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Sample records for dyons

  1. Confining Dyon-Anti-Dyon Coulomb Liquid Model I

    CERN Document Server

    Liu, Yizhuang; Zahed, Ismail

    2015-01-01

    We revisit the dyon-anti-dyon liquid model for the Yang-Mills confining vacuum discussed by Diakonov and Petrov, by retaining the effects of the classical interactions mediated by the streamline between the dyons and anti-dyons. In the SU(2) case the model describes a 4-component strongly interacting Coulomb liquid in the center symmetric phase. We show that in the linearized screening approximation the streamline interactions yield Debye-Huckel type corrections to the bulk parameters such as the pressure and densities, but do not alter significantly the large distance behavior of the correlation functions in leading order. The static scalar and charged structure factors are consistent with a plasma of a dyon-anti-dyon liquid with a Coulomb parameter $\\Gamma_{D\\bar D}\\approx 1$ in the dyon-anti-dyon channel. Heavy quarks are still linearly confined and the large spatial Wilson loops still exhibit area laws in leading order.

  2. Finite energy electroweak dyon

    Energy Technology Data Exchange (ETDEWEB)

    Kimm, Kyoungtae [Seoul National University, Faculty of Liberal Education, Seoul (Korea, Republic of); Yoon, J.H. [Konkuk University, Department of Physics, College of Natural Sciences, Seoul (Korea, Republic of); Cho, Y.M. [Konkuk University, Administration Building 310-4, Seoul (Korea, Republic of); Seoul National University, School of Physics and Astronomy, Seoul (Korea, Republic of)

    2015-02-01

    The latest MoEDAL experiment at LHC to detect the electroweak monopole makes the theoretical prediction of the monopole mass an urgent issue. We discuss three different ways to estimate the mass of the electroweak monopole. We first present the dimensional and scaling arguments which indicate the monopole mass to be around 4 to 10 TeV. To justify this we construct finite energy analytic dyon solutions which could be viewed as the regularized Cho-Maison dyon, modifying the coupling strength at short distance. Our result demonstrates that a genuine electroweak monopole whose mass scale is much smaller than the grand unification scale can exist, which can actually be detected at the present LHC. (orig.)

  3. "Triangular" extremal dilatonic dyons

    CERN Document Server

    Gal'tsov, Dmitri; Orlov, Dmitri

    2014-01-01

    Explicit dyonic dilaton black holes of the four-dimensional Einstein-Maxwell-dilaton theory are known only for two particular values of the dilaton coupling constant $a =1,\\sqrt{3}$, while for other $a$ numerical evidence was presented earlier about existence of extremal dyons in theories with the discrete sequence of dilaton couplings $a=\\sqrt{n(n+1)/2}$ with integer $n$. Apart from the lower members $n=1,\\,2$, this family of theories does not have motivation from supersymmetry or higher dimensions, and so far the above quantization rule has not been derived analytically. We fill this gap showing that this rule follows from analyticity of the dilaton at the $AdS_2\\times S^2$ event horizon with $n$ being the leading dilaton power in the series expansion. We also present generalization for asymptotically anti-de Sitter dyonic black holes with spherical, plane and hyperbolic topology of the horizon.

  4. Gravitating Dyons in Vaidya Geometry

    CERN Document Server

    Tripathi, Buddhi Vallabh; Dehnen, Heinz; Purohit, K D

    2014-01-01

    Gravitating monopoles and dyons in Einstein-Yang-Mills (EYM) or Einstein-Yang-Mills-Higgs (EYMH) systems have been extensively studied for various curved spacetimes, including those of black holes. We construct dyonic solutions of the EYMH theory in Vaidya spacetime using a set of generalized Julia-Zee ansatz for the fields. It is found that the dyonic charge is static in nature and it does not contribute to the energy of the null dust.

  5. Dyons of One Half Monopole Charge

    CERN Document Server

    Teh, R; Teh, Rosy; Wong, Khai-Ming

    2005-01-01

    We would like to present some exact SU(2) Yang-Mills-Higgs dyon solutions of one half monopole charge. These static dyon solutions satisfy the first order Bogomol'nyi equations and are characterized by a parameter, $m$. They are axially symmetric. The gauge potentials and the electromagnetic fields possess a string singularity along the negative z-axis and hence they possess infinite energy density along the line singularity. However the net electric charges of these dyons which varies with the parameter $m$ are finite.

  6. Dyons of One-Half Monopole Charge

    Science.gov (United States)

    Teh, Rosy; Wong, Khai-Ming

    We would like to present some exact SU(2) Yang-Mills-Higgs dyon solutions of one-half monopole charge. These static dyon solutions satisfy the first order Bogomol'nyi equations and are characterized by a parameter, m. They are axially symmetric. The gauge potentials and the electromagnetic fields possess a string singularity along the negative z-axis and hence they possess infinite energy density along the line singularity. However the net electric charges of these dyons which varies with the parameter m are finite.

  7. Dyons near the Planck scale

    CERN Document Server

    Laperashvili, L V; Laperashvili, Larisa

    2006-01-01

    In the present talk we suggest a new model of preons-dyons making composite quark-leptons and bosons, described by the supersymmetric string-inspired flipped E_6\\times \\tilde E_6 gauge group of symmetry. This investigation predicts the possible extension of the Standard Model to the Family replicated gauge group model of type G^{N_{fam}}, where N_{fam} is the number of families. Here E_6 and \\tilde E_6 are non-dual and dual sectors of theory with hyper-electric g and hyper-magnetic \\tilde g charges, respectively. Our model is based on the recent theory of composite non-Abelian flux tubes in SQCD. Considering the breakdown of E_6 (and \\tilde E_6) at the Planck scale into the SU(6)\\times U(1) gauge group, we have shown that the six types of composite N = 1 supersymmetric non-Abelian flux tubes are created by the condensation of spreons-dyons near the Planck scale and have fluxes quantized according to the Z_6 center group of SU(6): \\Phi_n = n\\Phi_0 (n = \\pm 1,\\pm 2,\\pm 3). These fluxes give three types of k-str...

  8. Gravitating BPS dyons witout a dilaton

    CERN Document Server

    Lee, C; Lee, Choonkyu; Park, Q Han

    1996-01-01

    We describe curved-space BPS dyon solutions, the ADM mass of which saturates the gravitational version of the Bogomol'nyi bound. This generalizes self-gravitating BPS monopole solutions of Gibbons et al. when there is no dilaton.

  9. The Dyon Charge in Noncommutative Gauge Theories

    Directory of Open Access Journals (Sweden)

    L. Cieri

    2008-01-01

    Full Text Available We construct a dyon solution for the noncommutative version of the Yang-Mills-Higgs model with a ϑ-term. Extending the Noether method to the case of a noncommutative gauge theory, we analyze the effect of CP violation induced both by the ϑ-term and by noncommutativity proving that the Witten effect formula for the dyon charge remains the same as in ordinary space.

  10. Dyons in Nonabelian Born-Infeld Theory

    CERN Document Server

    Balaz, A; Radovanovic, Voja

    2002-01-01

    We analyze a nonabelian extension of Born--Infeld action for the SU(2) group. In the class of spherically symmetric solutions we find that, besides the Gal'tsov--Kerner glueballs, only the analytic dyons have finite energy. The presented analytic and numerical investigation excludes the existence of pure magnetic monopoles of 't Hooft--Polyakov type.

  11. How to check that dyons are at work?

    CERN Document Server

    Diakonov, Dmitri

    2010-01-01

    I present arguments in favor of the dyon mechanism of confinement and deconfinement. Dyons may be those real physical objects that are revealed as lattice monopoles in the Abelian gauges, and as central vortices in the central gauges. I suggest a lattice calculation of the effective action as function of the gauge invariant eigenvalues of the Polyakov line, which is of general interest but in particular may support or refute the importance of dyons in the Yang--Mills vacuum.

  12. Eikonal Scattering of Monopoles and Dyons in Dual QED

    CERN Document Server

    Gamberg, L P; Gamberg, Leonard; Milton, Kimball A.

    2000-01-01

    The quantum field theory of electron-point magnetic monopole interactions and dyon-dyon interactions, based on the string-dependent ``nonlocal'' action of Dirac and Schwinger is developed. We demonstrate that a nonperturbative quantum field theoretic formulation can be constructed resulting in a string {\\em independent} cross section for monopole-electron and dyon-dyon scattering. Such calculations can be done only by using nonperturbative approximations such as the eikonal and not by some mutilation of lowest-order perturbation theory.

  13. Dual Quantum Electrodynamics Dyon-Dyon and Charge-Monopole Scattering in a High-Energy Approximation

    CERN Document Server

    Gamberg, L P; Gamberg, Leonard; Milton, Kimball A.

    2000-01-01

    We develop the quantum field theory of electron-point magnetic monopole interactions and more generally, dyon-dyon interactions, based on the original string-dependent ``nonlocal'' action of Dirac and Schwinger. We demonstrate that a viable nonperturbative quantum field theoretic formulation can be constructed that results in a string {\\em independent} cross section for monopole-electron and dyon-dyon scattering. Such calculations can be done only by using nonperturbative approximations such as the eikonal and not by some mutilation of lowest-order perturbation theory.

  14. One and a half dyons solution

    Science.gov (United States)

    Ng, Ban-Loong; Teh, Rosy; Wong, Khai-Ming

    2015-04-01

    Recently we have reported on the coexistence of a finite energy SU(2) Yang-Mills-Higgs particle of one-half topological charge and a 't Hooft-Polyakov monopole of opposite charges. In this paper, we show that this purely magnetic solution can be extended into one and a half dyons solution by introducing electric charge into the system. This configuration possesses finite energy, angular momentum and magnetic dipole moment and is able to rotate when external magnetic field is switched on. Similar to the one-half dyon and monopole-antimonopole pair dyons solutions, when electric charge parameter η is non-vanishing, the physical quantities like total energy, magnetic dipole moment, dipole separation, and electric charge of this solution increase exponentially fast to infinity as the Higgs self-coupling constant λ approaches zero. For non-vanishing λ, these quantities possess a critical value as η approaches one. However, for larger values of λ, the magnetic dipoles moment and dipole separation decrease with increasing η which certainly differ from the norm.

  15. Counting dyons in N = 4 string theory

    Science.gov (United States)

    Dijkgraaf, Robbert; Verlinde, Erik; Verlinde, Herman

    1997-02-01

    We present a microscopic index formula for the degeneracy of dyons in four-dimensional N = 4 string theory. This counting formula is manifestly symmetric under the duality group, and its asymptotic growth reproduces the macroscopic Bekenstein-Hawking entropy. We give a derivation of this result in terms of the type 11 five-brane compactified on K3, by assuming that its fluctuations are described by a closed string theory on its world-volume. We find that the degeneracies are given in terms of the denominator of a generalized super Kac-Moody algebra. We also discuss the correspondence of this result with the counting of D-brane states.

  16. Counting dyons in N=4 string theory

    CERN Document Server

    Dijkgraaf, R; Verlinde, Herman L

    1997-01-01

    We present a microscopic index formula for the degeneracy of dyons in four-dimensional N=4 string theory. This counting formula is manifestly symmetric under the duality group, and its asymptotic growth reproduces the macroscopic Bekenstein-Hawking entropy. We give a derivation of this result in terms of the type II five-brane compactified on K3, by assuming that its fluctuations are described by a closed string theory on its world-volume. We find that the degeneracies are given in terms of the denominator of a generalized super Kac-Moody algebra. We also discuss the correspondence of this result with the counting of D-brane states.

  17. Light Quarks in the Screened Dyon-Anti-Dyon Coulomb Liquid Model II

    CERN Document Server

    Liu, Yizhuang; Zahed, Ismail

    2015-01-01

    We discuss an extension of the dyon-anti-dyon liquid model that includes light quarks in the dense center symmetric Coulomb phase. In this work, like in our previous one, we use the simplest color SU(2) group. We start with a single fermion flavor $N_f=1$ and explicitly map the theory onto a 3-dimensional quantum effective theory with a fermion that is only U$_V(1)$ symmetric. We use it to show that the dense center symmetric plasma develops, in the mean field approximation, a nonzero chiral condensate, although the ensuing Goldstone mode is massive due to the U$_A(1)$ axial-anomaly. We estimate the chiral condensate and $\\sigma,\\eta$ meson masses for $N_f=1$. We then extend our analysis to several flavors $N_f>1$ and colors $N_c>2$ and show that center symmetry and spontaneous chiral symmetry breaking disappear simultaneously when $x=N_f/N_c\\geq 2$ in the dense plasma phase. A reorganization of the dense plasma phase into a gas of dyon-antidyon molecules restores chiral symmetry, but may preserve center symm...

