Valentin; Krammer, Manfred; Krätschmer, Ilse; Liko, Dietrich; Mikulec, Ivan; Pernicka, Manfred; Rabady, Dinyar; Rahbaran, Babak; Rohringer, Christine; Rohringer, Herbert; Schöfbeck, Robert; Strauss, Josef; Taurok, Anton; Waltenberger, Wolfgang; Wulz, Claudia-Elisabeth; Mossolov, Vladimir; Shumeiko, Nikolai; Suarez Gonzalez, Juan; Bansal, Monika; Bansal, Sunil; Cornelis, Tom; De Wolf, Eddi A; Janssen, Xavier; Luyckx, Sten; Mucibello, Luca; Ochesanu, Silvia; Roland, Benoit; Rougny, Romain; Selvaggi, Michele; Van Haevermaet, Hans; Van Mechelen, Pierre; Van Remortel, Nick; Van Spilbeeck, Alex; Blekman, Freya; Blyweert, Stijn; D'Hondt, Jorgen; Gonzalez Suarez, Rebeca; Kalogeropoulos, Alexis; Maes, Michael; Olbrechts, Annik; Van Doninck, Walter; Van Mulders, Petra; Van Onsem, Gerrit Patrick; Villella, Ilaria; Clerbaux, Barbara; De Lentdecker, Gilles; Dero, Vincent; Gay, Arnaud; Hreus, Tomas; Léonard, Alexandre; Marage, Pierre Edouard; Mohammadi, Abdollah; Reis, Thomas; Thomas, Laurent; Vander Velde, Catherine; Vanlaer, Pascal; Wang, Jian; Adler, Volker; Beernaert, Kelly; Cimmino, Anna; Costantini, Silvia; Garcia, Guillaume; Grunewald, Martin; Klein, Benjamin; Lellouch, Jérémie; Marinov, Andrey; Mccartin, Joseph; Ocampo Rios, Alberto Andres; Ryckbosch, Dirk; Strobbe, Nadja; Thyssen, Filip; Tytgat, Michael; Walsh, Sinead; Yazgan, Efe; Zaganidis, Nicolas; Basegmez, Suzan; Bruno, Giacomo; Castello, Roberto; Ceard, Ludivine; Delaere, Christophe; Du Pree, Tristan; Favart, Denis; Forthomme, Laurent; Giammanco, Andrea; Hollar, Jonathan; Lemaitre, Vincent; Liao, Junhui; Militaru, Otilia; Nuttens, Claude; Pagano, Davide; Pin, Arnaud; Piotrzkowski, Krzysztof; Vizan Garcia, Jesus Manuel; Beliy, Nikita; Caebergs, Thierry; Daubie, Evelyne; Hammad, Gregory Habib; Alves, Gilvan; Correa Martins Junior, Marcos; Martins, Thiago; Pol, Maria Elena; Henrique Gomes E Souza, Moacyr; Aldá Júnior, Walter Luiz; Carvalho, Wagner; Custódio, Analu; Da Costa, Eliza Melo; De Jesus Damiao, Dilson; De Oliveira Martins, Carley; Fonseca De Souza, Sandro; Malbouisson, Helena; Malek, Magdalena; Matos Figueiredo, Diego; Mundim, Luiz; Nogima, Helio; Prado Da Silva, Wanda Lucia; Santoro, Alberto; Soares Jorge, Luana; Sznajder, Andre; Vilela Pereira, Antonio; Souza Dos Anjos, Tiago; Bernardes, Cesar Augusto; De Almeida Dias, Flavia; Tomei, Thiago; De Moraes Gregores, Eduardo; Lagana, Caio; Da Cunha Marinho, Franciole; Mercadante, Pedro G; Novaes, Sergio F; Padula, Sandra; Genchev, Vladimir; Iaydjiev, Plamen; Piperov, Stefan; Rodozov, Mircho; Stoykova, Stefka; Sultanov, Georgi; Tcholakov, Vanio; Trayanov, Rumen; Vutova, Mariana; Dimitrov, Anton; Hadjiiska, Roumyana; Kozhuharov, Venelin; Litov, Leander; Pavlov, Borislav; Petkov, Peicho; Bian, Jian-Guo; Chen, Guo-Ming; Chen, He-Sheng; Jiang, Chun-Hua; Liang, Dong; Liang, Song; Meng, Xiangwei; Tao, Junquan; Wang, Jian; Wang, Xianyou; Wang, Zheng; Xiao, Hong; Xu, Ming; Zang, Jingjing; Zhang, Zhen; Asawatangtrakuldee, Chayanit; Ban, Yong; Guo, Yifei; Li, Wenbo; Liu, Shuai; Mao, Yajun; Qian, Si-Jin; Teng, Haiyun; Wang, Dayong; Zhang, Linlin; Zou, Wei; Avila, Carlos; Gomez, Juan Pablo; Gomez Moreno, Bernardo; Osorio Oliveros, Andres Felipe; Sanabria, Juan Carlos; Godinovic, Nikola; Lelas, Damir; Plestina, Roko; Polic, Dunja; Puljak, Ivica; Antunovic, Zeljko; Kovac, Marko; Brigljevic, Vuko; Duric, Senka; Kadija, Kreso; Luetic, Jelena; Mekterovic, Darko; Morovic, Srecko; Attikis, Alexandros; Galanti, Mario; Mavromanolakis, Georgios; Mousa, Jehad; Nicolaou, Charalambos; Ptochos, Fotios; Razis, Panos A; Finger, Miroslav; Finger Jr, Michael; Assran, Yasser; Elgammal, Sherif; Ellithi Kamel, Ali; Mahmoud, Mohammed; Mahrous, Ayman; Radi, Amr; Kadastik, Mario; Müntel, Mait; Raidal, Martti; Rebane, Liis; Tiko, Andres; Eerola, Paula; Fedi, Giacomo; Voutilainen, Mikko; Härkönen, Jaakko; Heikkinen, Mika Aatos; Karimäki, Veikko; Kinnunen, Ritva; Kortelainen, Matti J; Lampén, Tapio; Lassila-Perini, Kati; Lehti, Sami; Lindén, Tomas; Luukka, Panja-Riina; Mäenpää, Teppo; Peltola, Timo; Tuominen, Eija; Tuominiemi, Jorma; Tuovinen, Esa; Ungaro, Donatella; Wendland, Lauri; Banzuzi, Kukka; Karjalainen, Ahti; Korpela, Arja; Tuuva, Tuure; Besancon, Marc; Choudhury, Somnath; Dejardin, Marc; Denegri, Daniel; Fabbro, Bernard

    2013-01-01

    The results of searches for supersymmetry by the CMS experiment are interpreted in the framework of simplified models. The results are based on data corresponding to an integrated luminosity of 4.73 to 4.98 inverse femtobarns. The data were collected at the LHC in proton-proton collisions at a center-of-mass energy of 7 TeV. This paper describes the method of interpretation and provides upper limits on the product of the production cross section and branching fraction as a function of new particle masses for a number of simplified models. These limits and the corresponding experimental acceptance calculations can be used to constrain other theoretical models and to compare different supersymmetry-inspired analyses.

  17. Supersymmetry Properties of AdS Supergravity Backgrounds

    Science.gov (United States)

    Beck, Samuel; Gutowski, Jan; Papadopoulos, George

    2017-01-01

    Anti-de Sitter supergravity backgrounds are of particular interest in light of the AdS/CFT correspondence, which relates them to dual conformal field theories on the boundary of the anti-de Sitter space. We have investigated the forms of the supersymmetries these backgrounds preserve by solving the Killing spinor equations on the anti-de Sitter components of these spaces. We have found that a supersymmetric AdSn background necessarily preserves 2⌊n/2⌋ k supersymmetries for n 0 . Additionally, we have found that the Killing spinors of each background are exactly the zeroes of a Dirac-like operator constructed from the Killing spinor equations.

  18. The early universe with high-scale supersymmetry

    Energy Technology Data Exchange (ETDEWEB)

    Zheng, Sibo [Chongqing University, Department of Physics, Chongqing (China)

    2015-08-15

    A small tensor-to-scalar ratio r may lead to distinctive phenomenology of high-scale supersymmetry. Assuming the same origin of SUSY breaking between the inflation and visible sector, we show model independent features. The simplest hybrid inflation, together with a new linear term for the inflaton field which is induced by a large gravitino mass, is shown to be consistent with all experimental data for r of order 10{sup -5}. For superpartner masses far above the weak scale we find that the reheating temperature after inflation might be below the value required by thermal leptogenesis if the inflaton decays to its products perturbatively, but above it if the decay is non-perturbatively instead. Remarkably, the gravitino overproduction can be evaded in such high-scale supersymmetry because of the kinematically blocking effect. (orig.)

  19. Dynamical supersymmetry of the spin particle-magnetic field interaction

    Energy Technology Data Exchange (ETDEWEB)

    Ngome, J-P; Horvathy, P A [Laboratoire de Mathematiques et de Physique Theorique, Universite Francois-Rabelais Tours, Federation Denis Poisson, CNRS Parc de Grandmont, 37200 Tours (France); Van Holten, J W, E-mail: juste.ngome@lmpt.univ-tours.f, E-mail: horvathy@lmpt.univ-tours.f, E-mail: t32@nikhef.n [NIKHEF, PO Box 41882, 1009 DB Amsterdam (Netherlands)

    2010-07-16

    We study the dynamical and supersymmetries of a fermion in a D = d = 3-dimensional monopole background. The Hamiltonian also involves an additional spin-orbit coupling term, which is parameterized by the gyromagnetic ratio. We construct the superinvariants associated with the system using a SUSY extension of a previously proposed algorithm, based on Grassmann-valued Killing tensors. Conserved quantities arise for certain definite values of the gyromagnetic factor: N=1 SUSY requires g = 2; a Kepler-type dynamical symmetry only arises, however, for the anomalous values g = 0 and g = 4. The two anomalous systems can be unified into an N=2 SUSY system built by doubling the number of Grassmann variables. For D = d = 2, the planar system also exhibits an N=2 supersymmetry without Grassmann variable doubling.

  20. Dynamical supersymmetry breaking on magnetized tori and orbifolds

    Science.gov (United States)

    Abe, Hiroyuki; Kobayashi, Tatsuo; Sumita, Keigo

    2016-10-01

    We construct several dynamical supersymmetry breaking (DSB) models within a single ten-dimensional supersymmetric Yang-Mills (SYM) theory, compactified on magnetized tori with or without orbifolding. We study the case that the supersymmetry breaking is triggered by a strong dynamics of SU (NC) SYM theory with NF flavors contained in the four-dimensional effective theory. We show several configurations of magnetic fluxes and orbifolds, those potentially yield, below the compactification scale, the field contents and couplings required for triggering DSB. We especially find a class of self-complete DSB models on orbifolds, where all the extra fields are eliminated by the orbifold projection and DSB successfully occurs within the given framework. Comments on some perspectives for associating the obtained DSB models with the other sectors, such as the visible sector and another hidden sector for, e.g., stabilizing moduli, are also given.

  1. Dynamical supersymmetry breaking on magnetized tori and orbifolds

    CERN Document Server

    Abe, Hiroyuki; Sumita, Keigo

    2016-01-01

    We construct several dynamical supersymmetry breaking (DSB) models within a single ten-dimensional supersymmetric Yang-Mills (SYM) theory, compactified on magnetized tori with or without orbifolding. We study the case that the supersymmetry breaking is triggered by a strong dynamics of $SU(N_C)$ SYM theory with $N_F$ flavors contained in the four-dimensional effective theory. We show several configurations of magnetic fluxes and orbifolds, those potentially yield, below the compactification scale, the field contents and couplings required for triggering DSB. We especially find a class of self-complete DSB models on orbifolds, where all the extra fields are eliminated by the orbifold projection and DSB successfully occurs within the given framework. Comments on some perspectives for associating the obtained DSB models with the other sectors, such as the visible sector and another hidden sector for, e.g., stabilizing moduli, are also given.

  2. A criterion for lattice supersymmetry: cyclic Leibniz rule

    CERN Document Server

    Kato, Mitsuhiro; So, Hiroto

    2013-01-01

    It is old folklore that the violation of Leibniz rule on a lattice is an obstruction for constructing a lattice supersymmetric model. While it is still true for full supersymmetry, we show that a slightly modified form of the Leibniz rule, which we call cyclic Leibniz rule (CLR), is actually a criterion for the existence of partial lattice supersymmetry. In one dimension, we find sets of lattice difference operator and field multiplication smeared over lattice which satisfy the CLR under some natural assumptions such as translational invariance and locality. Thereby we construct a model of supersymmetric lattice quantum mechanics without spoiling locality. The CLR relation is coincident with the condition that the vanishing of the so-called surface term in the construction by lattice Nicolai map. We can construct superfield formalism with arbitrary superpotential. This also enables us to apply safely a localization technique to our model, because the kinetic term and the interaction terms of our model are ind...