  18. Counting dyons in N=4 string theory

    Energy Technology Data Exchange (ETDEWEB)

    Dijkgraaf, R. [Amsterdam Univ. (Netherlands). Dept. of Mathematics and Computer Science; Verlinde, E. [TH-Division, CERN, CH-1211 Geneva 23 (Switzerland)]|[Institute for Theoretical Physics, Universtity of Utrecht, 3508 TA Utrecht (Netherlands); Verlinde, H. [Institute for Theoretical Physics, University of Amsterdam, 1018 XE Amsterdam (Netherlands)]|[Joseph Henry Laboratories, Princeton University, Princeton, NJ 08544 (United States)

    1997-01-27

    We present a microscopic index formula for the degeneracy of dyons in four-dimensional N=4 string theory. This counting formula is manifestly symmetric under the duality group, and its asymptotic growth reproduces the macroscopic Bekenstein-Hawking entropy. We give a derivation of this result in terms of the type II five-brane compactified on K3, by assuming that its fluctuations are described by a closed string theory on its world-volume. We find that the degeneracies are given in terms of the denominator of a generalized super Kac-Moody algebra. We also discuss the correspondence of this result with the counting of D-brane states. (orig.).

  19. Statistical physics of dyons and confinement

    CERN Document Server

    Diakonov, Dmitri

    2008-01-01

    We present a semiclassical description of the SU(N) Yang--Mills theory whose partition function at nonzero temperatures is approximated by that of an ensemble of N kinds of interacting dyons. The ensemble is mathematically described by an exactly solvable 3d quantum field theory, allowing calculation of correlations functions relevant to confinement. We show that all known criteria of confinement are satisfied in this semiclassical approximation: (i) the average Polyakov line is zero below some critical temperature, and nonzero above it, (ii) static quarks in any nonzero N-ality representation have linear rising potential energy, (iii) the average spatial Wilson loop falls off exponentially with the area, (iv) N^2 gluons are canceled out from the spectrum, (v) the critical temperature is in good agreement with lattice data.

  20. Counting all dyons in {N} = 4 string theory

    Science.gov (United States)

    Dabholkar, Atish; Gomes, João; Murthy, Sameer

    2011-05-01

    For dyons in heterotic string theory compactified on a six-torus, with electric charge vector Q and magnetic charge vector P, the positive integer I ≡ gcd( Q ∧ P) is an invariant of the U-duality group. We propose the microscopic theory for computing the spectrum of all dyons for all values of I, generalizing earlier results that exist only for the simplest case of I = 1. Our derivation uses a combination of arguments from duality, 4d-5d lift, and a careful analysis of fermionic zero modes. The resulting degeneracy agrees with the black hole degeneracy for large charges and with the degeneracy of field-theory dyons for small charges. It naturally satisfies several physical requirements including integrality and duality invariance. As a byproduct, we also derive the microscopic (0 , 4) superconformal field theory relevant for computing the spectrum of five-dimensional Strominger-Vafa black holes in ALE backgrounds and count the resulting degeneracies.

  1. Dyons and Roberge - Weiss transition in lattice QCD

    CERN Document Server

    Bornyakov, V G; Goy, V A; Ilgenfritz, E -M; Martemyanov, B V; Molochkov, A V; Nakamura, Atsushi; Nikolaev, A A; Zakharov, V I

    2016-01-01

    We study lattice QCD with $N_f=2$ Wilson fermions at nonzero imaginary chemical potential and nonzero temperature. We relate the Roberge - Weiss phase transition to the properties of dyons which are constituents of the KvBLL calorons. We present numerical evidence that the characteristic features of the spectral gap of the overlap Dirac operator as function of an angle modifying the boundary condition are determined by the $Z_3$ sector of the respective imaginary chemical potential. We then demonstrate that dyon excitations in thermal configurations could be responsible (in line with perturbative excitations) for these phenomena.

  2. Are Preons Dyons? Naturalness of Three Generations

    CERN Document Server

    Das, C R; Laperashvili, Larisa

    2006-01-01

    In the present paper the model of preons and their composites is constructed in the framework of the superstring-inspired E_6\\times \\widetilde{E_6} gauge group of symmetry which reveals a generalized dual symmetry. Here E_6 and \\widetilde{E_6} are non-dual and dual sectors of theory with hyper-electric g and hyper-magnetic \\tilde g charges, respectively. We follow the old idea by J. Pati presuming that preons are dyons, which in our model are confined by hyper-magnetic strings - composite {\\bf N}=1 supersymmetric non-Abelian flux tubes created by the condensation of spreons near the Planck scale. Considering preons belonging to the 27-plet of E_6, we have investigated the breakdown of E_6 (and \\widetilde{E_6}) near the Planck scale into the SU(6)\\times U(1) (and \\widetilde{SU(6)}\\times \\widetilde{U(1)}) gauge group and shown that the six types of strings having fluxes \\Phi_n=n\\Phi_0 (n=\\pm 1,\\pm 2,\\pm 3) produce three (and only three) generations of composite quark-leptons and bosons. The model predicts the e...

  3. “Triangular” extremal dilatonic dyons

    Directory of Open Access Journals (Sweden)

    Dmitri Gal'tsov

    2015-04-01

    Full Text Available Explicit dyonic solutions in four-dimensional Einstein–Maxwell-dilaton theory are known only for three particular values of the dilaton coupling constant: a=0,1,3. However, numerical evidence was presented on existence of dyons admitting an extremal limit in theories with more general sequence of dilaton couplings a=n(n+1/2 labeled by an integer n. Apart from the lower members n=0,1,2, this family of theories does not have motivation from supergravity/string theory, and analytical origin of the above sequence remained unclear so far. We fill the gap showing that this formula follows from analyticity of the dilaton function at the AdS2×S2 event horizon of the extremal dyonic black hole, with n being the leading dilaton power in the Taylor expansion. We also derive generalization of this rule for asymptotically anti-de Sitter dyonic black holes with spherical, planar and hyperbolic topology of the horizon.

  4. Particle mesh Ewald's method and noninteracting dyon gas

    Science.gov (United States)

    Kiamari, Motahareh; Deldar, Sedigheh

    2017-08-01

    We study the free energy of a quark-antiquark pair near the deconfinement temperature by particle mesh Ewald's method for noninteracting dyon ensemble. We show that the free energy of the quark-antiquark pair increases linearly by increasing the distance between them. The string tension decreases by increasing the temperature, as expected.

  5. Gravitational Collapse of Radiating Dyon Solution and Cosmic Censorship Hypothesis

    Institute of Scientific and Technical Information of China (English)

    K.D.Patil; S.S.Zade; A.N.Mohod

    2008-01-01

    @@ We investigate the possibifity of cosmic censorship violation in the gravitational collapse of radiating dyon solution.It is shown that the final outcome of the collapse depends sensitively on the electric and magnetic charge parameters.The graphs of the outer apparent horizon,inner Cauchy horizon for different values of parameters are drawn.

  6. Particle Mesh Ewald's Method and Non-Interacting Dyon Gas

    CERN Document Server

    Kiamari, Motahareh

    2016-01-01

    We study the free energy of a quark-antiquark pair near the deconfinement temperature by particle mesh Ewald's method for non-interacting dyon ensemble. We show that the free energy of the quark-antiquark pair increases linearly by increasing the distance between them. However, close to the deconfinement temperature some signs of string breaking are observed.

  7. Instanton-dyon Ensemble with two Dynamical Quarks: the Chiral Symmetry Breaking

    CERN Document Server

    Larsen, Rasmus

    2015-01-01

    This is the second paper of the series aimed at understanding of the ensemble of the instanton-dyons, now with two flavors of light dynamical quarks. The partition function is appended by the fermionic factor, $(det T)^{N_f}$ and Dirac eigenvalue spectra at small values are derived from the numerical simulation of 64 dyons. Those spectra show clear chiral symmetry breaking pattern at high dyon density. Within current accuracy, the confinement and chiral transitions occur at very similar densities.

  8. Confinement and deconfinement for any gauge group from dyons viewpoint

    CERN Document Server

    Diakonov, Dmitri

    2010-01-01

    Basing on a semiclassical picture of dyons, we present a nonperturbative model of a pure Yang--Mills theory at any temperatures, for an arbitrary simple gauge group. We argue that at low temperatures dyons drive the Yang--Mills system for all groups to a phase where the `eigenphases' of the Polyakov line are, as a vector, proportional to the Weyl vector being the half sum of positive roots. For most gauge groups it means confinement, in particular for `quarks' in any N-ality nonzero representation of the SU(N) gauge group. At a critical temperature there is a 1st order phase transition for all groups (except SU(2) where the transition is 2nd order), characterized by a jump of Polyakov lines, irrespectively of whether the gauge group has a nontrivial center, or not.

  9. Product Representation of Dyon Partition Function in CHL Models

    CERN Document Server

    David, J R; Sen, A; David, Justin R.; Jatkar, Dileep P.; Sen, Ashoke

    2006-01-01

    A formula for the exact partition function of 1/4 BPS dyons in a class of CHL models has been proposed earlier. The formula involves inverse of Siegel modular forms of subgroups of Sp(2,Z). In this paper we propose product formulae for these modular forms. This generalizes the result of Gritsenko and Nikulin for the weight 10 cusp form of the full Sp(2,Z) group.

  10. Product representation of dyon partition function in CHL models

    Science.gov (United States)

    David, Justin R.; Jatkar, Dileep P.; Sen, Ashoke

    2006-06-01

    A formula for the exact partition function of 1/4 BPS dyons in a class of CHL models has been proposed earlier. The formula involves inverse of Siegel modular forms of subgroups of Sp(2,Bbb Z). In this paper we propose product formulae for these modular forms. This generalizes the result of Borcherds and Gritsenko and Nikulin for the weight 10 cusp form of the full Sp(2,Bbb Z) group.

  11. Instanton-dyon Ensembles III: Exotic Quark Flavors

    CERN Document Server

    Larsen, Rasmus

    2016-01-01

    "Exotic quarks" in the title refers to a modification of quark periodicity condition on the thermal circle by introduction of some phases -- known also as "flavor holonomies" -- different quark flavors. These phases provide a valuable tool, to be used for better understanding of deconfinement and chiral restoration phase transitions: by changing them one can dramatically modify both phase transitions. In the language of instanton constituents -- instanton-dyons or monopoles -- it has a very direct explanation: the interplay of flavor and color holonomies can switch topological zero modes between various dyon types. The model we will study in detail, the so called $Z_{N_c}$-symmetric QCD model with equal number of colors and flavors $N_c=N_f=2$ and special arrangement of flavor and color holonomies, ensure "most democratic" setting, in which each quark flavor and each dyon type are in one-to-one correspondence. The usual QCD has the opposite "most exclusive" arrangement: all quarks are antiperiodic and thus al...

  12. QCD Topology at Finite Temperature: Statistical Mechanics of Selfdual Dyons

    CERN Document Server

    Faccioli, Pietro

    2013-01-01

    Topological phenomena in gauge theories have long been recognized as the driving force for chiral symmetry breaking and confinement. These phenomena can be conveniently investigated in the semi-classical picture, in which the topological charge is entirely carried by (anti-)self-dual gauge configurations. In such an approach, it has been shown that near the critical temperature, the non-zero expectation value of the Polyakov loop (holonomy) triggers the "Higgsing" of the color group, generating the splitting of instantons into $N_c$ self-dual dyons. A number of lattice simulations have provided some evidence for such dyons, and traced their relation with specific observables, such as the Dirac eigenvalue spectrum. In this work, we formulate a model, based on one-loop partition function and including Coulomb interaction, screening and fermion zee modes. We then perform the first numerical Monte Carlo simulations of a statistical ensemble of self-dual dyons,as a function of their density, quark mass and the num...