  3. Naturalizing Supersymmetry with a Two-Field Relaxion Mechanism

    CERN Document Server

    Evans, Jason L; Nagata, Natsumi; Thomas, Zachary

    2016-01-01

    We present a supersymmetric version of a two-field relaxion model that naturalizes tuned versions of supersymmetry. This arises from a relaxion mechanism that does not depend on QCD dynamics and where the relaxion potential barrier height is controlled by a second axion-like field. During the cosmological evolution, the relaxion rolls with a nonzero value that breaks supersymmetry and scans the soft supersymmetric mass terms. Electroweak symmetry is broken after the soft masses become of order the supersymmetric Higgs mass term and causes the relaxion to stop rolling for superpartner masses up to $\\sim 10^9$ GeV. This can explain the tuning in supersymmetric models, including split-SUSY models, while preserving the QCD axion solution to the strong CP problem. Besides predicting two very weakly-coupled axion-like particles, the supersymmetric spectrum may contain an extra Goldstino, which could be a viable dark matter candidate.

  4. 2D Poisson sigma models with gauged vectorial supersymmetry

    Science.gov (United States)

    Bonezzi, Roberto; Sundell, Per; Torres-Gomez, Alexander

    2015-08-01

    In this note, we gauge the rigid vectorial supersymmetry of the two-dimensional Poisson sigma model presented in arXiv:1503.05625. We show that the consistency of the construction does not impose any further constraints on the differential Poisson algebra geometry than those required for the ungauged model. We conclude by proposing that the gauged model provides a first-quantized framework for higher spin gravity.

  5. The confluent supersymmetry algorithm for Dirac equations with pseudoscalar potentials

    Energy Technology Data Exchange (ETDEWEB)

    Contreras-Astorga, Alonso, E-mail: aloncont@iun.edu; Schulze-Halberg, Axel, E-mail: axgeschu@iun.edu, E-mail: xbataxel@gmail.com [Department of Mathematics and Actuarial Science and Department of Physics, Indiana University Northwest, 3400 Broadway, Gary, Indiana 46408 (United States)

    2014-10-15

    We introduce the confluent version of the quantum-mechanical supersymmetry formalism for the Dirac equation with a pseudoscalar potential. Application of the formalism to spectral problems is discussed, regularity conditions for the transformed potentials are derived, and normalizability of the transformed solutions is established. Our findings extend and complement former results [L. M. Nieto, A. A. Pecheritsin, and B. F. Samsonov, “Intertwining technique for the one-dimensional stationary Dirac equation,” Ann. Phys. 305, 151–189 (2003)].

  6. Generalized Supersymmetries and Composite Structure in M-Theory

    CERN Document Server

    Lukierski, J

    2002-01-01

    We describe generalized D=11 Poincar\\'{e} and conformal supersymmetries. The corresponding generalization of twistor and supertwistor framework is outlined with $OSp(1|64)$ superspinors describing BPS preons. The $\\frac{k}{32}$ BPS states as composed out of $n=32 - k$ preons are introduced, and basic ideas concerning BPS preon dynamics is presented. The lecture is based on results obtained by J.A. de Azcarraga, I. Bandos, J.M. Izquierdo and the author$^1$.

  7. Generalized Supersymmetries and Composite Structure in M-Theory

    Science.gov (United States)

    Iajkierski, Jerzy

    2002-11-01

    We describe generalized D = 11 Poincaré and conformal supersymmetries. The corresponding generalization of twistor and supertwistor framework is outlined with OSp(l|64) superspinors describing BPS preons. The (k)/(32) BPS states as composed out of n = 32 - k preons are introduced, and basic ideas concerning BPS preon dynamics is presented. The lecture is based on results obtained by J.A. de Azcarraga, I. Bandos, J.M. Izquierdo and the author.

  8. Neutrino mass patterns, -parity violating supersymmetry and associated phenomenology

    Indian Academy of Sciences (India)

    Biswarup Mukhopadhyaya

    2000-01-01

    Motivated by the recent super-Kamiokande results on atmospheric neutrinos, we incorporate massive neutrinos, with large angle oscillation between the second and third generations, in a theory with -parity violating supersymmetry. The general features of such a theory are briefly reviewed. We emphasize its testability through the observation of comparable numbers of muons and taus, produced together with the -boson, in decays of the lightest neutralino. A distinctly measurable decay gap is anotherremarkable feature of such a scenario.

  9. Low-energy supersymmetry breaking and fermion mass hierarchies

    CERN Document Server

    Gherghetta, Tony; Poppitz, E R; Gherghetta, Tony; Jungman, Gerard; Poppitz, Erich

    1995-01-01

    In models with low-energy supersymmetry breaking, an anomalous Abelian horizontal gauge symmetry can simultaneously explain the fermion mass hierarchy and the values of the \\mu and B terms. We construct an explicit model where the anomaly is cancelled by the Green-Schwarz mechanism at the string scale. We show that with our charge assignments, the breaking of the horizontal symmetry generates the correct order of magnitude and correct hierarchy for all Yukawa couplings.

  10. 2D Poisson sigma models with gauged vectorial supersymmetry

    Energy Technology Data Exchange (ETDEWEB)

    Bonezzi, Roberto [Dipartimento di Fisica ed Astronomia, Università di Bologna and INFN, Sezione di Bologna,via Irnerio 46, I-40126 Bologna (Italy); Departamento de Ciencias Físicas, Universidad Andres Bello,Republica 220, Santiago (Chile); Sundell, Per [Departamento de Ciencias Físicas, Universidad Andres Bello,Republica 220, Santiago (Chile); Torres-Gomez, Alexander [Departamento de Ciencias Físicas, Universidad Andres Bello,Republica 220, Santiago (Chile); Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile-UACh,Valdivia (Chile)

    2015-08-12

    In this note, we gauge the rigid vectorial supersymmetry of the two-dimensional Poisson sigma model presented in arXiv:1503.05625. We show that the consistency of the construction does not impose any further constraints on the differential Poisson algebra geometry than those required for the ungauged model. We conclude by proposing that the gauged model provides a first-quantized framework for higher spin gravity.

  11. A new kind of graded Lie algebra and parastatistical supersymmetry

    Institute of Scientific and Technical Information of China (English)

    2001-01-01

    In this paper the usual Z2 graded Lie algebra is generalized to a new form, which may be called Z2,2 graded Lie algebra. It is shown that there exist close connections between the Z2,2 graded Lie algebra and parastatistics, so the Z2,2 can be used to study and analyse various symmetries and supersymmetries of the paraparticle systems.

  12. 2D Poisson sigma models with gauged vectorial supersymmetry

    OpenAIRE

    2015-01-01

    In this note, we gauge the rigid vectorial supersymmetry of the two-dimensional Poisson sigma model presented in arXiv:1503.05625. We show that the consistency of the construction does not impose any further constraints on the differential Poisson algebra geometry than those required for the ungauged model. We conclude by proposing that the gauged model provides a first-quantized framework for higher spin gravity.

  13. 2D Poisson Sigma Models with Gauged Vectorial Supersymmetry

    CERN Document Server

    Bonezzi, Roberto; Torres-Gomez, Alexander

    2015-01-01

    In this note, we gauge the rigid vectorial supersymmetry of the two-dimensional Poisson sigma model presented in arXiv:1503.05625. We show that the consistency of the construction does not impose any further constraints on the differential Poisson algebra geometry than those required for the ungauged model. We conclude by proposing that the gauged model provides a first-quantized framework for higher spin gravity.

  14. Special geometry of Euclidean supersymmetry I: Vector multiplets

    Energy Technology Data Exchange (ETDEWEB)

    Cortes, V.; Mayer, C.; Saueressig, F.; Mohaupt, T. E-mail: mohaupt@tpi.uni-jena.de

    2004-02-01

    We construct the general action for Abelian vector multiplets in rigid 4-dimensional Euclidean (instead of Minkowskian) N=2 supersymmetry, i.e., over space-times with a positive definite instead of a Lorentzian metric. The target manifolds for the scalar fields turn out to be para-complex manifolds endowed with a particular kind of special geometry, which we call affine special para-Kahler geometry. We give the precise definition and develop the mathematical theory of such manifolds. The relation to the affine special Kahler manifolds appearing in Minkowskian N=2 supersymmetry is discussed. Starting from the general five-dimensional vector multiplet action we consider dimensional reduction over time and space in parallel, providing a dictionary between the resulting Euclidean and Minkowskian theories. Then we reanalyze supersymmetry in four dimensions and find that any (para-)holomorphic prepotential defines a supersymmetric Lagrangian, provided that we add a specific four-fermion term, which cannot be obtained by dimensional reduction. We show that the Euclidean action and supersymmetry transformations, when written in terms of para-holomorphic coordinates, take exactly the same form as their Minkowskina counterparts. The appearance of a para-complex and complex structure in the Euclidean and Minkowskian theory, respectively, is traced back to properties of the underlying R-symmetry groups. Finally, we indicate how our work will be extended to other types of multiplets and to supergravity in the future and explain the relevance of this project for the study of instantons, solitons and cosmological solutions in supergravity and M-theory. (author)

  15. The anomalous current multiplet in 6D minimal supersymmetry

    Energy Technology Data Exchange (ETDEWEB)

    Kuzenko, Sergei M. [School of Physics M013, The University of Western Australia,35 Stirling Highway, Crawley, W.A. 6009 (Australia); Novak, Joseph [Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut,Am Mühlenberg 1, D-14476 Golm (Germany); Samsonov, Igor B. [School of Physics M013, The University of Western Australia,35 Stirling Highway, Crawley, W.A. 6009 (Australia)

    2016-02-19

    For supersymmetric gauge theories with eight supercharges in four, five and six dimensions, a conserved current belongs to the linear multiplet. In the case of six-dimensional N=(1,0) Poincaré supersymmetry, we present a consistent deformation of the linear multiplet which describes chiral anomalies. This is achieved by developing a superform formulation for the deformed linear multiplet. In the abelian case, we compute a nonlocal effective action generating the gauge anomaly.

  16. Commutator-based linearization of $N = 1$ nonlinear supersymmetry

    CERN Document Server

    Tsuda, Motomu

    2016-01-01

    We consider the linearization of $N = 1$ nonlinear supersymmetry (NLSUSY) based on a commutator algebra in Volkov-Akulov NLSUSY theory. We show explicitly that $U(1)$ gauge and scalar supermultiplets in addition to a vector supermultiplet with general auxiliary fields in linear SUSY theories are obtained from a same set of bosonic and fermionic functionals (composites) which are expressed as simple products of the powers of a Nambu-Goldstone fermion and a fundamental determinant in the NLSUSY theory.

  17. On the role of the commutator algebra for nonlinear supersymmetry

    CERN Document Server

    Shima, Kazunari

    2016-01-01

    We discuss the closure of commutator algebra for general functionals in terms of Nambu-Goldstone fermions and their derivative terms under nonlinear supersymmetry (NLSUSY) both in flat spacetime and in curved spacetime. We show that the variations of the general functionals (uniquely) determine the general structure of linear supermutiplets with general auxiliary fields for arbitrary $N$ SUSY, where the closure of the commutator algebra for NLSUSY plays a crucial role.

  18. An introduction to symmetry and supersymmetry in quantum field theory

    CERN Document Server

    Lopuszánski, Jan T

    1991-01-01

    This is a set of lecture notes given by the author at the Universities of Göttingen and Wroclaw. The text presents the axiomatic approach to field theory and studies in depth the concepts of symmetry and supersymmetry and their associated generators, currents and charges. It is intended as a one-semester course for graduate students in the field of mathematical physics and high energy physics.

  19. Observables in Topological Yang-Mills Theories With Extended Shift Supersymmetry

    CERN Document Server

    Constantinidis, C P; Spalenza, W; Constantinidis, Clisthenis P.; Piguet, Olivier; Spalenza, Wesley

    2006-01-01

    We present a complete classification, at the classical level, of the observables of topological Yang-Mills theories with an extended shift supersymmetry of N generators, in any space-time dimension. The observables are defined as the Yang-Mills BRST cohomology classes of shift supersymmetry invariants. These cohomology classes turn out to be solutions of an N-extension of Witten's equivariant cohomology. This work generalizes results known in the case of shift supersymmetry with a single generator.

  20. Spontaneous supersymmetry breaking in the two-dimensional N=1 Wess-Zumino model

    CERN Document Server

    Steinhauer, Kyle

    2014-01-01

    We study the phase diagram of the two-dimensional N=1 Wess-Zumino model on the lattice using Wilson fermions and the fermion loop formulation. We give a complete nonperturbative determination of the ground state structure in the continuum and infinite volume limit. We also present a determination of the particle spectrum in the supersymmetric phase, in the supersymmetry broken phase and across the supersymmetry breaking phase transition. In the supersymmetry broken phase we observe the emergence of the Goldstino particle.

  1. Spontaneous supersymmetry breaking in the 2d N=1 Wess-Zumino model

    CERN Document Server

    Baumgartner, David; Wenger, Urs

    2013-01-01

    We study the phase diagram of the two-dimensional N=1 Wess-Zumino model using Wilson fermions and the fermion loop formulation. We give a complete non-perturbative determination of the ground state structure in the continuum and infinite volume limit. We also present a determination of the particle spectrum in the supersymmetric phase, in the supersymmetry broken phase and across the supersymmetry breaking phase transition. In the supersymmetry broken phase we observe the emergence of the Goldstino particle.

  2. Supersymmetry algebra cohomology. IV. Primitive elements in all dimensions from D= 4 to D= 11

    Energy Technology Data Exchange (ETDEWEB)

    Brandt, Friedemann [Institut fuer Theoretische Physik, Leibniz Universitaet Hannover, Appelstrasse 2, D-30167 Hannover (Germany)

    2013-05-15

    The primitive elements of the supersymmetry algebra cohomology as defined in previous work are derived for standard supersymmetry algebras in dimensions D= 5, Horizontal-Ellipsis , 11 for all signatures of the related Clifford algebras of gamma matrices and all numbers of supersymmetries. The results are presented in a uniform notation along with results of previous work for D= 4, and derived by means of dimensional extension from D= 4 up to D= 11.

  3. Supersymmetry of AdS and flat IIB backgrounds

    Science.gov (United States)

    Beck, S.; Gutowski, J.; Papadopoulos, G.

    2015-02-01

    We present a systematic description of all warped AdS n × w M 10- n and IIB backgrounds and identify the a priori number of supersymmetries N preserved by these solutions. In particular, we find that the AdS n backgrounds preserve for n ≤ 4 and for 4 < n ≤ 6 supersymmetries and for suitably restricted. In addition under some assumptions required for the applicability of the maximum principle, we demonstrate that the Killing spinors of AdS n backgrounds can be identified with the zero modes of Dirac-like operators on M 10- n establishing a new class of Lichnerowicz type theorems. Furthermore, we adapt some of these results to backgrounds with fluxes by taking the AdS radius to infinity. We find that these backgrounds preserve for 2 < n ≤ 4 and for 4 < n ≤ 7 supersymmetries. We also demonstrate that the Killing spinors of AdS n × w M 10- n do not factorize into Killing spinors on AdS n and Killing spinors on M 10- n .

  4. Split Dirac Supersymmetry: An Ultraviolet Completion of Higgsino Dark Matter

    Energy Technology Data Exchange (ETDEWEB)

    Fox, Patrick J. [Fermilab; Kribs, Graham D. [Oregon U.; Martin, Adam [Notre Dame U.

    2014-10-07

    Motivated by the observation that the Higgs quartic coupling runs to zero at an intermediate scale, we propose a new framework for models of split supersymmetry, in which gauginos acquire intermediate scale Dirac masses of $\\sim 10^{8-11}$ GeV. Scalar masses arise from one-loop finite contributions as well as direct gravity-mediated contributions. Like split supersymmetry, one Higgs doublet is fine-tuned to be light. The scale at which the Dirac gauginos are introduced to make the Higgs quartic zero is the same as is necessary for gauge coupling unification. Thus, gauge coupling unification persists (nontrivially, due to adjoint multiplets), though with a somewhat higher unification scale $\\gtrsim 10^{17}$ GeV. The $\\mu$-term is naturally at the weak scale, and provides an opportunity for experimental verification. We present two manifestations of Split Dirac Supersymmetry. In the "Pure Dirac" model, the lightest Higgsino must decay through R-parity violating couplings, leading to an array of interesting signals in colliders. In the "Hypercharge Impure" model, the bino acquires a Majorana mass that is one-loop suppressed compared with the Dirac gluino and wino. This leads to weak scale Higgsino dark matter whose overall mass scale, as well as the mass splitting between the neutral components, is naturally generated from the same UV dynamics. We outline the challenges to discovering pseudo-Dirac Higgsino dark matter in collider and dark matter detection experiments.

  5. Position-dependent mass, finite-gap systems, and supersymmetry

    CERN Document Server

    Bravo, Rafael

    2016-01-01

    The ordering problem in quantum systems with position-dependent mass (PDM) is treated by inclusion of the classically fictitious similarity transformation into the kinetic term. This provides a generation of supersymmetry with the first order supercharges from the kinetic term alone, while inclusion of the potential term allows to generate also nonlinear supersymmetry with higher order supercharges. A broad class of finite-gap systems with PDM is obtained by different reduction procedures, and general results on supersymmetry generation are applied to them. We show that elliptic finite-gap systems of Lame and Darboux-Treibich-Verdier types can be obtained by reduction to Seiffert's spherical spiral and Bernoulli lemniscate in the presence of Calogero-like or harmonic oscillator potentials, or by angular momentum reduction of a free motion on some AdS_2-related surfaces in the presence of Aharonov-Bohm flux. The limiting cases include the Higgs and Mathews-Lakshmanan oscillator models as well as a reflectionle...

  6. Position-dependent mass, finite-gap systems, and supersymmetry

    Science.gov (United States)

    Bravo, Rafael; Plyushchay, Mikhail S.

    2016-05-01

    The ordering problem in quantum systems with position-dependent mass (PDM) is treated by inclusion of the classically fictitious similarity transformation into the kinetic term. This provides a generation of supersymmetry with the first-order supercharges from the kinetic term alone, while inclusion of the potential term allows us also to generate nonlinear supersymmetry with higher-order supercharges. A broad class of finite-gap systems with PDM is obtained by different reduction procedures, and general results on supersymmetry generation are applied to them. We show that elliptic finite-gap systems of Lamé and Darboux-Treibich-Verdier types can be obtained by reduction to Seiffert's spherical spiral and Bernoulli lemniscate in the presence of Calogero-like or harmonic oscillator potentials, or by angular momentum reduction of a free motion on some AdS2 -related surfaces in the presence of Aharonov-Bohm flux. The limiting cases include the Higgs and Mathews-Lakshmanan oscillator models as well as a reflectionless model with PDM exploited recently in the discussion of cosmological inflationary scenarios.

  7. Supersymmetry Parameter Analysis: SPA Convention andProject

    Energy Technology Data Exchange (ETDEWEB)

    Aguilar-Saavedra, J.A.; Ali, A.; Allanach, B.C.; Arnowitt, R.; Baer, H.A.; Bagger, J.A.; Balazs, C.; Barger, V.; Barnett, M.; Bartl, A.; Battaglia, M.; Bechtle, P.; Belanger, G.; Belyaev, A.; Berger, E.L.; Blair, G.; Boos, E.; Carena, M.; Choi, S.Y.; Deppisch, F.; De Roeck, A.; /Lisbon, IST /DESY /Cambridge U., DAMTP /Texas A-M /Florida State

    2005-12-02

    High-precision analyses of supersymmetry parameters aim at reconstructing the fundamental supersymmetric theory and its breaking mechanism. A well defined theoretical framework is needed when higher-order corrections are included. We propose such a scheme, Supersymmetry Parameter Analysis SPA, based on a consistent set of conventions and input parameters. A repository for computer programs is provided which connect parameters in different schemes and relate the Lagrangian parameters to physical observables at LHC and high energy e{sup +}e{sup -} linear collider experiments, i.e., masses, mixings, decay widths and production cross sections for supersymmetric particles. In addition, programs for calculating high-precision low energy observables, the density of cold dark matter (CDM) in the universe as well as the cross sections for CDM search experiments are included. The SPA scheme still requires extended efforts on both the theoretical and experimental side before data can be evaluated in the future at the level of the desired precision. We take here an initial step of testing the SPA scheme by applying the techniques involved to a specific supersymmetry reference point.

  8. Dilaton Effective Action with $\\mathcal{N}=1$ Supersymmetry

    CERN Document Server

    Bobev, Nikolay; Olson, Timothy M

    2013-01-01

    We clarify the structure of the four-dimensional low-energy effective action that encodes the conformal and $U(1)$ R-symmetry anomalies in an $\\mathcal{N}=1$ supersymmetric field theory. The action depends on the dilaton, $\\tau$, associated with broken conformal symmetry, and the Goldstone mode, $\\beta$, of the broken $U(1)$ R-symmetry. We present the action for general curved spacetime and background gauge field up to and including all possible four-derivative terms. The result, constructed from basic principles, extends and clarifies the structure found by Schwimmer and Theisen in arXiv:1011.0696 using superfield methods. We show that the Goldstone mode $\\beta$ does not interfere with the proof of the four-dimensional $a$-theorem based on $2 \\to 2$ dilaton scattering. In fact, supersymmetry Ward identities ensure that a proof of the $a$-theorem can also be based on $2 \\to 2$ Goldstone mode scattering when the low-energy theory preserves $\\mathcal{N}=1$ supersymmetry. We find that even without supersymmetry,...

  9. Low Scale Supersymmetry Breaking and its LHC Signatures

    CERN Document Server

    Dudas, Emilian; Tziveloglou, Pantelis

    2013-01-01

    We study the most general extension of the MSSM Lagrangian that includes scenarios in which supersymmetry is spontaneously broken at a low scale f. The spurion that parametrizes supersymmetry breaking in the MSSM is promoted to a dynamical superfield involving the goldstino, with (and without) its scalar superpartner, the sgoldstino. The low energy effective Lagrangian is written as an expansion in terms of m_{SUSY}/sqrt{f}, where m_{SUSY} is the induced supersymmetry breaking scale, and contains, in addition to the usual MSSM Lagrangian with the soft terms, couplings involving the component fields of the goldstino superfield and the MSSM fields. This Lagrangian can provide significant corrections to the usual couplings in the Standard Model and the MSSM. We study how these new corrections affect the Higgs couplings to gauge bosons and fermions, and how LHC bounds can be used in order to constrain f. We also discuss that, from the effective field theory point of view, the couplings of the goldstino interactio...

  10. Low-scale Inflation and Supersymmetry Breaking in Racetrack Models

    CERN Document Server

    Allahverdi, Rouzbeh; Sinha, Kuver

    2009-01-01

    In many moduli stabilization schemes in string theory, the scale of inflation appears to be of the same order as the scale of supersymmetry breaking. For low-scale supersymmetry breaking, therefore, the scale of inflation should also be low, unless this correlation is avoided in specific models. We explore such a low-scale inflationary scenario in a racetrack model with a single modulus in type IIB string theory. Inflation occurs near a point of inflection in the K\\"ahler modulus potential. Obtaining acceptable cosmological density perturbations leads to the introduction of magnetized D7-branes sourcing non-perturbative superpotentials. The gravitino mass, m_{3/2}, is chosen to be around 30 TeV, so that gravitinos that are produced in the inflaton decay do not affect big-bang nucleosynthesis. Supersymmetry is communicated to the visible sector by a mixture of anomaly and modulus mediation. We find that the two sources contribute equally to the gaugino masses, while scalar masses are decided mainly by anomaly ...

  11. Tasting the SU(5) nature of supersymmetry at the LHC

    CERN Document Server

    Fichet, Sylvain; Stoll, Yannick

    2015-01-01

    We elaborate on a recently found SU(5) relation confined to the up-(s)quark flavour space, that remains immune to large quantum corrections up to the TeV scale. We investigate the possibilities opened by this new window on the GUT scale in order to find TeV-scale SU(5) tests realizable at the LHC. These SU(5) tests appear as relations among observables involving either flavour violation or chirality flip in the up-(s)quark sector. The power of these tests is systematically evaluated using a frequentist, p-value based criterion. SU(5) tests in the Heavy supersymmetry (SUSY), Natural supersymmetry and Top-charm supersymmetry spectra are investigated. The latter scenario features light stops and scharms and is well-motivated from various five-dimensional constructions. A variety of SU(5) tests is obtained, involving techniques of top polarimetry, charm-tagging, or Higgs detection from SUSY cascade decays. We find that O(10) to O(100) events are needed to obtain 50% of relative precision at 3-sigma significance f...

  12. Soflty broken supersymmetry and the fine-tuning problem

    Energy Technology Data Exchange (ETDEWEB)

    Foda, O.E.

    1984-02-20

    The supersymmetry of the simple Wess-Zumino model is broken, in the tree-approximation, by adding all possible parity-even(mass)-dimension 2 and 3 terms. The model is then renormalized using BPHZ and the normal product algorithm, such that supersymmetry is only softly broken (in the original sense of Schroer and Symanzik). We show that, within the above renormalization scheme, none of the added breaking terms give rise to technical fine-tuning problems (defined in the sense of Gildener) in larger models, with scalar multiplets and hierarchy of mass scales, which is in contrast to what we obtain via analytic schemes such as dimensional renormalization, or supersymmetry extension of which. The discrepancy (which can be shown to persist in more general models) originates in the inherent local ambiguity in the finite parts of subtracted Feynman integrals. Emphasizing that the issue is purely technical (as opposed to physical) in origin, and that all physical properties are scheme-independent (as they should be), we conclude that the technical fine-tuning problem, in the specific sense used in this paper, being scheme dependent, is not a well-defined issue within the context of renormalized perturbation theory. 30 references.