  13. Hadronic correlation functions in the random instanton-dyon ensemble

    Science.gov (United States)

    Larsen, Rasmus; Shuryak, Edward

    2017-08-01

    It is known since the 1980s that the instanton-induced 't Hooft effective Lagrangian not only can solve the so-called U (1 )a problem, by making the η' meson heavy etc., but it can also lead to chiral symmetry breaking. In the 1990s it was demonstrated that, taken to higher orders, this Lagrangian correctly reproduces effective forces in a large set of hadronic channels, mesonic and baryonic ones. Recent progress in understanding gauge topology at finite temperatures is related with the so-called instanton-dyons, the constituents of the instantons. Some of them, called L -dyons, possess the antiperiodic fermionic zero modes, and thus form a new version of the 't Hooft effective Lagrangian. This paper is our first study of a wide set of hadronic correlation function. We found that, at the lowest temperatures at which this approach is expected to be applicable, those may be well compatible with what is known about them based on phenomenological and lattice studies, provided L and M type dyons are strongly correlated.

  14. The Instanton-Dyon Liquid Model III: Finite Chemical Potential

    CERN Document Server

    Liu, Yizhuang; Zahed, Ismail

    2016-01-01

    We discuss an extension of the instanton-dyon liquid model that includes light quarks at finite chemical potential in the center symmetric phase. We develop the model in details for the case of SU_c(2)\\times SU_f(2) by mapping the theory on a 3-dimensional quantum effective theory. We analyze the different phases in the mean-field approximation. We extend this analysis to the general case of SU_c(N_c)\\times SU_f(N_f) and note that the chiral and diquark pairings are always comparable.

  15. The Instanton-Dyon Liquid Model V: Twisted Light Quarks

    CERN Document Server

    Liu, Yizhuang; Zahed, Ismail

    2016-01-01

    We discuss an extension of the instanton-dyon liquid model that includes twisted light quarks in the fundamental representation with explicit $Z_{N_c}$ symmetry for the case with equal number of colors $N_c$ and flavors $N_f$. We map the model on a 3-dimensional quantum effective theory, and analyze it in the mean-field approximation. The effective potential and the vacuum chiral condensates are made explicit for $N_f=N_c=2, 3$. The low temperature phase is center symmetric but breaks spontaneously flavor symmetry with $N_f-1$ massless pions. The high temperature phase breaks center symmetry but supports finite and unequal quark condensates.

  16. Confinement in a correlated Instanton-Dyon Ensemble

    Science.gov (United States)

    Lopez-Ruiz, Miguel Angel; Jiang, Yin; Liao, Jinfeng

    2017-07-01

    Confinement is a remarkable nonperturbative phenomena emerging from QCD and QCD-like theories. A theoretical understanding of these transitions and their interrelations is of fundamental importance. While it is widely perceived that their dynamics arises from nontrivial topological configurations in Yang-Mills theories, a concrete and sophisticated realization of such idea is an outstanding challenge. We report significant progress along this direction by the construction of a new framework based on correlated ensemble of instanton-dyons, namely the constituents of the finite-temperature instantons with non-trivial holonomy. We present a comprehensive numerical study of confinement properties in SU(2) Yang-Mills theory at finite temperature, obtaining important observables such as the effective holonomy potential, the static quark potentials from Polyakov loop correlators as well as spatial Wilson loops, among others.

  17. BKM superalgebras from counting dyons in N=4 supersymmetric type II compactifications

    CERN Document Server

    Govindarajan, Suresh; Krishna, K Gopala

    2011-01-01

    We study the degeneracy of quarter BPS dyons in N =4 type II compactifications of string theory. We find that the genus-two Siegel modular forms generating the degeneracies of the quarter BPS dyons in the type II theories can be expressed in terms of the genus-two Siegel modular forms generating the degeneracies of quarter BPS dyons in the CHL theories and the heterotic string. This helps us in understanding the algebra structure underlying the degeneracy of the quarter BPS states. The Conway group, Co_1, plays a role similar to Mathieu group, M_{24}, in the CHL models with eta quotients appearing in the place of eta products. We construct BKM Lie superalgebra structures corresponding to Z_N (for N=2,3,4) orbifolds of the type II string compactified on a six-torus.

  18. Confinement, Holonomy and Correlated Instanton-Dyon Ensemble I: SU(2) Yang-Mills Theory

    CERN Document Server

    Lopez-Ruiz, Miguel Angel; Liao, Jinfeng

    2016-01-01

    The mechanism of confinement in Yang-Mills theories remains a challenge to our understanding of nonperturbative gauge dynamics. While it is widely perceived that confinement may arise from chromo-magnetically charged gauge configurations with nontrivial topology, it is not clear what types of configurations could do that and how, in pure Yang-Mills and QCD-like (non-supersymmetric) theories. Recently a promising approach has emerged, based on statistical ensembles of dyons/anti-dyons that are constituents of instanton/anti-instanton solutions with nontrivial holonomy where the holonomy plays a vital role as an effective "Higgsing" mechanism. We report a thorough numerical investigation of the confinement dynamics in SU(2) Yang-Mills theory by constructing such a statistical ensemble of correlated instanton-dyons.

  19. BKM Lie superalgebras from counting twisted CHL dyons

    CERN Document Server

    Govindarajan, Suresh

    2010-01-01

    Following Sen[arXiv:0911.1563], we study the counting of (`twisted') BPS states that contribute to twisted helicity trace indices in four-dimensional CHL models with N=4 supersymmetry. The generating functions of half-BPS states, twisted as well as untwisted, are given in terms of multiplicative eta products with the Mathieu group, M_{24}, playing an important role. These multiplicative eta products enable us to construct Siegel modular forms that count twisted quarter-BPS states. The square-roots of these Siegel modular forms turn out be precisely a special class of Siegel modular forms, the dd-modular forms, that have been classified by Clery and Gritsenko[arXiv:0812.3962]. We show that each one of these dd-modular forms arise as the Weyl-Kac-Borcherds denominator formula of a rank-three Borcherds-Kac-Moody Lie superalgebra. The walls of the Weyl chamber are in one-to-one correspondence with the walls of marginal stability in the corresponding CHL model for twisted dyons as well as untwisted ones. This lead...

  20. Generalized Kac-Moody Algebras from CHL dyons

    CERN Document Server

    Govindarajan, Suresh

    2009-01-01

    We show the existence of a family of generalized Kac-Moody(GKM) superalgebras, G_N, whose Weyl-Kac-Borcherds denominator formula gives rise to a genus-two modular form at level N, Delta_{k/2}(Z), for (N,k)=(1,10),(2,6),(3,4),(5,2). The square of the automorphic form is related to the generating function of the degeneracy of CHL dyons in asymmetric Z_N-orbifolds of the heterotic string compactified on T^6. The new generalized Kac-Moody superalgebras all arise as different `automorphic corrections' of the same Lie algebra and are closely related to a generalized Kac-Moody superalgebra constructed by Gritsenko and Nikulin. The automorphic forms, Delta_{k/2}(Z), seem to arise as additive lifts of weak Jacobi forms of (integral) weight k/2 and index 1/2. We note that the orbifolding acts on the imaginary simple roots of the unorbifolded GKM superalgebra, G_1, leaving the real simple roots untouched. We anticipate that these superalgebras will play a role in understanding the `algebra of BPS states' in CHL compacti...

  1. BKM Lie superalgebras from counting twisted CHL dyons

    Science.gov (United States)

    Govindarajan, Suresh

    2011-05-01

    Following Sen, we study the counting of (`twisted') BPS states that contribute to twisted helicity trace indices in four-dimensional CHL models with mathcal{N} = 4 supersymmetry. The generating functions of half-BPS states, twisted as well as untwisted, are given in terms of multiplicative eta products with the Mathieu group, M 24, playing an important role. These multiplicative eta products enable us to construct Siegel modular forms that count twisted quarter-BPS states. The square-roots of these Siegel modular forms turn out be precisely a special class of Siegel modular forms, the dd-modular forms, that have been classified by Clery and Gritsenko. We show that each one of these dd-modular forms arise as the Weyl-Kac-Borcherds denominator formula of a rank-three Borcherds-Kac-Moody Lie superalgebra. The walls of the Weyl chamber are in one-to-one correspondence with the walls of marginal stability in the corresponding CHL model for twisted dyons as well as untwisted ones. This leads to a periodic table of BKM Lie superalgebras with properties that are consistent with physical expectations.

  2. Generalized Kac-Moody algebras from CHL dyons

    Science.gov (United States)

    Govindarajan, Suresh; Gopala Krishna, K.

    2009-04-01

    We provide evidence for the existence of a family of generalized Kac-Moody (GKM) superalgebras, Script GN, whose Weyl-Kac-Borcherds denominator formula gives rise to a genus-two modular form at level N, Δk/2(Z), for (N, k) = (1, 10), (2, 6), (3, 4), and possibly (5, 2). The square of the automorphic form is the modular transform of the generating function of the degeneracy of CHL dyons in asymmetric Bbb ZN-orbifolds of the heterotic string compactified on T6. The new generalized Kac-Moody superalgebras all arise as different `automorphic corrections' of the same Lie algebra and are closely related to a generalized Kac-Moody superalgebra constructed by Gritsenko and Nikulin. The automorphic forms, Δk/2(Z), arise as additive lifts of Jacobi forms of (integral) weight k/2 and index 1/2. We note that the orbifolding acts on the imaginary simple roots of the unorbifolded GKM superalgebra, Script G1, leaving the real simple roots untouched. We anticipate that these superalgebras will play a role in understanding the `algebra of BPS states' in CHL compactifications.

  3. Protected couplings and BPS dyons in half-maximal supersymmetric string vacua

    Directory of Open Access Journals (Sweden)

    Guillaume Bossard

    2017-02-01

    Full Text Available We analyze four- and six-derivative couplings in the low energy effective action of D=3 string vacua with half-maximal supersymmetry. In analogy with an earlier proposal for the (∇Φ4 coupling, we propose that the ∇2(∇Φ4 coupling is given exactly by a manifestly U-duality invariant genus-two modular integral. In the limit where a circle in the internal torus decompactifies, the ∇2(∇Φ4 coupling reduces to the ∇2F4 and R2F2 couplings in D=4, along with an infinite series of corrections of order e−R, from four-dimensional 1/4-BPS dyons whose worldline winds around the circle. Each of these contributions is weighted by a Fourier coefficient of a meromorphic Siegel modular form, explaining and extending standard results for the BPS index of 1/4-BPS dyons.

  4. Protected couplings and BPS dyons in half-maximal supersymmetric string vacua

    Science.gov (United States)

    Bossard, Guillaume; Cosnier-Horeau, Charles; Pioline, Boris

    2017-02-01

    We analyze four- and six-derivative couplings in the low energy effective action of D = 3 string vacua with half-maximal supersymmetry. In analogy with an earlier proposal for the (∇Φ) 4 coupling, we propose that the ∇2(∇Φ) 4 coupling is given exactly by a manifestly U-duality invariant genus-two modular integral. In the limit where a circle in the internal torus decompactifies, the ∇2(∇Φ) 4 coupling reduces to the ∇2F4 and R2F2 couplings in D = 4, along with an infinite series of corrections of order e-R, from four-dimensional 1/4-BPS dyons whose worldline winds around the circle. Each of these contributions is weighted by a Fourier coefficient of a meromorphic Siegel modular form, explaining and extending standard results for the BPS index of 1/4-BPS dyons.

  5. Magnetic monopoles and dyons revisited: A useful contribution to the study of classical mechanics

    OpenAIRE

    Santos, Renato P. dos

    2015-01-01

    Graduate level physics curricula in many countries around the world, as well as senior-level undergraduate ones in some major institutions, include Classical Mechanics courses, mostly based on Goldstein's textbook masterpiece. During the discussion of central force motion, however, the Kepler problem is virtually the only serious application presented. In this paper, we present another problem that is also soluble, namely the interaction of Schwinger's dual-charged (dyon) particles. While the...

  6. Dyon Condensation and Dual Superconductivity in Abelian Higgs Model of QCD

    Directory of Open Access Journals (Sweden)

    B. S. Rajput

    2010-01-01

    Full Text Available Constructing the effective action for dyonic field in Abelian projection of QCD, it has been demonstrated that any charge (electrical or magnetic of dyon screens its own direct potential to which it minimally couples and antiscreens the dual potential leading to dual superconductivity in accordance with generalized Meissner effect. Taking the Abelian projection of QCD, an Abelian Higgs model, incorporating dual superconductivity and confinement, has been constructed and its representation has been obtained in terms of average of Wilson loop.