  13. Cosmological selection of multi-TeV supersymmetry

    Directory of Open Access Journals (Sweden)

    Keisuke Harigaya

    2015-10-01

    Full Text Available We discuss a possible answer to the fundamental question of why nature would actually prefer low-scale supersymmetry, but end up with a supersymmetry scale that is not completely natural. This question is inevitable if we postulate that low-energy supersymmetry is indeed realized in nature, despite the null observation of superparticles below a TeV at the Large Hadron Collider. As we argue in this paper, superparticles masses in the multi-TeV range can, in fact, be reconciled with the concept of naturalness by means of a cosmological selection effect—a selection effect based on the assumption of an exact discrete R-symmetry that is spontaneously broken by gaugino condensation in a pure supersymmetric Yang–Mills theory. In such theories, the dynamical scale of the Yang–Mills gauge interactions is required to be higher than the inflationary Hubble scale, in order to avoid the formation of domain walls. This results in a lower limit on the superparticle masses and leads us to conclude that, according to the idea of naturalness, the most probable range of superparticle masses is potentially located at the multi-TeV, if the inflationary Hubble rate is of O(1014 GeV. Our argument can be partially tested by future measurements of the tensor fraction in the Cosmic Microwave Background fluctuations.

  14. Matrix formulation of fractional supersymmetry and q-deformation

    Energy Technology Data Exchange (ETDEWEB)

    Benkaddour, I.

    2006-02-24

    Supersymmetry, which is the only non-trivial Z{sub 2} extension of the Poincare algebra, can be generalized to fractional supersymmetry, when the space time is smaller than 3. Since symmetries play an important role in physics; the principal task of quantum groups consist in extanding these standard symmetries to the deformed ones, which might be used in physics as well. This two aspects will be the main focus of this thesis. In this work, we discuss the matrix formulation of fractional supersymmetry, the q-deformation of KdV hierarchy systems and noncommutative geometry. In the first part fractional supersymmetry generated by more than one charge operator and those which can be described as a matrix model are studied. Using parafermionic field-theoretical methods, the fundamentals of two-dimensional fractional supersymmetry Q{sup k}=P are set up. Known difficulties induced by methods based on the U{sub q}(sl(2)) quantum group representations and noncommutative geometry are avoided in the parafermionic approach. Moreover, we find that fractional supersymmetric algebras are naturally realized as matrix models. The k=3 case is studied in detail. In the second part we will study the q-deformed algebra and the q-analogues of the generalised KdV hierarchy. We construct in this part the algebra of q-deformed pseudo-differential operators, shown to be an essential step toward setting up a q-deformed integrability program. In fact, using the results of this q-deformed algebra, we derive the q-analogues of the generalised KdV hierarchy. We focus in particular on the first leading orders of this q-deformed hierarchy, namely the q-KdV and q-Boussinesq integrable systems. We also present the q-generalisation of the conformal transformations of the currents u{sub n}, n{>=}2, and discuss the primary condition of the fields w{sub n}, n{>=}2, by using the Volterra gauge group transformations for the q-covariant Lax operators. In the last part we will discuss quantum groups and

  15. The wave function of the universe and spontaneous breaking of supersymmetry

    CERN Document Server

    Obregón, O; Socorro, J; Tkach, V I

    1998-01-01

    In this work we define a scalar product ``weighted'' with the scalar factor $R$ and show how to find a normalized wave function for the supersymmetric quantum FRW cosmological model using the idea of supersymmetry breaking selection rules under local n=2 conformal supersymmetry. We also calculate the expectation value of the scalar factor R in this model and its corresponding behaviour.

  16. Supersymmetry from Typicality: TeV-Scale Gauginos and PeV-Scale Squarks and Sleptons

    Science.gov (United States)

    Nomura, Yasunori; Shirai, Satoshi

    2014-09-01

    We argue that under a set of simple assumptions the multiverse leads to low-energy supersymmetry with the spectrum often called spread or minisplit supersymmetry: the gauginos are in the TeV region with the other superpartners 2 or 3 orders of magnitude heavier. We present a particularly simple realization of supersymmetric grand unified theory using this idea.

  17. ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Painlevé Integrability of Nonlinear Schrödinger Equations with both Space- and Time-Dependent Coefficients

    Science.gov (United States)

    Kyoung, Ho Han; H. J., Shin

    2010-12-01

    We investigate the Painlevé integrability of nonautonomous nonlinear Schrödinger (NLS) equations with both space- and time-dependent dispersion, nonlinearity, and external potentials. The Painlevé analysis is carried out without using the Kruskal's simplification, which results in more generalized form of inhomogeneous equations. The obtained equations are shown to be reducible to the standard NLS equation by using a point transformation. We also construct the corresponding Lax pair and carry out its Kundu-type reduction to the standard Lax pair. Special cases of equations from choosing limited form of coefficients coincide with the equations from the previous Painlevé analyses and/or become unknown new equations.

  18. Banados and SUSY: On Supersymmetry and Minimal Surfaces of Locally AdS3 Geometries

    CERN Document Server

    Colgáin, E Ó

    2016-01-01

    We extend the classification of supersymmetric locally AdS$_3$ geometries, beyond BTZ black holes, to the Ba\\~nados geometries, noting that supersymmetries are in one-to-one correspondence with solutions to the Hill differential condition. We show that the number of global supersymmetries is an orbit invariant quantity and identify geometries with zero, one, two, three and four global supersymmetries. As an application of our classification, we exploit supersymmetry, which is preserved locally in the bulk, to determine space-like co-dimension two surfaces in AdS$_3$. In the process, we by-pass geodesics or mappings of AdS$_3$, neither of which have an analogue in higher dimensions, to recover known Hubeny-Rangamani-Takayanagi surfaces. Our findings suggest supersymmetry can be exploited to find extremal surfaces in holographic entanglement entropy.

  19. Self-isospectrality, tri-supersymmetry and band structure

    CERN Document Server

    Correa, Francisco; Nieto, Luis-Miguel; Plyushchay, Mikhail S

    2008-01-01

    We reveal an unexpected hidden supersymmetric structure in a self-isospectral system constructed on the base of the periodic finite-gap associated Lame equation. It admits three different choices of the Z_2-grading, under which three basic nontrivial integrals of motion coherently change their fermionic/bosonic nature, and generate a certain nonlinear supersymmetry. These integrals reflect the band structure, its separability, and characteristic properties of the band-edge states of the system, which can be interpreted as an electron in one-dimensional crystal produced by periodic electric and magnetic fields.

  20. Michael Marinov memorial volume multiple facets of quantization and supersymmetry

    CERN Document Server

    Vainshtein, A I

    2002-01-01

    This book is dedicated to the memory of Michael Marinov, the theorist who, together with Felix Berezin, introduced the classical description of spin by anticommuting Grassmann variables. It contains original papers and reviews by physicists and mathematicians written specifically for the book. These articles reflect the current status and recent developments in the areas of Marinov's research: quantum tunneling, quantization of constrained systems, supersymmetry, and others. The personal recollections included portray the human face of M Marinov, a person of great knowledge and integrity.

  1. Observations on the partial breaking of N=2 rigid supersymmetry

    Directory of Open Access Journals (Sweden)

    Laura Andrianopoli

    2015-05-01

    Full Text Available We study the partial breaking of N=2 rigid supersymmetry for a generic rigid special geometry of n abelian vector multiplets in the presence of Fayet–Iliopoulos terms induced by the hyper-Kähler momentum map. By exhibiting the symplectic structure of the problem we give invariant conditions for the breaking to occur, which rely on a quartic invariant of the Fayet–Iliopoulos charges as well as on a modification of the N=2 rigid symmetry algebra by a vector central charge.

  2. Supersymmetry Constraints and String Theory on K3

    CERN Document Server

    Lin, Ying-Hsuan; Wang, Yifan; Yin, Xi

    2015-01-01

    We study supervertices in six dimensional (2,0) supergravity theories, and derive supersymmetry non-renormalization conditions on the 4- and 6-derivative four-point couplings of tensor multiplets. As an application, we obtain exact non-perturbative results of such effective couplings in type IIB string theory compactified on K3 surface, extending previous work on type II/heterotic duality. The weak coupling limit thereof, in particular, gives certain integrated four-point functions of half-BPS operators in the nonlinear sigma model on K3 surface, that depend nontrivially on the moduli, and capture worldsheet instanton contributions.

  3. Soft Supersymmetry Breaking in Anisotropic LARGE Volume Compactifications

    CERN Document Server

    Angus, Stephen

    2014-01-01

    We study soft supersymmetry breaking terms for anisotropic LARGE volume compactifications, where the bulk volume is set by a fibration with one small four-cycle and one large two-cycle. We consider scenarios where D7s wrap either a blow-up cycle or the small fibre cycle. Chiral matter can arise either from modes parallel or perpendicular to the brane. We compute soft terms for this matter and find that for the case where the D7 brane wraps the fibre cycle the scalar masses can be parametrically different, allowing a possible splitting of third-generation soft terms.

  4. Bose Fermi Supersymmetry with Bogoliubov transforms in Cosmology

    CERN Document Server

    Patwardhan, A

    2006-01-01

    Field theory including Supersymmetry and Bose Fermi Symmetry is an active subject of particle physics and cosmology. Recent and expected observational evidence gives indicators for the creation and destruction of normal and supersymmetric dark matter in the universe. This paper uses Bogoliubov transforms in supersymmetric and Bose Fermi form for obtaining the vaccuum expectation values at any two times in cosmological and black hole geometries. The isotropic Robertson Walker and slightly anisotropic Bianchi I geometry mode functions have a differential equation form analogous to the supersymmetric Hamiltonian. The condition for mixed and distinct representations for bosonic and fermionic fields of normal and supersymmetric partner particles are found.

  5. Simulations of a supersymmetry inspired model on a fuzzy sphere

    Energy Technology Data Exchange (ETDEWEB)

    Volkholz, J. [Humboldt-Universitaet, Berlin (Germany). Inst. fuer Physik; Bietenholz, W. [Deutsches Elektronen-Synchrotron (DESY), Zeuthen (Germany). John von Neumann-Inst. fuer Computing NIC

    2007-11-15

    We present a numerical study of a two dimensional model of the Wess-Zumino type. We formulate this model on a sphere, where the fields are expanded in spherical harmonics. The sphere becomes fuzzy by a truncation in the angular momenta. This leads to a finite set of degrees of freedom without explicitly breaking the space symmetries. The corresponding field theory is expressed in terms of a matrix model, which can be simulated. We present first numerical results for the phase structure of a variant of this model on a fuzzy sphere. The prospect to restore exact supersymmetry in certain limits is under investigation. (orig.)

  6. New Higgs signatures in supersymmetry with spontaneous broken R parity

    CERN Document Server

    Romao, J.C.; Valle, J.W.F.

    1992-01-01

    Higgs production from $Z$ decay in supersymmetry with spontaneous broken R parity proceeds mostly by the Bjorken process as in the standard model. However, the corresponding production rates can be weaker than in the standard model (SM), especially in the low mass region. This will substantially weaken the Higgs boson mass limits derived from LEP1. More strikingly, the main Higgs decay channel is "invisible", over most of the mass range accessible to LEP1, leading to events with large missing energy carried by majorons. This possibility should be taken into account in the planning of Higgs boson search strategies not only at LEP but also at high energy supercolliders.

  7. Gauge/gravity Duality and MetastableDynamical Supersymmetry Breaking

    Energy Technology Data Exchange (ETDEWEB)

    Argurio, Riccardo; Bertolini, Matteo; Franco, Sebastian; Kachru, Shamit

    2006-10-24

    We engineer a class of quiver gauge theories with several interesting features by studying D-branes at a simple Calabi-Yau singularity. At weak 't Hooft coupling we argue using field theory techniques that these theories admit both supersymmetric vacua and meta-stable non-supersymmetric vacua, though the arguments indicating the existence of the supersymmetry breaking states are not decisive. At strong 't Hooft coupling we find simple candidate gravity dual descriptions for both sets of vacua.

  8. 6D supergravity. Warped solution and gravity mediated supersymmetry breaking

    Energy Technology Data Exchange (ETDEWEB)

    Luedeling, C.

    2006-07-15

    We consider compactified six-dimensional gauged supergravity and find the general warped solution with four-dimensional maximal symmetry. Important features of the solution such as the number and position of singularities are determined by a free holomorphic function. Furthermore, in a particular torus compactification we derive the supergravity coupling of brane fields by the Noether procedure and investigate gravity-mediated supersymmetry breaking. The effective Kaehler potential is not sequestered, yet tree level gravity mediation is absent as long as the superpotential is independent of the radius modulus. (orig.)

  9. Brane to brane gravity mediation of supersymmetry breaking

    CERN Document Server

    Rattazzi, Riccardo; Strumia, A; Rattazzi, Riccardo; Scrucca, Claudio A.; Strumia, Alessandro

    2003-01-01

    We extend the results of Mirabelli and Peskin to supergravity. We study the compactification on S_1/Z_2 of Zucker's off-shell formulation of 5D supergravity and its coupling to matter at the fixed points. We clarify some issues related to the off-shell description of supersymmetry breaking a la Scherk-Schwarz (here employed only as a technical tool) discussing how to deal with singular gravitino wave functions. We then consider `visible' and `hidden' chiral superfields localized at the two different fixed points and communicating only through 5D supergravity. We compute the one-loop corrections that mix the two sectors and the radion superfield. Locality in 5D ensures the calculability of these effects, which transmit supersymmetry breaking from the hidden to the visible sector. In the minimal set-up visible-sector scalars get a universal squared mass m_0^2 < 0. In general (e.g. in presence of a sizable gravitational kinetic term localized on the hidden brane) the radion-mediated contribution to m_0^2 can ...