  7. Light adjoint quarks in the instanton-dyon liquid model. IV.

    Science.gov (United States)

    Liu, Yizhuang; Shuryak, Edward; Zahed, Ismail

    2016-11-01

    We discuss the instanton-dyon liquid model with Nf Majorana quark flavors in the adjoint representation of color S Uc(2 ) at finite temperature. We briefly recall the index theorem on S1×R3 for twisted adjoint fermions in a Bogomolny-Prasad-Sommerfeld (BPS) dyon background of arbitrary holonomy and use the Atiyah-Drinfeld-Hitchin-Manin (ADHM) construction to derive the adjoint antiperiodic zero modes. We use these results to derive the partition function of an interacting instanton-dyon ensemble with Nf light and antiperiodic adjoint quarks. We develop the model in details by mapping the theory on a three-dimensional quantum effective theory with adjoint quarks with manifest S U (Nf)×Z4 Nf symmetry. Using a mean-field analysis at weak coupling and strong screening, we show that center symmetry requires the spontaneous breaking of chiral symmetry, which is shown to only take place for Nf=1 . For a sufficiently dense liquid, we find that the ground state is center symmetric and breaks spontaneously flavor symmetry through S U (Nf)×Z4 Nf→O (Nf). As the liquid dilutes with increasing temperature, center symmetry and chiral symmetry are restored. We present numerical and analytical estimates for the transition temperatures.

  8. Light Adjoint Quarks in the Instanton-Dyon Liquid Model IV

    CERN Document Server

    Liu, Yizhuang; Zahed, Ismail

    2016-01-01

    We discuss the instanton-dyon liquid model with $N_f$ Majorana quark flavors in the adjoint representation of color $SU_c(2)$ at finite temperature. We briefly recall the index theorem on $S^1\\times R^3$ for twisted adjoint fermions in a BPS dyon background of arbitrary holonomy, and use the ADHM construction to explicit the adjoint anti-periodic zero modes. We use these results to derive the partition function of an interacting instanton-dyon ensemble with $N_f$ light and anti-periodic adjoint quarks. We develop the model in details by mapping the theory on a 3-dimensional quantum effective theory with adjoint quarks with manifest $SU(N_f)\\times Z_{4N_f}$ symmetry. Using a mean-field analysis at weak coupling and strong screening, we show that center symmetry requires the spontaneous breaking of chiral symmetry, which is shown to only take place for $N_f=1$. For a sufficiently dense liquid, we find that the ground state is center symmetric and breaks spontaneously flavor symmetry through $SU(N_f)\\times Z_{4N...

  9. Dyons, Superstrings, and Wormholes: Exact Solutions of the Non-Abelian Dirac-Born-Infeld Action

    Directory of Open Access Journals (Sweden)

    Edward A. Olszewski

    2015-01-01

    Full Text Available We construct dyon solutions on coincident D4-branes, obtained by applying T-duality transformations to type I SO(32 superstring theory in 10 dimensions. These solutions, which are exact, are obtained from an action comprising the non-Abelian Dirac-Born-Infeld action and a Wess-Zumino-like action. When one spatial dimension of the D4-branes is taken to be vanishingly small, the dyons are analogous to the ’t Hooft/Polyakov monopole residing in a 3+1-dimensional spacetime, where the component of the Yang-Mills potential transforming as a Lorentz scalar is reinterpreted as a Higgs boson transforming in the adjoint representation of the gauge group. Applying a T-duality transformation to the vanishingly small spatial dimension, we obtain a collection of D3-branes, not all of which are coincident. Two of the D3-branes, distinct from the others, acquire intrinsic, finite curvature and are connected by a wormhole. The dyons possess electric and magnetic charges whose values on each D3-brane are the negative of one another. The gravitational effects, which arise after the T-duality transformation, occur despite the fact that the action of the system does not explicitly include the gravitational interaction. These solutions provide a simple example of the subtle relationship between the Yang-Mills and gravitational interactions, that is, gauge/gravity duality.

  10. Dyon of a non-Abelian Chern-Simons-Yang-Mills-Higgs system in 3+1 dimensions

    CERN Document Server

    Navarro-Lerida, Francisco

    2013-01-01

    Dyons of an SO(5) Chern-Simons-Yang-Mills-Higgs system in 3+1 dimensions are presented. These solitons carry both magnetic and electric global charges. The SO(3)xSO(2) solutions are constructed numerically. These are Chern-Simons dyons, differing radically from Julia-Zee dyons. The Chern-Simons densities employed are defined in 3+1 dimensions, and they are the first two of the 'new' Chern-Simons densities introduced recently. They are defined in terms of both Yang-Mills fields and a 5-component isomultiplet Higgs. When two or more of these Chern-Simons densities are present in the Lagrangian, solutions with vanishing electric charge but nonvanishing electrostatic potential may exist.

  11. Dyon spectrum in generic N = 4 supersymmetric Z{sub N} orbifolds

    Energy Technology Data Exchange (ETDEWEB)

    David, Justin R.; Jatkar, Dileep P.; Sen, Ashoke [Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad 211019 (India)

    2007-01-15

    We find the exact spectrum of a class of quarter BPS dyons in a generic N = 4 supersymmetric Z{sub N} orbifold of type IIA string theory on K3 x T{sup 2} or T{sup 6}. We also find the asymptotic expansion of the statistical entropy to first non-leading order in inverse power of charges and show that it agrees with the entropy of a black hole carrying same set of charges after taking into account the effect of the four derivative Gauss-Bonnet term in the effective action of the theory.

  12. Dyon condensation: an effective way to construct topological phases with symmetry

    Science.gov (United States)

    Ye, Peng; Wen, Xiao-Gang

    2014-03-01

    In this work, we construct three-dimensional exotic phases of bosons with time-reversal symmetry and boson number conservation U(1) symmetry by means of fermionic projective construction. We first construct an algebraic bosonic insulator which is a symmetric bosonic state with an emergent U(1) gapless gauge field. We then obtain many gapped bosonic states that do not break the time-reversal symmetry and boson number conservation via proper dyon condensations. We identify the constructed states by calculating the allowed electric and magnetic charges of their excitations, as well as the statistics and the symmetric transformation properties of those excitations. This allows us to show that our constructed states can be trivial SPT states (i.e. trivial Mott insulators of bosons with symmetry), non-trivial SPT states (i.e. bosonic topological insulators) and SET states (i.e. fractional bosonic topological insulators). In non-trivial SPT states, the elementary monopole (carrying zero electric charge but unit magnetic charge) and elementary dyon (carrying both unit electric charge and unit magnetic charge) are fermionic and bosonic, respectively. In SET states, intrinsic excitations may carry fractional charge.

  13. Yang-Mills Solutions and Dyons on Cylinders over Coset Spaces with Sasakian Structure

    CERN Document Server

    Tormählen, Maike

    2014-01-01

    We present solutions of the Yang-Mills equation on cylinders $\\mathbb R\\times G/H$ over coset spaces with Sasakian structure and odd dimension $2m+1$. The gauge potential is assumed to be $SU(m)$-equivariant, parametrized by two real, scalar-valued functions. Yang-Mills theory with torsion in this setup reduces to the Newtonian mechanics of a point particle moving in $\\mathbb R^2$ under the influence of an inverted potential. We analyze the critical points of this potential and present an analytic as well as several numerical finite-action solutions. Apart from the Yang-Mills solutions that constitute $SU(m)$-equivariant instanton configurations, we construct periodic sphaleron solutions on $S^1\\times G/H$ and dyon solutions on $i\\mathbb R\\times G/H$.

  14. A remark on the asymptotic form of BPS multi-dyon solutions and their conserved charges

    Science.gov (United States)

    Constantinidis, C. P.; Ferreira, L. A.; Luchini, G.

    2015-12-01

    We evaluate the gauge invariant, dynamically conserved charges, recently obtained from the integral form of the Yang-Mills equations, for the BPS multi-dyon solutions of a Yang-Mills-Higgs theory associated to any compact semi-simple gauge group G. Those charges are shown to correspond to the eigenvalues of the next-to-leading term of the asymptotic form of the Higgs field at spatial infinity, and so coinciding with the usual topological charges of those solutions. Such results show that many of the topological charges considered in the literature are in fact dynamical charges, which conservation follows from the global properties of classical Yang-Mills theories encoded into their integral dynamical equations. The conservation of those charges can not be obtained from the differential form of Yang-Mills equations.

  15. A remark on the asymptotic form of BPS multi-dyon solutions and their conserved charges

    CERN Document Server

    Constantinidis, C P; Luchini, G

    2015-01-01

    We evaluate the gauge invariant, dynamically conserved charges, recently obtained from the integral form of the Yang-Mills equations, for the BPS multi-dyon solutions of a Yang-Mills-Higgs theory associated to any compact semi-simple gauge group G. Those charges are shown to correspond to the eigenvalues of the next-to-leading term of the asymptotic form of the Higgs field at spatial infinity, and so coinciding with the usual topological charges of those solutions. Such results show that many of the topological charges considered in the literature are in fact dynamical charges, which conservation follows from the global properties of classical Yang-Mills theories encoded into their integral dynamical equations. The conservation of those charges can not be obtained from the differential form of Yang-Mills equations.

  16. Existence of Dyons in Minimally Gauged Skyrme Model via Constrained Minimization

    CERN Document Server

    Gao, Zhifeng

    2011-01-01

    We prove the existence of electrically and magnetically charged particlelike static solutions, known as dyons, in the minimally gauged Skyrme model developed by Brihaye, Hartmann, and Tchrakian. The solutions are spherically symmetric, depend on two continuous parameters, and carry unit monopole and magnetic charges but continuous Skyrme charge and non-quantized electric charge induced from the 't Hooft electromagnetism. The problem amounts to obtaining a finite-energy critical point of an indefinite action functional, arising from the presence of electricity and the Minkowski spacetime signature. The difficulty with the absence of the Higgs field is overcome by achieving suitable strong convergence and obtaining uniform decay estimates at singular boundary points so that the negative sector of the action functional becomes tractable.

  17. Magnetic monopoles and dyons revisited: A useful contribution to the study of classical mechanics

    CERN Document Server

    Santos, Renato P dos

    2015-01-01

    Graduate level physics curricula in many countries around the world, as well as senior-level undergraduate ones in some major institutions, include Classical Mechanics courses, mostly based on Goldstein's textbook masterpiece. During the discussion of central force motion, however, the Kepler problem is virtually the only serious application presented. In this paper, we present another problem that is also soluble, namely the interaction of Schwinger's dual-charged (dyon) particles. While the electromagnetic interaction of magnetic monopoles and electric charges was studied in detail some 40 years ago, we consider that a pedagogical discussion of it from an essentially classical mechanics point of view is a useful contribution for students. Following a path that generalizes Kepler's problem and Rutherford scattering, we show that they exhibit remarkable properties such as stable non-planar orbits, as well as rainbow and glory scattering, which are not present in the ordinary scattering of two singly charged p...

  18. Constructing symmetric topological phases of bosons in three dimensions via fermionic projective construction and dyon condensation

    Science.gov (United States)

    Ye, Peng; Wen, Xiao-Gang

    2014-01-01

    Recently, there is a considerable study on gapped symmetric phases of bosons that do not break any symmetry. Even without symmetry breaking, the bosons can still be in many exotic new states of matter, such as symmetry-protected topological (SPT) phases, which are short-range entangled and symmetry-enriched topological (SET) phases, which are long-range entangled. It is well known that noninteracting fermionic topological insulators are SPT states protected by time-reversal symmetry and U(1) fermion number conservation symmetry. In this paper, we construct three-dimensional exotic phases of bosons with time-reversal symmetry and boson number conservation U(1) symmetry by means of fermionic projective construction. We first construct an algebraic bosonic insulator, which is a symmetric bosonic state with an emergent U(1) gapless gauge field. We then obtain many gapped bosonic states that do not break the time-reversal symmetry and boson number conservation via proper dyon condensations. We identify the constructed states by calculating the allowed electric and magnetic charges of their excitations, as well as the statistics and the symmetric transformation properties of those excitations. This allows us to show that our constructed states can be trivial SPT states (i.e., trivial Mott insulators of bosons with symmetry), nontrivial SPT states (i.e., bosonic topological insulators), and SET states (i.e., fractional bosonic topological insulators). In nontrivial SPT states, the elementary monopole (carrying zero electric charge but unit magnetic charge) and elementary dyon (carrying both unit electric charge and unit magnetic charge) are fermionic and bosonic, respectively. In SET states, intrinsic excitations may carry fractional charge.

  19. Optical knots and contact geometry II. From Ranada dyons to transverse and cosmetic knots

    Energy Technology Data Exchange (ETDEWEB)

    Kholodenko, Arkady L., E-mail: string@clemson.edu

    2016-08-15

    Some time ago Ranada (1989) obtained new nontrivial solutions of the Maxwellian gauge fields without sources. These were reinterpreted in Kholodenko (2015) [10] (part I) as particle-like (monopoles, dyons, etc.). They were obtained by the method of Abelian reduction of the non-Abelian Yang–Mills functional. The developed method uses instanton-type calculations normally employed for the non-Abelian gauge fields. By invoking the electric–magnetic duality it then becomes possible to replace all known charges/masses by the particle-like solutions of the source-free Abelian gauge fields. To employ these results in high energy physics, it is essential to extend Ranada’s results by carefully analyzing and classifying all dynamically generated knotted/linked structures in gauge fields, including those discovered by Ranada. This task is completed in this work. The study is facilitated by the recent progress made in solving the Moffatt conjecture. Its essence is stated as follows: in steady incompressible Euler-type fluids the streamlines could have knots/links of all types. By employing the correspondence between the ideal hydrodynamics and electrodynamics discussed in part I and by superimposing it with the already mentioned method of Abelian reduction, it is demonstrated that in the absence of boundaries only the iterated torus knots and links could be dynamically generated. Obtained results allow to develop further particle-knot/link correspondence studied in Kholodenko (2015) [13].

  20. Dilatonic dyon-like black hole solutions in the model with two Abelian gauge fields

    Energy Technology Data Exchange (ETDEWEB)

    Abishev, M.E. [Institute of Experimental and Theoretical Physics, Al-Farabi Kazakh National University, Almaty (Kazakhstan); Institute of Gravitation and Cosmology, RUDN University, Moscow (Russian Federation); Boshkayev, K.A. [Institute of Experimental and Theoretical Physics, Al-Farabi Kazakh National University, Almaty (Kazakhstan); Ivashchuk, V.D. [Center for Gravitation and Fundamental Metrology, VNIIMS, Moscow (Russian Federation); Institute of Gravitation and Cosmology, RUDN University, Moscow (Russian Federation)

    2017-03-15

    Dilatonic black hole dyon-like solutions in the gravitational 4d model with a scalar field, two 2-forms, two dilatonic coupling constants λ{sub i} ≠ 0, i = 1,2, obeying λ{sub 1} ≠ -λ{sub 2} and the sign parameter ε = ±1 for scalar field kinetic term are considered. Here ε = -1 corresponds to a ghost scalar field. These solutions are defined up to solutions of two master equations for two moduli functions, when λ{sup 2}{sub i} ≠ 1/2 for ε = -1. Some physical parameters of the solutions are obtained: gravitational mass, scalar charge, Hawking temperature, black hole area entropy and parametrized post-Newtonian (PPN) parameters β and γ. The PPN parameters do not depend on the couplings λ{sub i} and ε. A set of bounds on the gravitational mass and scalar charge are found by using a certain conjecture on the parameters of solutions, when 1 + 2λ{sub i}{sup 2} ε > 0, i = 1,2. (orig.)

  1. Plasma burn-through simulations using the DYON code and predictions for ITER

    CERN Document Server

    Kim, Hyun-Tae; de Vries, P C; Contributors, JET-EFDA

    2014-01-01

    This paper will discuss simulations of the full ionization process (i.e. plasma burn-through), fundamental to creating high temperature plasma. By means of an applied electric field, the gas is partially ionized by the electron avalanche process. In order for the electron temperature to increase, the remaining neutrals need to be fully ionized in the plasma burn-through phase, as radiation is the main contribution to the electron power loss. The radiated power loss can be significantly affected by impurities resulting from interaction with the plasma facing components. The DYON code is a plasma burn-through simulator developed at Joint European Torus (JET) [1] [2]. The dynamic evolution of the plasma temperature and plasma densities including impurity content is calculated in a self-consistent way, using plasma wall interaction models. The recent installation of a beryllium wall at JET enabled validation of the plasma burn-through model in the presence of new, metallic plasma facing components. The simulation...

  2. Optical knots and contact geometry II. From Ranada dyons to transverse and cosmetic knots

    Science.gov (United States)

    Kholodenko, Arkady L.

    2016-08-01

    Some time ago Ranada (1989) obtained new nontrivial solutions of the Maxwellian gauge fields without sources. These were reinterpreted in Kholodenko (2015) [10] (part I) as particle-like (monopoles, dyons, etc.). They were obtained by the method of Abelian reduction of the non-Abelian Yang-Mills functional. The developed method uses instanton-type calculations normally employed for the non-Abelian gauge fields. By invoking the electric-magnetic duality it then becomes possible to replace all known charges/masses by the particle-like solutions of the source-free Abelian gauge fields. To employ these results in high energy physics, it is essential to extend Ranada's results by carefully analyzing and classifying all dynamically generated knotted/linked structures in gauge fields, including those discovered by Ranada. This task is completed in this work. The study is facilitated by the recent progress made in solving the Moffatt conjecture. Its essence is stated as follows: in steady incompressible Euler-type fluids the streamlines could have knots/links of all types. By employing the correspondence between the ideal hydrodynamics and electrodynamics discussed in part I and by superimposing it with the already mentioned method of Abelian reduction, it is demonstrated that in the absence of boundaries only the iterated torus knots and links could be dynamically generated. Obtained results allow to develop further particle-knot/link correspondence studied in Kholodenko (2015) [13].

  3. Magnetic monopoles and dyons revisited: a useful contribution to the study of classical mechanics

    Science.gov (United States)

    dos Santos, Renato P.

    2015-05-01

    Graduate-level physics curricula in many countries around the world, as well as senior-level undergraduate ones in some major institutions, include classical mechanics courses, mostly based on Goldstein’s textbook masterpiece. During the discussion of central force motion, however, the Kepler problem is virtually the only serious application presented. In this paper, we present another problem that is also soluble, namely the interaction of Schwinger’s dual-charged (dyon) particles. While the electromagnetic interaction of magnetic monopoles and electric charges was studied in detail some 40 years ago, we consider that a pedagogical discussion of it from an essentially classical mechanics point of view is a useful contribution for students. Following a path that generalizes Kepler’s problem and Rutherford scattering, we show that they exhibit remarkable properties such as stable non-planar orbits, as well as rainbow and glory scattering, which are not present in the ordinary scattering of two singly charged particles. Moreover, it can be extended further to the relativistic case and to a semi-classical quantization, which can also be included in the class discussion.

  4. On 't Hooft-Polyakov Monopole, Julia-Zee Dyon, and Higgs Field, throughout the Generalized Bogomoln'yi Equations

    CERN Document Server

    Glinka, Lukasz Andrzej

    2015-01-01

    In this paper, making use of the 't Hooft-Polyakov-Julia-Zee ansatz for the SU(2) Yang-Mills-Higgs gauge field theory, we present the straightforward generalization of the Bogomoln'yi equations and its several consequences. Particularly, this is shown that this idea is able to generate new types of non-abelian both dyons and magnetic monopoles and, moreover, that within the new model the scalar field can be described through the Coulomb potential, whereas, up to a constant, the non-abelian gauge field becomes the Wu-Yang monopole.

  5. Existence of topological hairy dyons and dyonic black holes in anti-de Sitter SU(N) EYM theory

    CERN Document Server

    Baxter, J Erik

    2015-01-01

    We investigate dyonic black hole and dyon solutions of four-dimensional $SU(N)$ EYM theory with a negative cosmological constant. We derive a set of field equations in this case, and prove the existence of non-trivial solutions to these equations for any integer $N$, with $2N-2$ gauge degrees of freedom. We do this by showing that solutions exist locally at infinity, and at the event horizon for black holes and the origin for solitons. We then prove that we can patch these solutions together regularly into global solutions that can be integrated arbitrarily far into the asymptotic regime. Our main result is to show that dyonic solutions exist in open sets in the parameter space, and hence that we can find non-trivial dyonic solutions in a number of regimes whose magnetic gauge fields have no zeroes, which is likely important to the stability of the solutions.

  6. Existence of topological hairy dyons and dyonic black holes in anti-de Sitter su(N) Einstein-Yang-Mills theory

    Energy Technology Data Exchange (ETDEWEB)

    Baxter, J. Erik, E-mail: e.baxter@shu.ac.uk [Department of Engineering and Mathematics, Sheffield Hallam University, Sheffield S11WB (United Kingdom)

    2016-02-15

    We investigate dyonic black hole and dyon solutions of four-dimensional su(N) Einstein-Yang-Mills theory with a negative cosmological constant. We derive a set of field equations in this case, and prove the existence of non-trivial solutions to these equations for any integer N, with 2N − 2 gauge degrees of freedom. We do this by showing that solutions exist locally at infinity, and at the event horizon for black holes and the origin for solitons. We then prove that we can patch these solutions together regularly into global solutions that can be integrated arbitrarily far into the asymptotic regime. Our main result is to show that dyonic solutions exist in open sets in the parameter space, and hence that we can find non-trivial dyonic solutions in a number of regimes whose magnetic gauge fields have no zeros, which is likely important to the stability of the solutions.

  7. BPS dyons and Hesse flow

    Science.gov (United States)

    Van den Bleeken, Dieter

    2012-02-01

    We revisit BPS solutions to classical N = 2 low energy effective gauge theories. It is shown that the BPS equations can be solved in full generality by the introduction of a Hesse potential, a symplectic analog of the holomorphic prepotential. We explain how for non-spherically symmetric, non-mutually local solutions, the notion of attractor flow generalizes to gradient flow with respect to the Hesse potential. Furthermore we show that in general there is a non-trivial magnetic complement to this flow equation that is sourced by the momentum current in the solution.

  8. Chasing the cuprates with dilatonic dyons

    CERN Document Server

    Amoretti, Andrea; Magnoli, Nicodemo; Musso, Daniele

    2016-01-01

    Magnetic field and momentum dissipation are key ingredients in describing condensed matter systems. We include them in gauge/gravity and systematically explore the bottom-up panorama of holographic IR effective field theories based on bulk Einstein-Maxwell Lagrangians plus scalars. Notably, this general class of theories - at the core of a long-standing AdS/CMT program - appears not to be capable of accommodating the fundamental phenomenology of the cuprate transport. We analyze in particular the temperature scaling of the resistivity and of the Hall angle. We keep a problematic attitude and illustrate weak and strong points of the approach.

  9. Chasing the cuprates with dilatonic dyons

    Energy Technology Data Exchange (ETDEWEB)

    Amoretti, Andrea [Department of Applied Mathematics and Theoretical Physics, University of Cambridge,Cambridge, CB3 OWA (United Kingdom); Baggioli, Matteo [Institut de Física d’Altes Energies (IFAE), Universitat Autònoma de Barcelona,The Barcelona Institute of Science and Technology,Campus UAB, 08193 Bellaterra (Barcelona) (Spain); Magnoli, Nicodemo [Dipartimento di Fisica, Università di Genova, and I.N.F.N. - Sezione di Genova,via Dodecaneso 33, I-16146, Genova (Italy); Musso, Daniele [Abdus Salam International Centre for Theoretical Physics (ICTP),Strada Costiera 11, I-34151 Trieste (Italy)

    2016-06-20

    Magnetic field and momentum dissipation are key ingredients in describing condensed matter systems. We include them in gauge/gravity and systematically explore the bottom-up panorama of holographic IR effective field theories based on bulk Einstein-Maxwell Lagrangians plus scalars. The class of solutions here examined appears insufficient to capture the phenomenology of charge transport in the cuprates. We analyze in particular the temperature scaling of the resistivity and of the Hall angle. Keeping an open attitude, we illustrate weak and strong points of the approach.

  10. BKM Lie superalgebras from dyon spectra in Z_N CHL orbifolds for composite N

    CERN Document Server

    Govindarajan, Suresh

    2009-01-01

    We show that the generating function of electrically charged 1/2-BPS states in N=4 supersymmetric CHL Z_N orbifolds of the heterotic string on T^6 are given by multiplicative eta-products. The eta-products are determined by the cycle shape of the corresponding symplectic involution in the dual type II picture. This enables us to complete the construction of the genus-two Siegel modular forms due to David, Jatkar and Sen [arXiv:hep-th/0609109] for Z_N orbifolds when N is non-prime. We study the Z_4 CHL orbifold in detail and show that the associated Siegel modular forms, \\Phi_3(Z) and \\widetilde{\\Phi}_3(Z), are given by the square of the product of three even genus-two theta constants. Extending work by us[arXiv:0807.4451] as well as Cheng and Dabholkar[arXiv:0809.4258], we show that their `square roots' appear as the denominator formulae of two distinct Borcherds-Kac-Moody (BKM) Lie superalgebras. The BKM Lie superalgebra associated with the generating function of 1/4-BPS states, i.e., \\widetilde{\\Phi}_3(Z) h...