  10. Closed superstrings in magnetic field instabilities and supersymmetry breaking

    CERN Document Server

    Tseytlin, Arkady A

    1995-01-01

    We consider a 2-parameter class of solvable closed superstring models which `interpolate' between Kaluza-Klein and dilatonic Melvin magnetic flux tube backgrounds. The spectrum of string states has similarities with Landau spectrum for a charged particle in a uniform magnetic field. The presence of spin-dependent `gyromagnetic' interaction implies breaking of supersymmetry and possible existence (for certain values of magnetic parameters) of tachyonic instabilities. We study in detail the simplest example of the Kaluza-Klein Melvin model describing a superstring moving in flat but non-trivial 10-d space containing a 3-d factor which is a `twisted' product of a 2-plane and an internal circle. We also discuss the compact version of this model constructed by `twisting' the product of the two groups in SU(2) x U(1) WZNW theory without changing the local geometry (and thus the central charge). We explain how the supersymmetry is broken by continuous `magnetic' twist parameters and comment on possible implications ...

  11. Doubling Up on Supersymmetry in the Higgs Sector

    CERN Document Server

    Ellis, John; Sanz, Verónica

    2016-01-01

    We explore the possibility that physics at the TeV scale possesses approximate $N = 2$ supersymmetry, which is reduced to the $N=1$ minimal supersymmetric extension of the Standard Model (MSSM) at the electroweak scale. This doubling of supersymmetry modifies the Higgs sector of the theory, with consequences for the masses, mixings and couplings of the MSSM Higgs bosons, whose phenomenological consequences we explore in this paper. The mass of the lightest neutral Higgs boson $h$ is independent of $\\tan \\beta$ at the tree level, and the decoupling limit is realized whatever the values of the heavy Higgs boson masses. Radiative corrections to the top quark and stop squarks dominate over those due to particles in $N=2$ gauge multiplets. We assume that these radiative corrections fix $m_h \\simeq 125$ GeV, whatever the masses of the other neutral Higgs bosons $H, A$, a scenario that we term the $h$2MSSM. Since the $H, A$ bosons decouple from the $W$ and $Z$ bosons in the $h$2MSSM at tree level, only the LHC const...

  12. Supersymmetry protected topological phases of isostatic lattices and kagome antiferromagnets

    Science.gov (United States)

    Lawler, Michael J.

    2016-10-01

    I generalize the theory of phonon topological band structures of isostatic lattices to frustrated antiferromagnets. I achieve this with a discovery of a many-body supersymmetry (SUSY) in the phonon problem of balls and springs and its connection to local constraints satisfied by ground states. The Witten index of the SUSY model demands the Maxwell-Calladine index of mechanical structures. "Spontaneous supersymmetry breaking" is identified as the need to gap all modes in the bulk to create the topological isostatic lattice state. Since ground states of magnetic systems also satisfy local constraint conditions (such as the vanishing of the total spin on a triangle), I identify a similar SUSY structure for many common models of antiferromagnets including the square, triangluar, kagome, pyrochlore nearest-neighbor antiferromagnets, and the J2=J1/2 square-lattice antiferromagnet. Remarkably, the kagome family of antiferromagnets is the analog of topological isostatic lattices among this collection of models. Thus, a solid-state realization of the theory of phonon topological band structure may be found in frustrated magnetic materials.

  13. Supersymmetry With Prejudice: Fitting the Wrong Model to LHC Data

    CERN Document Server

    Allanach, B C

    2011-01-01

    We critically examine interpretations of hypothetical supersymmetric LHC signals, fitting to alternative wrong models of supersymmetry breaking. The signals we consider are some of the most constraining on the sparticle spectrum: invariant mass distributions with edges and end-points from the golden cascade decay chain \\tilde{q}_L -> q \\chi_2^0 (-> \\tilde{l}^{\\pm} l^{\\mp} q) -> \\chi_1^0 l^+ l^- q. We assume a CMSSM point to be the `correct' one, and fit the signals instead to minimal gauge mediated supersymmetry breaking models (mGMSB) with a neutralino quasi-stable lightest supersymmetric particle, minimal anomaly mediation (mAMSB) and large volume string compactification models (LVS). mAMSB and LVS can be unambiguously discriminated against the CMSSM for the parameter point assumed and 1 inverse femtobarn of LHC data at 14 TeV. However, mGMSB would not be discriminated on the basis of the kinematic end-points alone, and would require further, more detailed investigation. The best-fit points of mGMSB and CMS...

  14. Supersymmetry with prejudice: Fitting the wrong model to LHC data

    Science.gov (United States)

    Allanach, B. C.; Dolan, Matthew J.

    2012-09-01

    We critically examine interpretations of hypothetical supersymmetric LHC signals, fitting to alternative wrong models of supersymmetry breaking. The signals we consider are some of the most constraining on the sparticle spectrum: invariant mass distributions with edges and endpoints from the golden decay chain q˜→qχ20(→l˜±l∓q)→χ10l+l-q. We assume a constrained minimal supersymmetric standard model (CMSSM) point to be the ‘correct’ one, but fit the signals instead with minimal gauge mediated supersymmetry breaking models (mGMSB) with a neutralino quasistable lightest supersymmetric particle, minimal anomaly mediation and large volume string compactification models. Minimal anomaly mediation and large volume scenario can be unambiguously discriminated against the CMSSM for the assumed signal and 1fb-1 of LHC data at s=14TeV. However, mGMSB would not be discriminated on the basis of the kinematic endpoints alone. The best-fit point spectra of mGMSB and CMSSM look remarkably similar, making experimental discrimination at the LHC based on the edges or Higgs properties difficult. However, using rate information for the golden chain should provide the additional separation required.

  15. Is there an inertia due to the supersymmetry

    CERN Document Server

    Ter-Kazarian, Gagik

    2013-01-01

    We derive a standard Lorentz code (SLC) of motion by exploring rigid double transformations of, so-called, 'master space-induced' supersymmetry (MS-SUSY), subject to certain rules. The renormalizable and actually finite flat-space field theories with $N_{max}=4$ supersymmetries in four dimensions, if only such symmetries are fundamental to nature, yield the possible 'extension of Lorentz code' (ELC), at which the SLC violating new physics appears. In the framework of local MS-SUSY, we address the inertial effects. We argue that a space-time deformation of MS is the origin of inertia effects that can be observed by us. We go beyond the hypothesis of locality. This allows to improve the relevant geometrical structures referred to the noninertial frame in Minkowski space for an arbitrary velocities and characteristic acceleration lengths. This framework furnishes justification for the introduction of the 'weak' principle of equivalence, i.e., the 'universality of free fall'. The implications of the inertia effec...

  16. Supergravity and Supersymmetry Breaking in Four and Five Dimensions

    CERN Document Server

    Ellis, Jonathan Richard; Pokorski, Stefan; Thomas, S; Ellis, John; Lalak, Zygmunt; Pokorski, Stefan; Thomas, Steven

    1999-01-01

    We discuss supersymmetry breaking in the field-theoretical limit of the strongly-coupled heterotic string compactified on a Calabi-Yau manifold, from the different perspectives of four and five dimensions. The former applies to light degrees of freedom below the threshold for five-dimensional Kaluza-Klein excitations, whereas the five-dimensional perspective is also valid up to the Calabi-Yau scale. We show how, in the latter case, two gauge sectors separated in the fifth dimension are combined to form a consistent four-dimensional supergravity. In the lowest order of the $\\kappa^{2/3}$ expansion, we show how a four-dimensional supergravity with gauge kinetic function $f_{1,2}=S$ is reproduced, and we show how higher-order terms give rise to four-dimensional operators that differ in the two gauge sectors. In the four-dimensional approach, supersymmetry is seen to be broken when condensates form on one or both walls, and the goldstino may have a non-zero dilatino component. As in the five-dimensional approach,...

  17. Supergravity and supersymmetry breaking in four and five dimensions

    CERN Document Server

    Ellis, Jonathan Richard; Pokorski, Stefan; Thomas, S

    1999-01-01

    We discuss supersymmetry breaking in the field-theoretical limit of the strongly coupled heterotic string compactified on a Calabi-Yau manifold, from the different perspectives of four and five dimensions. The former applies to light degrees of freedom below the threshold for five-dimensional Kaluza-Klein excitations, whereas the five-dimensional perspective is also valid up to the Calabi-Yau scale. We show how, in the latter case, two gauge sectors separated in the fifth dimension are combined to form a consistent four- dimensional supergravity. In the lowest order of the kappa /sup 2/3/ expansion, we show how a four-dimensional supergravity with gauge kinetic function f/sub 1,2/=S is reproduced, and we show how higher- order terms give rise to four-dimensional operators that differ in the two gauge sectors. In the four-dimensional approach, supersymmetry is seen to be broken when condensates form on one or both walls, and the goldstino may have a non-zero dilatino component. As in the five-dimensional appro...

  18. Supersymmetry Enhancement and Junctions in S-folds

    CERN Document Server

    Imamura, Yosuke; Yokoyama, Daisuke

    2016-01-01

    We study supersymmetry enhancement from ${\\cal N}=3$ to ${\\cal N}=4$ proposed by Aharony and Tachikawa by using string junctions in S-folds. The central charges carried by junctions play a central role in our analysis. We consider planer junctions in a specific plane. Before the S-folding they carry two complex central charges, which we denote by $Z$ and $\\bar Z$. The S-fold projection eliminates $\\bar Z$ as well as one of the four supercharges, and when the supersymmetry is enhanced $\\bar Z$ should be reproduced by some non-perturbative mechanism. For the models of $\\mathbb{Z}_3$ and $\\mathbb{Z}_4$ S-folds which are expected to give $SU(3)$ and $SO(5)$ ${\\cal N}=4$ theories we compare the junction spectra with those in perturbative brane realization of the same theories. We establish one-to-one correspondence so that $Z$ coincides. By using the correspondence we also give an expression for the enhanced central charge $\\bar Z$.

  19. A Definitive Signal of Multiple Supersymmetry Breaking at the LHC

    CERN Document Server

    Cheung, Clifford; Nomura, Yasunori; Thaler, Jesse

    2010-01-01

    If the lightest observable-sector supersymmetric particle (LOSP) is charged and long-lived, then it may be possible to indirectly measure the Planck mass at the LHC and provide a spectacular confirmation of supergravity as a symmetry of nature. Unfortunately, this proposal is only feasible if the gravitino is heavy enough to be measured at colliders, and this condition is in direct conflict with constraints from big bang nucleosynthesis (BBN). In this work, we show that the BBN bound can be naturally evaded in the presence of multiple sectors which independently break supersymmetry, since there is a new decay channel of the LOSP to a goldstino. Certain regions of parameter space allow for a direct measurement of LOSP decays into both the goldstino and the gravitino at the LHC. If the goldstino/gravitino mass ratio is measured to be 2, as suggested by theory, then this would provide dramatic verification of the existence of multiple supersymmetry breaking and sequestering. A variety of consistent cosmological ...

  20. Supersymmetry, the flavour puzzle and rare B decays

    Energy Technology Data Exchange (ETDEWEB)

    Straub, David Michael

    2010-07-14

    The gauge hierarchy problem and the flavour puzzle belong to the most pressing open questions in the Standard Model of particle physics. Supersymmetry is arguably the most popular framework of physics beyond the Standard Model and provides an elegant solution to the gauge hierarchy problem; however, it aggravates the flavour puzzle. In the first part of this thesis, I discuss several approaches to address the flavour puzzle in the minimal supersymmetric extension of the Standard Model and experimental tests thereof: supersymmetric grand unified theories with a unification of Yukawa couplings at high energies, theories with minimal flavour violation and additional sources of CP violation and theories with gauge mediation of supersymmetry breaking and a large ratio of Higgs vacuum expectation values. In the second part of the thesis, I discuss the phenomenology of two rare B meson decay modes which are promising probes of physics beyond the Standard Model: The exclusive B {yields} K{sup *}l{sup +}l{sup -} decay, whose angular decay distribution will be studied at LHC and gives access to a large number of observables and the b{yields}s{nu}anti {nu} decays, which are in the focus of planned high-luminosity Super B factories. I discuss the predictions for these observables in the Standard Model and their sensitivity to New Physics. (orig.)

  1. Search for R -Parity Violating Supersymmetry in the Dielectron Channel

    Energy Technology Data Exchange (ETDEWEB)

    Abbott, B. [New York University, New York, New York 10003 (United States); Abolins, M. [Michigan State University, East Lansing, Michigan 48824 (United States); Abramov, V. [Institute for High Energy Physics, Protvino, Russia (Russian Federation); Acharya, B. S. [Tata Institute of Fundamental Research, Mumbai, (India); Adams, I. [Columbia University, New York, New York 10027 (United States); Adams, D. L. [Rice University, Houston, Texas 77005 (United States); Adams, M. [University of Illinois at Chicago, Chicago, Illinois 60607 (United States); Ahn, S. [Fermi National Accelerator Laboratory, Batavia, Illinois 60510 (United States); Akimov, V. [Institute for Theoretical and Experimental Physics, Moscow, Russia (Russian Federation); Alves, G. A. [LAFEX, Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro, (Brazil)] (and others)

    1999-11-29

    We report on a search for R -parity-violating supersymmetry in pp(bar sign) collisions at {radical}(s)=1.8 TeV using the D0 detector at Fermilab. Events with at least two electrons and four or more jets were studied. We observe two events in 99{+-}4.4 pb{sup -1} of data, consistent with the expected background of 1.8{+-}0.4 events. This result is interpreted within the framework of minimal low-energy supergravity supersymmetry models. Squarks with mass below 243 GeV/c{sup 2} and gluinos with mass below 227 GeV/c{sup 2} are excluded at the 95% C.L. for A{sub 0}=0 , {mu}<0 , tan {beta}=2 , and a finite value for any one of the six R -parity-violating couplings {lambda}{sup '}{sub 1jk} ( j=1 , 2 and k=1 , 2, 3). (c) 1999 The American Physical Society.

  2. Supersymmetry discovery potential in the 2 leptons channel with ATLAS

    CERN Document Server

    De Sanctis, U

    2008-01-01

    The main argument of the PhD thesis is the evaluation of the ATLAS detector potential to discover Supersymmetry and to estimate the masses of the supersymmetric particles produced in events with two isolated leptons (electrons or muons) in the final state. The Supersymmetry (SUSY) is one of the most credited theories to extend the Standard Model (SM). This theory foresees a new class of particles that can be detected reconstructing their decay chains. Under some basic assumptions that define the mSUGRA model, all these chains finish with the Lightest SUSY Particle (LSP) that is stable, neutral and weakly interacting: a good candidate for the Cold Dark Matter. The LSP escapes the detection originating a large amount of missing energy in the detector. Within the mSUGRA model, this channel is then characterised by the presence of two isolated leptons, missing energy and energetic jets. A strategy to estimate the SM background in this channel using only real data has been developed allowing the discovery of SUSY ...

  3. Natural X-ray lines from the low scale supersymmetry breaking

    Directory of Open Access Journals (Sweden)

    Zhaofeng Kang

    2015-03-01

    Full Text Available In the supersymmetric models with low scale supersymmetry (SUSY breaking where the gravitino mass is around keV, we show that the 3.5 keV X-ray lines can be explained naturally through several different mechanisms: (I a keV scale dark gaugino plays the role of sterile neutrino in the presence of bilinear R-parity violation. Because the light dark gaugino obtains Majorana mass only via gravity mediation, it is a decaying warm dark matter (DM candidate; (II the compressed cold DM states, whose mass degeneracy is broken by gravity mediated SUSY breaking, emit such a line via the heavier one decay into the lighter one plus photon(s. A highly supersymmetric dark sector may readily provide such kind of system; (III the light axino, whose mass again is around the gravitino mass, decays to neutrino plus gamma in the R-parity violating SUSY. Moreover, we comment on dark radiation from dark gaugino.

  4. Supersymmetry in a sector of Higgsless electroweak symmetry breaking

    Energy Technology Data Exchange (ETDEWEB)

    Knochel, Alexander Karl

    2009-05-11

    In this thesis we have investigated phenomenological implications which arise for cosmology and collider physics when the electroweak symmetry breaking sector of warped higgsless models is extended to include warped supersymmetry with conserved R parity. The goal was to find the simplest supersymmetric extension of these models which still has a realistic light spectrum including a viable dark matter candidate. To accomplish this, we have used the same mechanism which is already at work for symmetry breaking in the electroweak sector to break supersymmetry as well, namely symmetry breaking by boundary conditions. While supersymmetry in five dimensions contains four supercharges and is therefore directly related to 4D N=2 supersymmetry, half of them are broken by the background leaving us with ordinary N=1 theory in the massless sector after Kaluza-Klein expansion. We thus use boundary conditions to model the effects of a breaking mechanism for the remaining two supercharges. The simplest viable scenario to investigate is a supersymmetric bulk and IR brane without supersymmetry on the UV brane. Even though parts of the light spectrum are effectively projected out by this mechanism, we retain the rich phenomenology of complete N=2 supermultiplets in the Kaluza-Klein sector. While the light supersymmetric spectrum consists of electroweak gauginos which get their O(100 GeV) masses from IR brane electroweak symmetry breaking, the light gluinos and squarks are projected out on the UV brane. The neutralinos, as mass eigenstates of the neutral bino-wino sector, are automatically the lightest gauginos, making them LSP dark matter candidates with a relic density that can be brought to agreement withWMAP measurements without extensive tuning of parameters. For chargino masses close to the experimental lower bounds at around m{sub {chi}{sup +}}{approx}100.. 110 GeV, the dark matter relic density points to LSP masses of around m{sub {chi}}{approx}90 GeV. At the LHC, the

  5. Painlevé integrability of a generalized fifth-order KdV equation with variable coefficients: Exact solutions and their interactions

    Institute of Scientific and Technical Information of China (English)

    Xu Gui-Qiong

    2013-01-01

    By means of singularity structure analysis,the integrability of a generalized fifth-order KdV equation is investigated.It is proven that this equation passes the Painlevé test for integrability only for three distinct cases.Moreover,the multisoliton solutions are presented for this equation under three sets of integrable conditions.Finally,by selecting appropriate parameters,we analyze the evolution of two solitons,which is especially interesting as it may describe the overtaking and the head-on collisions of solitary waves of different shapes and different types.

  6. WIMT in Gullstränd–Painlevé and Reissner–Nordström metrics: induced stable gravito-magnetic monopoles

    Energy Technology Data Exchange (ETDEWEB)

    Romero, Jesús Martín, E-mail: jesusromero@conicet.gov.ar [Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR), Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Mar del Plata (Argentina); Bellini, Mauricio, E-mail: mbellini@mdp.edu.ar [Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Funes 3350, C.P. 7600, Mar del Plata (Argentina); Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR), Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Mar del Plata (Argentina)

    2015-05-08

    The aim of this work is to apply Weitzeböck Induced Matter Theory (WIMT) to Gullstränd–Painlevé and Reissner–Nordström metrics in the framework of WIMT. This is a newly developed method that extends Induced Matter Theory from a curved 5D manifold using the Weitzeböck’s geometry, using the fact that the Riemann–Weitzenböck curvature tensor is always null. We obtain the presence of currents whose interpretation can lead to the presence of stable gravito-magnetic monopoles.

  7. Generalised universality of gauge thresholds in heterotic vacua with and without supersymmetry

    Directory of Open Access Journals (Sweden)

    Carlo Angelantonj

    2015-11-01

    Full Text Available We study one-loop quantum corrections to gauge couplings in heterotic vacua with spontaneous supersymmetry breaking. Although in non-supersymmetric constructions these corrections are not protected and are typically model dependent, we show how a universal behaviour of threshold differences, typical of supersymmetric vacua, may still persist. We formulate specific conditions on the way supersymmetry should be broken for this to occur. Our analysis implies a generalised notion of threshold universality even in the case of unbroken supersymmetry, whenever extra charged massless states appear at enhancement points in the bulk of moduli space. Several examples with universality, including non-supersymmetric chiral models in four dimensions, are presented.

  8. Small extra dimensions from the interplay of gauge and supersymmetry breaking

    Energy Technology Data Exchange (ETDEWEB)

    Buchmueller, W. [Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany); Catena, R. [International School for Advanced Studies, Trieste (Italy); Schmidt-Hoberg, K. [Technische Univ., Muenchen (Germany). Physik-Department

    2008-03-15

    Higher-dimensional theories provide a promising framework for unified extensions of the supersymmetric standard model. Compactifications to four dimensions often lead to U(1) symmetries beyond the standard model gauge group, whose breaking scale is classically undetermined. Without supersymmetry breaking, this is also the case for the size of the compact dimensions. Fayet-Iliopoulos terms generically fix the scale M of gauge symmetry breaking. The interplay with supersymmetry breaking can then stabilize the compact dimensions at a size 1/M, much smaller than the inverse supersymmetry breaking scale 1/{mu}. We illustrate this mechanism with an SO(10) model in six dimensions, compactified on an orbifold. (orig.)

  9. Generalised universality of gauge thresholds in heterotic vacua with and without supersymmetry

    CERN Document Server

    Angelantonj, Carlo; Tsulaia, Mirian

    2015-01-01

    We study one-loop quantum corrections to gauge couplings in heterotic vacua with spontaneous supersymmetry breaking. Although in non-supersymmetric constructions these corrections are not protected and are typically model dependent, we show how a universal behaviour of threshold differences, typical of supersymmetric vacua, may still persist. We formulate specific conditions on the way supersymmetry should be broken for this to occur. Our analysis implies a generalised notion of threshold universality even in the case of unbroken supersymmetry, whenever extra charged massless states appear at enhancement points in the bulk of moduli space. Several examples with universality, including non-supersymmetric chiral models in four dimensions, are presented.

  10. N=1 Supersymmetry, Deconstruction, and Bosonic Gauge Theories

    CERN Document Server

    Dijkgraaf, R; Dijkgraaf, Robbert; Vafa, Cumrun

    2003-01-01

    We show how the full holomorphic geometry of local Calabi-Yau threefold compactifications with N=1 supersymmetry can be obtained from matrix models. In particular for the conifold geometry we relate F-terms to the general amplitudes of c=1 non-critical bosonic string theory, and express them in a quiver or, equivalently, super matrix model. Moreover we relate, by deconstruction, the uncompactified c=1 theory to the six-dimensional conformal (2,0) theory. Furthermore, we show how we can use the idea of deconstruction to connect 4+k dimensional supersymmetric gauge theories to a k-dimensional internal bosonic gauge theory, generalizing the relation between 4d theories and matrix models. Examples of such bosonic systems include unitary matrix models and gauged matrix quantum mechanics, which deconstruct 5-dimensional supersymmetric gauge theories, and Chern-Simons gauge theories, which deconstruct gauge theories living on branes wrapped over cycles in Calabi-Yau threefolds.

  11. AdS5 backgrounds with 24 supersymmetries

    Science.gov (United States)

    Beck, S.; Gutowski, J.; Papadopoulos, G.

    2016-06-01

    We prove a non-existence theorem for smooth AdS 5 solutions with connected, compact without boundary internal space that preserve strictly 24 supersymmetries. In particular, we show that D = 11 supergravity does not admit such solutions, and that all such solutions of IIB supergravity are locally isometric to the AdS 5 × S 5 maximally supersymmetric background. Furthermore, we prove that (massive) IIA supergravity also does not admit such solutions, provided that the homogeneity conjecture for massive IIA supergravity is valid. In the context of AdS/CFT these results imply that if gravitational duals for strictly mathcal{N}=3 superconformal theories in 4-dimensions exist, they are either singular or their internal spaces are not compact.

  12. Supersymmetry Breaking on Gauged Non-Abelian Vortices

    CERN Document Server

    Konishi, Kenichi; Vinci, Walter

    2012-01-01

    There are a large number of systems characterized by a completely broken gauge symmetry, but with an unbroken global color-flavor diagonal symmetry, i.e., systems in the so-called color-flavor locked phase. If the gauge symmetry breaking supports vortices, the latter develop non-Abelian orientational zero-modes and become non-Abelian vortices, a subject of intense study in the last several years. In this paper we consider the effects of weakly gauging the full exact global flavor symmetry in such systems, deriving an effective description of the light excitations in the presence of a vortex. Surprising consequences are shown to follow. The fluctuations of the vortex orientational modes get diffused to bulk modes through tunneling processes. When our model is embedded in a supersymmetric theory, the vortex is still 1/2 BPS saturated, but the vortex effective action breaks supersymmetry.

  13. Supersymmetry Searches at the Compact Muon Solenoid (CMS Experiment, 2011

    Directory of Open Access Journals (Sweden)

    Koay S. A.

    2012-06-01

    Full Text Available The discovery/exclusion of Supersymmetric models for fundamental interactions of particles is one of the milestones targeted by the Large Hadron Collider (LHC, and in particular comprises of a large part of the physics program of the CMS experiment. Since the initial measurements using the 36 pb−1 of integrated luminosity delivered by the LHC in 2010, presently available results utilize about one fifth of the data delivered in 2011, i.e. in the ballpark of 1 fb−1, significantly extending the world limits placed on gluino and squark production signals. An overview of these analyses is presented, highlighting four that had been newly made public as of the date of this conference. The evidence for Supersymmetry (SUSY is still elusive, and a discussion follows as to where current searches have not yet probed, also pointing out where they might have difficulty ever probing without dedicated arrangements.

  14. Flavor from the double tetrahedral group without supersymmetry

    CERN Document Server

    Carone, Christopher D; Vasquez, Savannah

    2016-01-01

    We consider a class of flavor models proposed by Aranda, Carone and Lebed, relaxing the assumption of supersymmetry and allowing the flavor scale to float anywhere between the weak and Planck scales. We perform global fits to the charged fermion masses and CKM angles, and consider the dependence of the results on the unknown mass scale of the flavor sector. We find that the typical Yukawa textures in these models provide a good description of the data over a wide range of flavor scales, with a preference for those that approach the lower bounds allowed by flavor-changing-neutral-current constraints. Nevertheless, the possibility that the flavor scale and Planck scale are identified remains viable. We present models that demonstrate how the assumed textures can arise most simply in a non-supersymmetric framework.