  11. Optical knots and contact geometry I. From Arnol'd inequality to Ranada's dyons

    Science.gov (United States)

    Kholodenko, Arkady L.

    2016-06-01

    Recently there had been a great deal of activity associated with various schemes of designing both analytic and experimental methods describing knotted structures in electrodynamics and in hydrodynamics. The majority of works in electrodynamics were inspired by the influential paper by Ranada (Lett Math Phys 18:97-106, 1989) and its subsequent refinements. In this work and in its companion we analyze Ranada's results using methods of contact geometry and topology. Not only our analysis allows us to reproduce his major results but in addition, it provides opportunities for considerably extending the catalog of the known/obtained knot types. In addition, it allows to reinterpret both the electric and magnetic charges purely geometrically thus opening the possibility of treatment of masses and charges in Yang-Mills and gravitational fields purely geometrically.

  12. Plasma burn-through simulations using the DYON code and predictions for ITER

    NARCIS (Netherlands)

    Kim, H. T.; Sips, A.C.C.; de Vries, P. C.; JET-EFDA Contributors,

    2013-01-01

    This paper will discuss simulations of the full ionization process (i.e. plasma burn-through), fundamental to creating high temperature plasma. By means of an applied electric field, the gas is partially ionized by the electron avalanche process. In order for the electron temperature to increase, th

  13. Four-derivative couplings and BPS dyons in heterotic CHL orbifolds arXiv

    CERN Document Server

    Bossard, Guillaume; Pioline, Boris

    Three-dimensional string models with half-maximal supersymmetry are believed to be invariant under a large U-duality group which unifies the S and T dualities in four dimensions. We propose an exact, U-duality invariant formula for four-derivative scalar couplings of the form $F(\\Phi) (\

  14. Counting spinning dyons in maximal supergravity: the Hodge-elliptic genus for tori

    Science.gov (United States)

    Benjamin, Nathan; Kachru, Shamit; Tripathy, Arnav

    2017-08-01

    We consider M-theory compactified on T^4 × T^2 and describe the count of spinning 1/8-BPS states. This builds on the work of Maldacena-Moore-Strominger in the physics literature. It simultaneously provides a refinement of the recent mathematical work of Bryan-Oberdieck-Pandharipande-Yin and Oberdieck-Shen, which studied (non-motivic) reduced Donaldson-Thomas invariants of abelian surfaces and threefolds. As in previous work on K3 × T^2 compactification, we track angular momenta under both the SU(2)_L and SU(2)_R factors in the 5d little group, providing predictions for the relevant motivic curve counts.

  15. Analytic solutions in the dyon black hole with a cosmic string: Scalar fields, Hawking radiation and energy flux

    Energy Technology Data Exchange (ETDEWEB)

    Vieira, H.S., E-mail: horacio.santana.vieira@hotmail.com [Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, CEP 58051-970, João Pessoa, PB (Brazil); Centro de Ciências, Tecnologia e Saúde, Universidade Estadual da Paraíba, CEP 58233-000, Araruna, PB (Brazil); Bezerra, V.B., E-mail: valdir@fisica.ufpb.br [Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, CEP 58051-970, João Pessoa, PB (Brazil); Silva, G.V., E-mail: gislainevs@hotmail.com [Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, CEP 58051-970, João Pessoa, PB (Brazil)

    2015-11-15

    Charged massive scalar fields are considered in the gravitational and electromagnetic field produced by a dyonic black hole with a cosmic string along its axis of symmetry. Exact solutions of both angular and radial parts of the covariant Klein–Gordon equation in this background are obtained, and are given in terms of the confluent Heun functions. The role of the presence of the cosmic string in these solutions is showed up. From the radial solution, we obtain the exact wave solutions near the exterior horizon of the black hole, and discuss the Hawking radiation spectrum and the energy flux. -- Highlights: •A cosmic string is introduced along the axis of symmetry of the dyonic black hole. •The covariant Klein–Gordon equation for a charged massive scalar field in this background is analyzed. •Both angular and radial parts are transformed to a confluent Heun equation. •The resulting Hawking radiation spectrum and the energy flux are obtained.

  16. Sedenion unified theory of gravi-electromagnetism

    Science.gov (United States)

    Chanyal, B. C.

    2014-11-01

    In this paper, we represent 16-component sedenions, the generalization of octonions, which is noncommutative space-time algebra. The sedenions is neither a composition algebra nor a division algebra because it has zero divisors. Here we have formulated the sedenionic unified potential equations, unified fields equations and unified current equations of dyons and gravito-dyons. We have developed the sedenionic unified theory of dyons and gravito-dyons in terms of two eight-potentials leading to the structural symmetry between generalized electromagnetic fields of dyons and generalized gravito-Heavisidian fields of gravito-dyons. Thus we have obtained the sedenionic form of generalized Dirac-Maxwell's equations, unified work-energy theorem (Poynting theorem), generalized unified gravi-electromagnetic force and other quantum equations of dyons and gravito-dyons in simple, compact and consistent way incorporating the non-associativity and non-commutativity of sedenion variables.

  17. Debye screening and a Thomas - Fermi model of a dyonic atom in a two potential theory of electromagnetism

    Energy Technology Data Exchange (ETDEWEB)

    Wolf, C. [North Adams State College, MA (United States)

    1993-02-01

    We study the screening of a central Abelian dyon by a surrounding dyon cloud in a two potential theory of electromagnetism. A generalized formula for the Debye screening length is obtained and a Thomas - Fermi Model for a charged cloud surrounding a central Dyonic Core is studied. 20 refs.

  18. Dual number coefficient octonion algebra, field equations and conservation laws

    Science.gov (United States)

    Chanyal, B. C.; Chanyal, S. K.

    2017-09-01

    Starting with octonion algebra, we develop the dual number coefficient octonion (DNCO) algebra having sixteen components. DNCO forms of generalized potential, field and current equations are discussed in consistent manner. We have made an attempt to write the DNCO form of generalized Dirac-Maxwell's equations in presence of electric and magnetic charges (dyons). Accordingly, we demonstrate the work-energy theorem of classical mechanics reproducing the continuity equation for dyons in terms of DNCO algebra. Further, we discuss the DNCO form of linear momentum conservation law for dyons.

  19. Recent progress in understanding gauge topology, confinement and chiral symmetry breaking

    Science.gov (United States)

    Larsen, Rasmus; Shuryak, Edward

    2016-12-01

    A model of interacting instanton-dyons as the dominant degrees of freedom was used to discuss confinement and chiral symmetry breaking in SU(2). The case without fermions and with two flavors of fermions was discussed. Numerical results show that within this model, both with and without fermions, confinement is induced by the repulsion between dyons of same type, as the density of dyons increase at lower temperature. With fermions, the result of confinement at lower temperature, combined with the increased density made the effective distance between fermionic zero-modes smaller, thus inducing a non-zero chiral condensate, obtained by fitting to a eigenvalue density formula from random matrix theory.

  20. Dual number coefficient octonion algebra, field equations and conservation laws

    Science.gov (United States)

    Chanyal, B. C.; Chanyal, S. K.

    2016-08-01

    Starting with octonion algebra, we develop the dual number coefficient octonion (DNCO) algebra having sixteen components. DNCO forms of generalized potential, field and current equations are discussed in consistent manner. We have made an attempt to write the DNCO form of generalized Dirac-Maxwell's equations in presence of electric and magnetic charges (dyons). Accordingly, we demonstrate the work-energy theorem of classical mechanics reproducing the continuity equation for dyons in terms of DNCO algebra. Further, we discuss the DNCO form of linear momentum conservation law for dyons.

  1. Quantum weights of monopoles and calorons with non-trivial holonomy

    CERN Document Server

    Diakonov, D

    2004-01-01

    The functional determinant is computed exactly for quantum oscillations about periodic instantons with non-trivial values of the Polyakov line at spatial infinity (or holonomy). Such instantons can be viewed as composed of the Bogomolnyi--Prasad--Sommerfeld (BPS) monopoles or dyons. We find the weight or the probability with which dyons occur in the pure Yang--Mills partition function. It turns out that dyons experience quantum interactions having the familiar "linear plus Coulomb" form but with the "string tension'' depending on the holonomy. We present an argument that at temperatures below the critical one computed from Lambda_QCD, trivial holonomy becomes unstable, with instantons ``ionizing'' into separate dyons. It may serve as a microscopic mechanism of the confinement-deconfinement phase transition.

  2. Dense QCD: a Holographic Dyonic Salt

    CERN Document Server

    Rho, Mannque; Zahed, Ismail

    2009-01-01

    Dense QCD at zero temperature with a large number of colors is a crystal. We show that in the holographic dual description, the crystal is made out of pairs of dyons with $e=g=\\pm 1$ charges in a salt-like arrangement. We argue that with increasing density the dyon masses and topological charges equalize, turning the salt-like configuration to a bcc of half-instantons. The latter is dual to a cubic crystal of half-skyrmions. We estimate the transition from an fcc crystal of instantons to a bcc crystal of dyons to about 3 times nuclear matter density with a dyon binding energy of about 180 MeV.

  3. Effects of virtual monopoles;

    CERN Document Server

    De Rújula, Alvaro

    1995-01-01

    Electromagnetism would be a ``more unified'' theory if there were elementary magnetic monopoles and/or particles with both electric and magnetic charges (dyons). I discuss the simplest possibilities for the addition of these entities onto the Standard Model, and their empirical consequences. Lower limits on the masses of monopoles and dyons stemming from their quantum effects on current observables turn out to be much stronger than the existing limits from direct searches. Anomalies in the three-photon decay of the Z constitute good specific signatures for monopoles or dyons. T-odd observables in the e^+e^-\\!\\rightarrow\\! W^+W^- process are signatures for dyons, but they are severely constrained by existing data. The subjects of monopolium, monopole cosmology and non-elementary monopoles are also discussed.

  4. Octonionic matrix representation and electromagnetism

    Energy Technology Data Exchange (ETDEWEB)

    Chanyal, B. C. [Kumaun University, S. S. J. Campus, Almora (India)

    2014-12-15

    Keeping in mind the important role of octonion algebra, we have obtained the electromagnetic field equations of dyons with an octonionic 8 x 8 matrix representation. In this paper, we consider the eight - dimensional octonionic space as a combination of two (external and internal) four-dimensional spaces for the existence of magnetic monopoles (dyons) in a higher-dimensional formalism. As such, we describe the octonion wave equations in terms of eight components from the 8 x 8 matrix representation. The octonion forms of the generalized potential, fields and current source of dyons in terms of 8 x 8 matrix are discussed in a consistent manner. Thus, we have obtained the generalized Dirac-Maxwell equations of dyons from an 8x8 matrix representation of the octonion wave equations in a compact and consistent manner. The generalized Dirac-Maxwell equations are fully symmetric Maxwell equations and allow for the possibility of magnetic charges and currents, analogous to electric charges and currents. Accordingly, we have obtained the octonionic Dirac wave equations in an external field from the matrix representation of the octonion-valued potentials of dyons.

  5. Metric of the SU(N) caloron moduli space and its relation to instantons

    CERN Document Server

    Diakonov, D; Diakonov, Dmitri; Gromov, Nikolay

    2005-01-01

    Calorons of the SU(N) gauge group with non-trivial holonomy, i.e. periodic instantons with arbitrary eigenvalues of the Polyakov line at spatial infinity, can be viewed as composed of N Bogomolnyi--Prasad--Sommerfeld (BPS) monopoles or dyons. We find the metric of the moduli space of the SU(N) calorons in terms of the constituent monopole positions and their U(1) phases. In the small temperature limit calorons reduce locally to the standard instantons with trivial holonomy, whose moduli space is usually written in terms of the instanton center, size and orientation in the color space. We show that these collective coordinates can be explicitly written through dyons positions and phases. We also check that the standard instanton measure coincides exactly with that of N dyons.

  6. P-brane black holes for general intersections

    CERN Document Server

    Ivashchuk, V D

    1999-01-01

    Black hole generalized p-brane solutions for a wide class of intersectionrules are presented. The solutions are defined on a manifold that contains aproduct of n - 1 Ricci-flat ``internal'' spaces. They are defined up to modulifunctions H_s = H_s(R) obeying a non-linear differential equations (equivalentto Toda-type equations) with certain boundary conditions imposed. Usingconjecture on polynomial structure of H_s for intersections related to Liealgebras, new A_2-dyon solutions are obtained. Two examples of these A_2-dyonsolutions, i.e. dyon in D = 11 supergravity with M2 and M5 branes intersectingat a point and dyon in Kaluza-Klein theory, are considered.

  7. Gauge topology and confinement: an update

    CERN Document Server

    Shuryak, Edward

    2015-01-01

    In the instanton ensemble the fermionic zero modes collectivize and break chiral symmetry. Recent studies of resulting zero mode zone confirm its very small width and overall importance for lattice simulations. Confinement however has been related with completely different topological objects, the magnetic monopoles. Instanton constituents -- instanton dyons, discovered at nonzero holonomy by Pierre van Baal and others -- are able to explain both confinement and chiral symmetry breaking. The talk summarizes recent works deriving the instanton-dyon mutual interactions, and statistical studies of their ensemble. At high density the screening is robust enough to do it analytically, in the mean-field-type approach: we call this limit Dense Dyonic Plasma (DDP). Above $T_c$ the classical interaction between the dyons induce strong correlations and should be studied by direct numerical simulations. Those works are now in progress.

  8. A new approach on electromagnetism with dual number coefficient octonion algebra

    Science.gov (United States)

    Chanyal, Bhupesh Chandra; Chanyal, Sunil Kumar; Bektaş, Özcan; Yüce, Salim

    2016-08-01

    Dual number coefficient octonion (DNCO) is one of the kind of octonion, it has 16 components with an additional dual unit ɛ. Starting with DNCO algebra, we develop the generalized electromagnetic field equations of dyons regarding the DNCOS spaces, which has two octonionic space-times namely the octonionic internal space-time and the octonionic external space-time. Besides, the generalized four-potential components of dyons have been expressed with respect to the dual octonion form. Furthermore, we obtain the symmetrical form of Dirac-Maxwell equations, and the generalized potential wave equations for dyons in terms of the dual octonion. Finally, we conclude that dual octonion formulation is compact and simpler like octonion formulation.

  9. Perturbative tests of non-perturbative counting

    Science.gov (United States)

    Dabholkar, Atish; Gomes, João

    2010-03-01

    We observe that a class of quarter-BPS dyons in mathcal{N} = 4 theories with charge vector ( Q, P) and with nontrivial values of the arithmetic duality invariant I := gcd( Q∧ P) are nonperturbative in one frame but perturbative in another frame. This observation suggests a test of the recently computed nonperturbative partition functions for dyons with nontrivial values of the arithmetic invariant. For all values of I, we show that the nonperturbative counting yields vanishing indexed degeneracy for this class of states everywhere in the moduli space in precise agreement with the perturbative result.

  10. Electrically charged one-and-a-half monopole solution

    Energy Technology Data Exchange (ETDEWEB)

    Teh, Rosy; Ng, Ban-Loong; Wong, Khai-Ming [Universiti Sains Malaysia, School of Physics, USM Penang (Malaysia)

    2014-05-15

    Recently, we have discussed the coexistence of a finite energy one-half monopole and a 't Hooft-Polyakov monopole of opposite magnetic charges. In this paper, we would like to introduce electric charge into this new monopoles configuration, thus creating a one-and-a-half dyon. This new dyon possesses finite energy, magnetic dipole moment, and angular momentum and is able to precess in the presence of an external magnetic field. Similar to the other dyon solutions, when the Higgs self-coupling constant, λ, is nonvanishing, this new dyon solution possesses critical electric charge, total energy, magnetic dipolemoment, and dipole separation as the electric charge parameter, η, approaches 1. The electric charge and total energy increase with η to maximum critical values as η → 1 for all nonvanishing λ. However, the magnetic dipole moment decreases with η when λ ≥ 0.1 and the dipole separation decreases with η when λ ≥ 1 to minimum critical values as η → 1. (orig.)

  11. Recent progress in understanding deconfinement and chiral restoration phase transitions

    CERN Document Server

    Shuryak, Edward

    2016-01-01

    Paradigme shift in gauge topology, from instantons to their constituents -- instanton-dyons -- has recently lead to very significant advances. Like instantons, they have fermionic zero modes, and their collectivization at sufficiently high density explains the chiral symmetry breaking. Unlike instantons, these objects have electric and magnetic charges. Their back reaction on the mean value of the Polyakov line (holonomy) allows to explain the deconfinement transition. The talk summarizes recent works on the dyon ensemble, done in the mean field approximation (MFA), and also by direct numerical statistical simulation. Introduction of non-trivial quark periodicity conditions leads to drastic changes in both deconfinement and chiral transitions. In particulaly, in the so called Z(N_c)-QCD model the former gets much stronger, while the latter does not seem to occur at all.

  12. Classical Electromagnetic Field Theory in the Presence of Magnetic Sources

    Institute of Scientific and Technical Information of China (English)

    LI Kang(李康); CHEN Wen-Jun(陈文俊); NAON Carlos M.

    2003-01-01

    Using two new well-defined four-dimensional potential vectors, we formulate the classical Maxwell field theory in a form which has manifest Lorentz covariance and SO(2) duality symmetry in the presence of magnetic sources.We set up a consistent Lagrangian for the theory. Then from the action principle we obtain both Maxwell's equation and the equation of motion of a dyon moving in the electromagnetic field.

  13. Application of the confluent Heun functions to study the physics of black holes: resonant frequencies and scattering of scalar waves

    CERN Document Server

    Vieira, H S

    2016-01-01

    We study the scattering and the resonant frequencies (quasispectrum) of charged massive scalar waves by Kerr-Newman-Kasuya spacetime (dyon black hole). The equations of motion are written into a Heun form, and its analytical solutions are obtained. We obtain the resonant frequencies expression and the general exact regular partial wave solution. The special cases of the Kerr and Schwarzschild black holes are analyzed and the solutions are shown.

  14. Ehlers-harrison-type transformations in dilaton-axion gravity

    CERN Document Server

    Galtsov, D V

    1994-01-01

    The ten--parametric internal symmetry group is found in the D=4 Einstein--Maxwell--Dilaton--Axion theory restricted to space--times admitting a Killing vector field. The group includes dilaton--axion SL(2,R) duality and Harrison--type transformations which are similar to some target--space duality boosts, but act on a different set of variables. New symmetry is used to derive a seven--parametric family of rotating dilaton--axion Taub--NUT dyons.

  15. String networks as tropical curves

    CERN Document Server

    Ray, Koushik

    2008-01-01

    A prescription for obtaining supergravity solutions for planar (p,q)-string networks is presented, based on earlier results. It shows that networks may be looked upon as tropical curves emerging as the spine of the amoeba of a holomorphic curve in M-theory. The Kaehler potential of supergravity is identified with the corresponding Ronkin function. Implications of this identification in counting dyons is discussed.

  16. Monopole-Catalysed Baryon Decay A Boundary Conformal Field Theory Approach

    CERN Document Server

    Affleck, Ian K; Affleck, Ian; Sagi, Jacob

    1994-01-01

    Monopole-mediated baryon number violation, the Callan-Rubakov effect, is reexamined using boundary conformal field theory techniques. It is shown that the low-energy behaviour is described simply by free fermions with a conformally invariant boundary condition at the dyon location. When the number of fermion flavours is greater than two, this boundary condition is of a non-trivial type which has not been elucidated previously.

  17. Two applications of axion electrodynamics

    Science.gov (United States)

    Wilczek, Frank

    1987-01-01

    The equations of axion electrodynamics are studied. Variations in the axion field can give rise to peculiar distributions of charge and current. These effects provide a simple understanding of the fractional electric charge on dyons and of some recently discovered oddities in the electrodynamics of antiphase boundaries in PbTe. Some speculations regarding the possible occurrence of related phenomena in other solids are presented.

  18. Motion of a Particle with Isospin in the Presence of a Monopole

    CERN Document Server

    Fernandes, R M; Fernandes, Rafael M.; Letelier, Patricio S.

    2005-01-01

    From a consistent expression for the quadriforce describing the interaction between a coloured particle and gauge fields, we investigate the relativistic motion of a particle with isospin interacting with a BPS monopole and with a Julia-Zee dyon. The analysis of such systems reveals the existence of unidimensional unbounded motion and asymptotic trajectories restricted to conical surfaces, which resembles the equivalent case of Electromagnetism.

  19. Classical electromagnetic field theory in the presence of magnetic sources

    CERN Document Server

    Chen, W J; Naón, C M; Chen, Wen-Jun; Li, Kang

    2001-01-01

    Using two new well defined 4-dimensional potential vectors, we formulate the classical Maxwell's field theory in a form which has manifest Lorentz covariance and SO(2) duality symmetry in the presence of magnetic sources. We set up a consistent Lagrangian for the theory. Then from the action principle we get both Maxwell's equation and the equation of motion of a dyon moving in the electro-magnetic field.

  20. Dual Superconductivity in Abelian Higgs Model of QCD

    Science.gov (United States)

    Rajput, B. S.

    2017-04-01

    The study of generalized field associated with Abelian dyons has been undertaken and it has been demonstrated that topologically, a non-Abelian gauge theory is equivalent to a set of Abelian gauge theories supplemented by dyons which undergo condensation leading to confinement and consequently to superconducting model of QCD vacuum, where the Higgs field plays the role of a regulator only. Constructing the effective action for dyonic field in Abelian projection of QCD, it has been demonstrated that any charge (electrical or magnetic) of dyon screens its own direct potential to which it minimally couples and anti-screens the dual potential leading to dual superconductivity in accordance with generalized Meissner effect. In this Abelian projection of QCD an Abelian Higgs model (AHM) has been successfully constructed and it has been shown to incorporate dual superconductivity and confinement as the consequence of dyonic condensation. It has been demonstrated that in AHM t' Hooft loop creates the string (AHM-string) around which the monopole current under London limit leads to vanishing coherence length in the chromo-magnetic superconductor. It has also been shown that in London limit the squared density of monopole current around AHM-string has a maximum at the distance of the order of penetration length.

  1. Electrically charged finite energy solutions of an SO(5) and an SU(3) Higgs-Chern-Simons-Yang-Mills-Higgs system in 3+1 dimensions

    Science.gov (United States)

    Navarro-Lérida, Francisco; Tchrakian, D. H.

    2015-05-01

    We study spherically symmetric finite energy solutions of two Higgs-Chern-Simons-Yang-Mills-Higgs (HCS-YMH) models in 3+1 dimensions, one with gauge group SO(5) and the other with SU(3). The Chern-Simons (CS) densities are defined in terms of both the Yang-Mills (YM) and Higgs fields and the choice of the two gauge groups is made so that they do not vanish. The solutions of the SO(5) model carry only electric charge and zero magnetic charge, while the solutions of the SU(3) model are dyons carrying both electric and magnetic charges like the Julia-Zee (JZ) dyon. Unlike the latter, however, the electric charge in both models receives an important contribution from the CS dynamics. We pay special attention to the relation between the energies and charges of these solutions. In contrast with the electrically charged JZ dyon of the Yang-Mills-Higgs (YMH) system, whose mass is larger than that of the electrically neutral (magnetic monopole) solutions, the masses of the electrically charged solutions of our HCS-YMH models can be smaller than their electrically neutral counterparts in some parts of the parameter space. To establish this is the main task of this work, which is performed by constructing the HCS-YMH solutions numerically. In the case of the SU(3) HCS-YMH, we have considered the question of angular momentum and it turns out that it vanishes.

  2. Electrically charged finite energy solutions of an $SO(5)$ and an $SU(3)$ Higgs-Chern-Simons--Yang-Mills-Higgs systems in $3+1$ dimensions

    CERN Document Server

    Navarro-Lerida, Francisco

    2014-01-01

    We study spherically symmetric finite energy solutions of two Higgs-Chern-Simons--Yang-Mills-Higgs (HCS-YMH) models in $3+1$ dimensions, one with gauge group $SO(5)$ and the other with $SU(3)$. The Chern-Simons (CS) densities are defined in terms of both the Yang-Mills (YM) and Higgs fields and the choice of the two gauge groups is made so they do not vanish. The solutions of the $SO(5)$ model carry only electric charge and zero magnetic charge, while the solutions of the $SU(3)$ model are dyons carrying both electric and magnetic charges like the Julia-Zee (JZ) dyon. Unlike the latter however, the electric charge in both models receives an important contribution from the CS dynamics. We pay special attention to the relation between the energies and charges of these solutions. In contrast with the electrically charged JZ dyon of the Yang-Mills-Higgs (YMH) system, whose mass is larger than that of the electrically neutral (magnetic monopole) solutions, the masses of the electrically charged solutions of our HC...