  15. Constraints on supersymmetry with light third family from LHC data

    CERN Document Server

    Desai, Nishita

    2011-01-01

    We present a re-interpretation of the recent ATLAS limits on supersymmetry in channels with jets (with and without b-tags) and missing energy, in the context of light third family squarks, while the first two squark families are inaccessible at the 7 TeV run of the Large Hadron Collider (LHC). In contrast to interpretations in terms of the high-scale based constrained minimal supersymmetric standard model (CMSSM), we primarily use the low-scale parametrisation of the phenomenological MSSM (pMSSM), and translate the limits in terms of physical masses of the third family squarks. Side by side, we also investigate the limits in terms of high-scale scalar non-universality, both with and without low-mass sleptons. Our conclusion is that the limits based on 0-lepton channels are not altered by the mass-scale of sleptons, and can be considered more or less model-independent.

  16. Constraints on finite soft supersymmetry-breaking terms

    Energy Technology Data Exchange (ETDEWEB)

    Kobayashi, T. [High Energy Accel. Res. Organ., Tokyo (Japan). Inst. of Particle and Nucl. Studies; Kubo, J. [Department of Physics, Kanazawa University, Kanazawa 920-1192 (Japan); Mondragon, M. [Instituto de Fisica, UNAM, Apdo. Postal 20-364, Mexico 01000 D.F. (Mexico); Zoupanos, G. [Institut fuer Physik, Humboldt-Universitaet zu Berlin, D-10115 Berlin (Germany)

    1998-02-02

    Requiring the soft supersymmetry-breaking (SSB) parameters in finite gauge-Yukawa unified models to be finite up to and including two-loop order, we derive a two-loop sum rule for the soft scalar masses. It is shown that this sum rule coincides with that of a certain class of string models in which the massive string states are organized into N=4 supermultiplets. We investigate the SSB sector of two finite SU(5) models. Using the sum rule which allows non-universality of the SSB terms and requiring that the lightest superparticle particle is neutral, we constrain the parameter space of the SSB sector in each model. (orig.). 50 refs.

  17. An extension for direct gauge mediation of metastable supersymmetry breaking

    Energy Technology Data Exchange (ETDEWEB)

    Fuqiang, Xu; Jin Min, Yang [Institute of Theoretical Physics, Academia Sinica - Beijing (China)

    2009-03-15

    We study the direct mediation of metastable supersymmetry breaking by a {phi}{sup 2}-deformation to the ISS (Intriligator, Seiberg and Shih) model and extend it by splitting both Tr{phi} and Tr{phi}{sup 2} terms in the superpotential and gauging the flavor symmetry. We find that with such an extension enough-long-lived metastable vacua can be obtained and the proper gaugino masses can be generated. Also, this allows for constructing a kind of models which can avoid the Landau pole problem. Especially, in our metastable vacua there exist a large region for the parameter m{sub 3} which can satisfy the phenomenology requirements and allow for a low SUSY-breaking scale (h{mu}{sub 2} {approx} 100 TeV). (authors)

  18. Multilepton signals of gauge mediated supersymmetry breaking at the LHC

    Energy Technology Data Exchange (ETDEWEB)

    D' Hondt, Jorgen [Theoretische Natuurkunde and IIHE/ELEM, Vrije Universiteit Brussel, Pleinlaan 2, B-1050 Brussels (Belgium); International Solvay Institutes, Brussels (Belgium); De Causmaecker, Karen [Theoretische Natuurkunde and IIHE/ELEM, Vrije Universiteit Brussel, Pleinlaan 2, B-1050 Brussels (Belgium); International Solvay Institutes, Brussels (Belgium); Theory Division, Physics Department, CERN, CH-1211 Geneva 23 (Switzerland); Fuks, Benjamin [Theory Division, Physics Department, CERN, CH-1211 Geneva 23 (Switzerland); Institut Pluridisciplinaire Hubert Curien/Département Recherches Subatomiques, Université de Strasbourg/CNRS-IN2P3, 23 Rue du Loess, F-67037 Strasbourg (France); Mariotti, Alberto [Institute for Particle Physics Phenomenology, Durham University, Durham DH1 3LE (United Kingdom); Mawatari, Kentarou [Theoretische Natuurkunde and IIHE/ELEM, Vrije Universiteit Brussel, Pleinlaan 2, B-1050 Brussels (Belgium); International Solvay Institutes, Brussels (Belgium); Petersson, Christoffer [International Solvay Institutes, Brussels (Belgium); Physique Théorique et Mathématique, Université Libre de Bruxelles, C.P. 231, B-1050 Brussels (Belgium); Department of Fundamental Physics, Chalmers University of Technology, 412 96 Göteborg (Sweden); Redigolo, Diego [International Solvay Institutes, Brussels (Belgium); Physique Théorique et Mathématique, Université Libre de Bruxelles, C.P. 231, B-1050 Brussels (Belgium)

    2014-04-04

    We investigate multilepton LHC signals arising from electroweak processes involving sleptons. We consider the framework of general gauge mediated supersymmetry breaking, focusing on models where the low mass region of the superpartner spectrum consists of the three generations of charged sleptons and the nearly massless gravitino. We demonstrate how such models can provide an explanation for the anomalous four lepton events recently observed by the CMS Collaboration, while satisfying other existing experimental constraints. The best fit to the CMS data is obtained for a selectron/smuon mass of around 145 GeV and a stau mass of around 90 GeV. These models also give rise to final states with more than four leptons, offering alternative channels in which they can be probed and we estimate the corresponding production rates at the LHC.

  19. Edge Quantum Criticality and Emergent Supersymmetry in Topological Phases

    Science.gov (United States)

    Li, Zi-Xiang; Jiang, Yi-Fan; Yao, Hong

    2017-09-01

    Proposed as a fundamental symmetry describing our Universe, spacetime supersymmetry (SUSY) has not been discovered yet in nature. Nonetheless, it has been predicted that SUSY may emerge in low-energy physics of quantum materials such as topological superconductors and Weyl semimetals. Here, by performing state-of-the-art sign-problem-free quantum Monte Carlo simulations of an interacting two-dimensional topological superconductor, we show convincing evidence that the N =1 SUSY emerges at its edge quantum critical point (EQCP) while its bulk remains gapped and topologically nontrivial. Remarkably, near the EQCP, we find that the edge Majorana fermion acquires a mass that is identical with that of its bosonic superpartner. To the best of our knowledge, this is the first observation that fermions and bosons have equal dynamically generated masses, a hallmark of emergent SUSY. We further discuss experimental signatures of such EQCP and associated SUSY.

  20. Brane induced supersymmetry breaking and de Sitter supergravity

    Energy Technology Data Exchange (ETDEWEB)

    Bandos, Igor [Department of Theoretical Physics, University of the Basque Country UPV/EHU, P.O. Box 644, 48080 Bilbao (Spain); IKERBASQUE, Basque Foundation for Science, 48011 Bilbao (Spain); Martucci, Luca [Dipartimento di Fisica e Astronomia “Galileo Galilei”, Università di Padova, Via Marzolo 8, 35131 Padova (Italy); I.N.F.N. Sezione di Padova, Via Marzolo 8, 35131 Padova (Italy); Sorokin, Dmitri [I.N.F.N. Sezione di Padova, Via Marzolo 8, 35131 Padova (Italy); Dipartimento di Fisica e Astronomia “Galileo Galilei”, Università di Padova, Via Marzolo 8, 35131 Padova (Italy); Tonin, Mario [Dipartimento di Fisica e Astronomia “Galileo Galilei”, Università di Padova, Via Marzolo 8, 35131 Padova (Italy); I.N.F.N. Sezione di Padova, Via Marzolo 8, 35131 Padova (Italy)

    2016-02-12

    We obtain a four-dimensional supergravity with spontaneously broken supersymmetry allowing for de Sitter vacua by coupling a superspace action of minimal N=1, D=4 supergravity to a locally supersymmetric generalization of the Volkov-Akulov goldstino action describing the dynamics of a space-filling non-BPS 3-brane in N=1, D=4 superspace. To the quadratic order in the goldstino field the obtained action coincides with earlier constructions of supergravities with nilpotent superfields, while matching the higher-order contributions will require a non-linear redefinition of fields. In the unitary gauge, in which the goldstino field is set to zero, the action coincides with that of Volkov and Soroka. We also show how a nilpotency constraint on a chiral curvature superfield emerges in this formulation.

  1. Supersymmetry and Light Quark Masses in a Realistic Superstring Model

    CERN Document Server

    Halyo, E

    1994-01-01

    We examine the light quark masses in a standard--like superstring model in the four dimensional free fermionic formulation. We find that the supersymmetry constraints in the observable and hidden sectors eliminate all large contributions to $m_u$ and $m_d$ and force them to be much smaller than the other quark masses. The requirement for an acceptable Higgs doublet spectrum results in $m_u<

  2. The Status of Supersymmetry after the LHC Run 1

    CERN Document Server

    Bechtle, Philip; Sander, Christian

    2015-01-01

    Supersymmetry (SUSY) is a complete and renormalisable candidate for an extension of the Standard Model. At an energy scale not too far above the electroweak scale it would solve the hierarchy problem of the SM Higgs boson, dynamically explain electroweak symmetry breaking, and provide a dark-matter candidate. Since it doubles the Standard Model degrees of freedom, SUSY predicts a large number of additional particles, whose properties and effects on precision measurements can be explicitly predicted in a given SUSY model. In this review the motivation for SUSY is outlined, the various searches strategies for SUSY particles at the LHC are described, and the status of SUSY in global analyses after the LHC Run 1 is summarized.

  3. Supersymmetry Searches at the Compact Muon Solenoid (CMS) Experiment, 2011

    CERN Document Server

    Koay, S A

    2012-01-01

    The discovery/exclusion of Supersymmetric models for fundamental interactions of particles is one of the milestones targeted by the Large Hadron Collider (LHC), and in particular comprises of a large part of the physics program of the CMS experiment. Since the initial measurements using the 36\\ipb of integrated luminosity delivered by the LHC in 2010, presently available results utilize about one fifth of the data delivered in 2011, i.e. in the ballpark of 1\\ifb, significantly extending the world limits placed on gluino and squark production signals. An overview of these analyses is presented, highlighting four that had been newly made public as of the date of this conference. The evidence for Supersymmetry (SUSY) is still elusive, and a discussion follows as to where current searches have not yet probed, also pointing out where they might have difficulty ever probing without dedicated arrangements.

  4. ATLAS diboson excess from low scale supersymmetry breaking

    Energy Technology Data Exchange (ETDEWEB)

    Petersson, Christoffer [Department of Fundamental Physics, Chalmers University of Technology,412 96 Göteborg (Sweden); Physique Théorique et Mathématique, Université Libre de Bruxelles,C.P. 231, 1050 Brussels (Belgium); International Solvay Institutes,1050 Brussels (Belgium); Torre, Riccardo [Dipartimento di Fisica e Astronomia, Università di Padova and INFN Sezione di Padova,Via Marzolo 8, I-35131 Padova (Italy)

    2016-01-18

    We provide an interpretation of the recent ATLAS diboson excess in terms of a class of supersymmetric models in which the scale of supersymmetry (SUSY) breaking is in the few TeV range. The particle responsible for the excess is the scalar superpartner of the Goldstone fermion associated with SUSY breaking, the sgoldstino. This scalar couples strongly to the Standard Model vector bosons and weakly to the fermions, with all coupling strengths determined by ratios of soft SUSY breaking parameters over the SUSY breaking scale. Explaining the ATLAS excess selects particular relations and ranges for the gaugino masses, while imposing no constraints on the other superpartner masses. Moreover, this signal hypothesis predicts a rate in the Zγ final state that is expected to be observable at the LHC Run II already with a few fb{sup −1} of integrated luminosity.

  5. Multilepton signals of gauge mediated supersymmetry breaking at the LHC

    CERN Document Server

    D'Hondt, Jorgen; Fuks, Benjamin; Mariotti, Alberto; Mawatari, Kentarou; Petersson, Christoffer; Redigolo, Diego

    2014-01-01

    We investigate multilepton LHC signals arising from electroweak processes involving sleptons. We consider the framework of general gauge mediated supersymmetry breaking, focusing on models where the low mass region of the superpartner spectrum consists of the three generations of charged sleptons and the nearly massless gravitino. We demonstrate how such models can provide an explanation for the anomalous four lepton events recently observed by the CMS collaboration, while satisfying other existing experimental constraints. The best fit to the CMS data is obtained for a selectron/smuon mass of around 145 GeV and a stau mass of around 90 GeV. These models also give rise to final states with more than four leptons, offering alternative channels in which they can be probed and we estimate the corresponding production rates at the LHC.

  6. Supersymmetry breaking metastable vacua in runaway quiver gauge theories

    CERN Document Server

    Garcia-Etxebarria, Inaki; Uranga, Angel M

    2007-01-01

    In this paper we consider quiver gauge theories with fractional branes whose infrared dynamics removes the classical supersymmetric vacua (DSB branes). We show that addition of flavors to these theories (via additional non-compact branes) leads to local meta-stable supersymmetry breaking minima, closely related to those of SQCD with massive flavors. We simplify the study of the one-loop lifting of the accidental classical flat directions by direct computation of the pseudomoduli masses via Feynman diagrams. This new approach allows to obtain analytic results for all these theories. This work extends the results for the $dP_1$ theory in hep-th/0607218. The new approach allows to generalize the computation to general examples of DSB branes, and for arbitrary values of the superpotential couplings.

  7. Search for Supersymmetry with Vector Boson Fusion-like Topology

    Science.gov (United States)

    Celik, Ali; CMS Collaboration

    2017-01-01

    A search of supersymmetry (SUSY) with two jets in vector-boson fusion (VBF) topology is presented using data collected by the CMS detector in proton-proton collisions at the LHC. Final states containing at least one low energy lepton are expected in SUSY compressed mass spectra for pair production of charginos and neutralinos. The standard model backgrounds are reduced by requiring a presence of missing energy and two jets with large rapidity separation expected in VBF topology. The final state without leptons in VBF dijet + MET topology provides a stringent limit on squark mass in the compressed mass scenario. We will show results from zero and dilepton final states at 8 TeV and single lepton study at 13 TeV.

  8. Supersymmetry and string theory beyond the standard model

    CERN Document Server

    Dine, Michael

    2015-01-01

    The past decade has witnessed dramatic developments in the fields of experimental and theoretical particle physics and cosmology. This fully updated second edition is a comprehensive introduction to these recent developments and brings this self-contained textbook right up to date. Brand new material for this edition includes the groundbreaking Higgs discovery, results of the WMAP and Planck experiments. Extensive discussion of theories of dynamical electroweak symmetry breaking and a new chapter on the landscape, as well as a completely rewritten coda on future directions gives readers a modern perspective on this developing field. A focus on three principle areas: supersymmetry, string theory, and astrophysics and cosmology provide the structure for this book which will be of great interest to graduates and researchers in the fields of particle theory, string theory, astrophysics and cosmology. The book contains several problems, and password-protected solutions will be available to lecturers at www.cambrid...

  9. AdS{sub 5} backgrounds with 24 supersymmetries

    Energy Technology Data Exchange (ETDEWEB)

    Beck, S. [Department of Mathematics, King’s College London,Strand, London WC2R 2LS (United Kingdom); Gutowski, J. [Department of Mathematics, University of Surrey, Guildford, GU2 7XH (United Kingdom); Papadopoulos, G. [Department of Mathematics, King’s College London,Strand, London WC2R 2LS (United Kingdom)

    2016-06-21

    We prove a non-existence theorem for smooth AdS{sub 5} solutions with connected, compact without boundary internal space that preserve strictly 24 supersymmetries. In particular, we show that D=11 supergravity does not admit such solutions, and that all such solutions of IIB supergravity are locally isometric to the AdS{sub 5}×S{sup 5} maximally supersymmetric background. Furthermore, we prove that (massive) IIA supergravity also does not admit such solutions, provided that the homogeneity conjecture for massive IIA supergravity is valid. In the context of AdS/CFT these results imply that if gravitational duals for strictly N=3 superconformal theories in 4-dimensions exist, they are either singular or their internal spaces are not compact.

  10. $\\mu$ term and supersymmetry breaking from six dimensional theory

    CERN Document Server

    Adachi, Yuki; Yamashita, Toshifumi

    2014-01-01

    We propose a new next-to-minimal supersymmetric standard model (NMSSM) which is on a six-dimensional spacetime compactified on a $T^2/Z_3$ orbifold. In this model, three gauge singlet fields $N, S_1$ and $S_2$ in addition to the minimal supersymmetric standard model (MSSM) fields are introduced. These fields are localized at some fixed points except for the singlet $N$ and the gauge fields. The $\\mu$ parameter is provided from the vacuum expectation value (vev) of $N$. The $F$ terms get vevs simultaneously, and the gauginos mediate the supersymmetry breaking to the MSSM sector. Both of these parameters are strongly suppressed due to the profile of $N$. Thus these parameters induced from those of the order of the so-called GUT scale can become close to the electroweak scale without unnatural fine tuning.

  11. Aspects of the Supersymmetry Algebra in Four Dimensional Euclidean Space

    CERN Document Server

    McKeon, D G C

    1998-01-01

    The simplest supersymmetry (SUSY) algebra in four dimensional Euclidean space ($4dE$) has been shown to closely resemble the $N = 2$ SUSY algebra in four dimensional Minkowski space ($4dM$). The structure of the former algebra is examined in greater detail in this paper. We first present its Clifford algebra structure. This algebra shows that the momentum Casimir invariant of physical states has an upper bound which is fixed by the central charges. Secondly, we use reduction of the $N = 1$ SUSY algebra in six dimensional Minkowski space ($6dM$) to $4dE$; this reproduces our SUSY algebra in $4dE$. Moreover, this same reduction of supersymmetric Yang-Mills theory (SSYM) in $6dM$ reproduces Zumino's SSYM in $4dE$. We demonstrate how this dimensional reduction can be used to introduce additional generators into the SUSY algebra in $4dE$.

  12. Electroweak Supersymmetry with an Approximate U(1)_PQ

    Energy Technology Data Exchange (ETDEWEB)

    Hall, L.J.; Watari, T.

    2004-05-12

    A predictive framework for supersymmetry at the TeV scale is presented, which incorporates the Ciafaloni-Pomarol mechanism for the dynamical determination of the \\mu parameter of the MSSM. It is replaced by (\\lambda S), where S is a singlet field, and the axion becomes a heavy pseudoscalar, G, by adding a mass, m_G, by hand. The explicit breaking of Peccei-Quinn (PQ) symmetry is assumed to be sufficiently weak at the TeV scale that the only observable consequence is the mass m_G. Three models for the explicit PQ breaking are given; but the utility of this framework is that the predictions for all physics at the electroweak scale are independent of the particular model for PQ breaking. Our framework leads to a theory similar to the MSSM, except that \\mu is predicted by the Ciafaloni-Pomarol relation, and there are light, weakly-coupled states in the spectrum. The production and cascade decay of superpartners at colliders occurs as in the MSSM, except that there is one extra stage of the cascade chain, with the next-to-LSP decaying to its"superpartner" and \\tilde{s}, dramatically altering the collider signatures for supersymmetry. The framework is compatible with terrestrial experiments and astrophysical observations for a wide range of m_G and. If G is as light as possible, 300 keV< m_G< 3 MeV, it can have interesting effects on the radiation energy density during the cosmological eras of nucleosynthesis and acoustic oscillation, leading to predictions for N_{\

  13. Transmutations of supersymmetry through soliton scattering, and self-consistent condensates

    CERN Document Server

    Arancibia, Adrian

    2014-01-01

    We consider the two most general families of the (1+1)D Dirac systems with transparent scalar potentials, and two related families of the paired reflectionless Schrodinger operators. The ordinary N=2 supersymmetry for such Schrodinger pairs is enlarged up to an exotic N=4 nonlinear centrally extended supersymmetric structure, which involves two bosonic integrals composed from the Lax-Novikov operators for the stationary Korteweg-de Vries hierarchy. Each associated single Dirac system displays a proper N=2 nonlinear supersymmetry with a non-standard grading operator. One of the two families of the first and second order systems exhibits the unbroken supersymmetry, while another is described by the broken exotic supersymmetry. The two families are shown to be mutually transmuted by applying a certain limit procedure to the soliton scattering data. We relate the topologically trivial and nontrivial transparent potentials with self-consistent inhomogeneous condensates in Bogoliubov-de Gennes and Gross-Neveu model...

  14. On Supersymmetry Breaking in String Theory and its Realization in Brane Worlds

    CERN Document Server

    Mayr, Peter

    2001-01-01

    We use string duality to describe instanton induced spontaneous supersymmetry breaking in string compactifications with additional background fields. Dynamical supersymmetry breaking by space-time instantons in the heterotic string theory is mapped to a tree level breaking in the type II string which can be explicitly calculated by geometric methods. It is argued that the instanton corrections resurrect the no-go theorem on partial supersymmetry breaking. The point particle limit describes the non-perturbative scalar potential of a SYM theory localized on a hypersurface of space-time. The N=0 vacuum displays condensation of magnetic monopoles and confinement. The supersymmetry breaking scale is determined by $M_{str}$, which can be in the TeV range, and the geometry transverse to the gauge theory.

  15. Scanning of the supersymmetry breaking scale and the gravitino mass in supergravity

    Energy Technology Data Exchange (ETDEWEB)

    Farakos, Fotis [Dipartimento di Fisica “Galileo Galilei”, Universita di Padova,Via Marzolo 8, 35131 Padova (Italy); INFN, Sezione di Padova,Via Marzolo 8, 35131 Padova (Italy); Kehagias, Alex [Physics Division, National Technical University of Athens, 15780 Zografou Campus, Athens (Greece); Racco, Davide; Riotto, Antonio [Department of Theoretical Physics and Center for Astroparticle Physics (CAP),24 quai E. Ansermet, CH-1211 Geneva 4 (Switzerland)

    2016-06-21

    We consider the minimal three-form N=1 supergravity coupled to nilpotent three-form chiral superfields. The supersymmetry breaking is sourced by the three-forms of the chiral multiplets, while the value of the gravitino mass is controlled by the three-form of the supergravity multiplet. The three-forms can nucleate membranes which scan both the supersymmetry breaking scale and the gravitino mass. The peculiar supergravity feature that the cosmological constant is the sum of a positive contribution from the supersymmetry breaking scale and a negative contribution from the gravitino mass makes the cosmological constant jump. This can lead to a phenomenologically allowed small value of the cosmological constant even though the supersymmetry breaking scale and the gravitino mass are dynamically large.

  16. Scanning of the Supersymmetry Breaking Scale and the Gravitino Mass in Supergravity

    CERN Document Server

    Farakos, Fotis; Racco, Davide; Riotto, Antonio

    2016-01-01

    We consider the minimal three-form ${\\cal N}=1$ supergravity coupled to nilpotent three-form chiral superfields. The supersymmetry breaking is sourced by the three-forms of the chiral multiplets, while the value of the gravitino mass is controlled by the three-form of the supergravity multiplet. The three-forms can nucleate membranes which scan both the supersymmetry breaking scale and the gravitino mass. The peculiar supergravity feature that the cosmological constant is the sum of a positive contribution from the supersymmetry breaking scale and a negative contribution from the gravitino mass makes the cosmological constant jump. This can lead to a phenomenologically allowed small value of the cosmological constant even though the supersymmetry breaking scale and the gravitino mass are dynamically large.

  17. Origin of Soft Limits from Nonlinear Supersymmetry in Volkov--Akulov Theory

    CERN Document Server

    Kallosh, Renata; Murli, and Divyanshu

    2016-01-01

    We apply the background field technique, recently developed for a general class of nonlinear symmetries, at tree level, to the Volkov--Akulov theory with spontaneously broken N=1 supersymmetry. We find that the background field expansion in terms of the free fields to the lowest order reproduces the nonlinear supersymmetry transformation rules. The double soft limit of the background field is, in agreement with the new general identities, defined by the algebra of the nonlinear symmetries.

  18. Supersymmetry Breaking through Boundary Conditions Associated with the $U(1)_{R}$

    CERN Document Server

    Takenaga, K

    1998-01-01

    The effects of boundary conditions imposed on the fields for the compactified space directions to the supersymmetric theories are discussed. The boundary conditions can be taken to be periodic up to the degrees of freedom of localized $U(1)_{R}$ transformations. The boundary condition breaks the supersymmetry to yield universal soft supersymmetry breaking terms. The 4-dimensional supersymmetric QED with one flavour and the pure supersymmetric QCD are studied as toy models when one of the space coordinates is compactified on $S^1$.

  19. Discriminating supersymmetry and black holes at the CERN Large Hadron Collider

    Science.gov (United States)

    Roy, Arunava; Cavaglià, Marco

    2008-03-01

    We show how to differentiate the minimal supersymmetric extension of the standard model from black hole events at the CERN Large Hadron Collider. Black holes are simulated with the CATFISH generator. Supersymmetry simulations use a combination of pythia and isajet. Our study, based on event-shape variables, visible and missing momenta, and analysis of dilepton events, demonstrates that supersymmetry and black hole events at the LHC can be easily discriminated.

  20. Event shape variables in supersymmetry searches at 7 TeV LHC

    Indian Academy of Sciences (India)

    Dipan Sngupta

    2012-11-01

    Supersymmetry (SUSY) signatures are probed at the Large Hadron Collider with 7 TeV energy in the framework of CMSSM with a new set of cuts based on event shapes and jet energy scales. It is showed that with our cuts, it is possible to probe a large portion of CMSSM parameter space in situations, where the SUSY cascade decay chain produces hard multijets + missing energy. We also extend our analysis to include other supersymmetries which produce hard multijets + missing energy.