  3. Einstein Gravity-Supergravity Correspondence

    CERN Document Server

    Chen, C M; Sharakin, S A; Chen, Chiang-Mei; Gal'tsov, Dmitri V.; Sharakin, Sergei A.

    1999-01-01

    A correspondence between the three-block truncated 11D supergravity and the 8D pure Einstein gravity with two commuting Killing symmetries is discussed. The Kaluza-Klein two-forms of the 6D theory obtained after dimensional reduction along the Killing orbits generate the four-form field of supergravity via an inverse dualization. Thus any solution to the vacuum Einstein equations in eight dimensions depending on six coordinates have 11D-supergravity counterparts with the non-trivial four-form field. Using this proposed duality we derive a new dyon solution of 11D supergravity describing the M2 and M5-branes intersecting at a point.

  4. Dyonic Non-Abelian Black Holes

    CERN Document Server

    Brihaye, Y; Kunz, J; Tell, N

    1999-01-01

    We study static spherically symmetric dyonic black holes in Einstein-Yang-Mills-Higgs theory. As for the magnetic non-abelian black holes, the domain of existence of the dyonic non-abelian black holes is limited with respect to the horizon radius and the dimensionless coupling constant $\\alpha$, which is proportional to the ratio of vector meson mass and Planck mass. At a certain critical value of this coupling constant, $\\hat \\alpha$, the maximal horizon radius is attained. We derive analytically a relation between $\\hat numerically. Besides the fundamental dyonic non-abelian black holes, we study radially excited dyonic non-abelian black holes and globally regular gravitating dyons.

  5. BPS Equations in Omega-deformed N=4 Super Yang-Mills Theory

    CERN Document Server

    Ito, Katsushi; Nakajima, Hiroaki; Sasaki, Shin

    2015-01-01

    We study supersymmetry of N=4 super Yang-Mills theory in four dimensions deformed in the Omega-background. We take the Nekrasov-Shatashvili limit of the background so that two-dimensional super Poincare symmetry is recovered. We compute the deformed central charge of the superalgebra and study the 1/2 and 1/4 BPS states. We obtain the Omega-deformed 1/2 and 1/4 BPS dyon equations from the deformed supersymmetry transformation and the Bogomol'nyi completion of the energy.

  6. Non-perturbative monodromies in N=2 heterotic string vacua

    CERN Document Server

    Lópes-Cardoso, G; Mohaupt, T; Cardoso, Gabriel Lopes; Lust, Dieter; Mohaupt, Thomas

    1995-01-01

    We address non-perturbative effects and duality symmetries in N=2 heterotic string theories in four dimensions. Specifically, we consider how each of the four lines of enhanced gauge symmetries in the perturbative moduli space of N=2 T_2 compactifications is split into 2 lines where monopoles and dyons become massless. This amounts to considering non-perturbative effects originating from enhanced gauge symmetries at the microscopic string level. We show that the perturbative and non-perturbative monodromies consistently lead to the results of Seiberg-Witten upon identication of a consistent truncation procedure from local to rigid N=2 supersymmetry.

  7. Magnetic Half-Monopole Solutions

    Science.gov (United States)

    Teh, Rosy; Lim, Kok-Geng; Koh, Pin-Wai

    2009-07-01

    We present exact SU(2) Yang-Mills-Higgs monopole solutions of one half topological charge. These non-Abelian solutions possess gauge potentials which are singular along either the positive or the negative z-axis and common magnetic fields that are singular only at the origin where the half-monopole is located. These half-monopoles are actually a half Wu-Yang monopole and they can possess a finite point electric charge and become half-dyons. They do not necessarily satisfy the first order Bogomol'nyi equations and they possess infinite energy density at r = 0.

  8. The classical double copy for Taub-NUT spacetime

    CERN Document Server

    Luna, A; O'Connell, D; White, C D

    2015-01-01

    The double copy is a much-studied relationship between gauge theory and gravity amplitudes. Recently, this was generalised to an infinite family of classical solutions to Einstein's equations, namely stationary Kerr-Schild geometries. In this paper, we extend this to the Taub-NUT solution in gravity, which has a double Kerr-Schild form. The single copy of this solution is a dyon, whose electric and magnetic charges are related to the mass and NUT charge in the gravity theory. Finally, we find hints that the classical double copy extends to curved background geometries.

  9. An algebraic model of Coulomb scattering with spin

    Energy Technology Data Exchange (ETDEWEB)

    Levay, P. [School of Physics, University of Melbourne, Parkville (Australia); Department of Theoretical Physics, Institute of Physics, Technical University, Budapest (Hungary); Amos, K. [School of Physics, University of Melbourne, Parkville (Australia)

    2001-05-11

    A new matrix-valued realization for the so(3,1) algebra leads to a natural generalization of the Coulomb scattering problem of a particle with spin. The underlying su(2) gauge structure of this realization recasts the scattering problem into a familiar form, namely, the Coulomb scattering problem of a collection of dyons (particles having both electric and magnetic charges). Using this equivalent form and the results of Zwanziger for such systems, the scattering matrix can be calculated in the helicity formalism. (author)

  10. The classical double copy for Taub-NUT spacetime

    Science.gov (United States)

    Luna, Andrés; Monteiro, Ricardo; O'Connell, Donal; White, Chris D.

    2015-11-01

    The double copy is a much-studied relationship between gauge theory and gravity amplitudes. Recently, this was generalised to an infinite family of classical solutions to Einstein's equations, namely stationary Kerr-Schild geometries. In this paper, we extend this to the Taub-NUT solution in gravity, which has a double Kerr-Schild form. The single copy of this solution is a dyon, whose electric and magnetic charges are related to the mass and NUT charge in the gravity theory. Finally, we find hints that the classical double copy extends to curved background geometries.

  11. Preon model and family replicated E_6 unification

    CERN Document Server

    Das, C R

    2007-01-01

    Previously we suggested a new preon model of composite quark-leptons and bosons with the 'flipped' E_6\\times \\tilde{E_6} gauge symmetry group. We assumed that preons are dyons having both hyper-electric g and hyper-magnetic \\tilde g charges, and these preons-dyons are confined by hyper-magnetic strings which are an N=1 supersymmetric non-Abelian flux tubes created by the condensation of spreons near the Planck scale. In the present talk we show that the existence of the three types of strings with tensions T_k=k T_0 (k=1,2,3) producing three (and only three) generations of composite quark-leptons, also provides three generations of composite gauge bosons ('hyper-gluons') and, as a consequence, predicts the family replicated [E_6]^3 unification near the Planck scale. This group of unification has the possibility of breaking to the group of symmetry: [SU(3)_C]^3\\times [SU(2)_L]^3\\times [U(1)_Y]^3 \\times [U(1)_{(B-L)}]^3 which undergoes the breakdown to the Standard Model at lower energies. The AntiGUT scenario ...

  12. Preon Model and Family Replicated E_6 Unification

    Science.gov (United States)

    Das, Chitta Ranjan; Laperashvili, Larisa V.

    2008-02-01

    Previously we suggested a new preon model of composite quark-leptons and bosons with the 'flipped' E6 × ˜E6 gauge symmetry group. We assumed that preons are dyons having both hyper-electric g and hyper-magnetic ˜g charges, and these preons-dyons are confined by hyper-magnetic strings which are an N = 1 supersymmetric non-Abelian flux tubes created by the condensation of spreons near the Planck scale. In the present paper we show that the existence of the three types of strings with tensions Tk = kT0 (k = 1,2,3) producing three (and only three) generations of composite quark-leptons, also provides three generations of composite gauge bosons ('hyper-gluons') and, as a consequence, predicts the family replicated [E6]3 unification at the scale ~1017 GeV. This group of unification ha! s the possibility of breaking to the group of symmetry: [SU(3)C]3 × [SU(2)L]3 × [U(1)Y]3 × [U(1)(B-L)]3 which undergoes the breakdown to the Standard Model at lower energies. Some predictive advantages of the family replicated gauge groups of symmetry are briefly discussed.

  13. Preon Model and Family Replicated E_6 Unification

    Directory of Open Access Journals (Sweden)

    Larisa V. Laperashvili

    2008-02-01

    Full Text Available Previously we suggested a new preon model of composite quark-leptons and bosons with the 'flipped' $E_6imes widetilde{E_6}$ gauge symmetry group. We assumed that preons are dyons having both hyper-electric $g$ and hyper-magnetic $ilde g$ charges, and these preons-dyons are confined by hyper-magnetic strings which are an ${f N}=1$ supersymmetric non-Abelian flux tubes created by the condensation of spreons near the Planck scale. In the present paper we show that the existence of the three types of strings with tensions $T_k=k T_0$ $(k = 1,2,3$ producing three (and only three generations of composite quark-leptons, also provides three generations of composite gauge bosons ('hyper-gluons' and, as a consequence, predicts the family replicated $[E_6]^3$ unification at the scale $sim 10^{17}$ GeV. This group of unification has the possibility of breaking to the group of symmetry: $ [SU(3_C]^3imes [SU(2_L]^3imes [U(1_Y]^3 imes [U(1_{(B-L}]^3$ which undergoes the breakdown to the Standard Model at lower energies. Some predictive advantages of the family replicated gauge groups of symmetry are briefly discussed.

  14. Duality, Confinement and Supersymmetry in Restricted Quantum Chromodynamics (rcd)

    Science.gov (United States)

    Rana, J. M. S.

    Electromagnetic duality has been utilized to study the isocolor charge-dyon interactions in Restricted Quantum Chromodynamics (RCD),in terms of current-current correlation (in magnetic gauge)using dielectric and permeability parameters of the associated vacuum. In the state of dyonic superconductivity, it has been shown that the dual propagators behave as 1/k4 (for small k2), which in analogy with superconductivity (dual superconductivity) leads to the confinement of colored fluxes associated with dyonic quarks vide generalized Meissner effect. Based on semi-quantitative analysis of vortex solutions of RCD and by calculating the masses for the massive collective modes of the condensed vacuum, the expressions for the London penetration depth, coherence length and the associated flux energy functions for the type I and type II superconducting media have been obtained. It has further been demonstrated that in the type I medium, vortices tend to coalesce and hence are attractive, while the energy function supports repulsive forces between vortices in the type II superconducting medium. The RCD has been supersymmetrized in N=1 limit and the supersymmetric dyonic solutions have been obtained. In the dyonic background gauge one-loop quantum corrections to the dyonic mass have been calculated and it has been shown that the one-loop quantum corrections lead no change in classical mass of the dyon.

  15. A Study of Wall-Crossing: Flavored Kinks in D=2 QED

    CERN Document Server

    Lee, Sungjay

    2009-01-01

    We study spectrum of D=2 N=(2,2) QED with N+1 massive charged chiral multiplets, with care given to precise supermultiplet countings. In the infrared the theory flows to CP^N model with twisted masses, where we construct generic flavored kink solitons for the large mass regime, and study their quantum degeneracies. These kinks are qualitatively different and far more numerous than those of small mass regime, with features reminiscent of multi-pronged (p,q) string web, complete with the wall-crossing behavior. It has been also conjectured that spectrum of this theory is equivalent to the hypermultiplet spectrum of a certain D=4 Seiberg-Witten theory. We find that the correspondence actually extends beyond hypermultiplets in D=4, and that many of the relevant indices match. However, a D=2 BPS state is typically mapped to several different kind of dyons whose individual supermultiplets are rather complicated; the match of index comes about only after summing over indices of these different dyons. We note general...

  16. Particle-like structure of Lie algebras

    Science.gov (United States)

    Vinogradov, A. M.

    2017-07-01

    If a Lie algebra structure 𝔤 on a vector space is the sum of a family of mutually compatible Lie algebra structures 𝔤i's, we say that 𝔤 is simply assembled from the 𝔤i's. Repeating this procedure with a number of Lie algebras, themselves simply assembled from the 𝔤i's, one obtains a Lie algebra assembled in two steps from 𝔤i's, and so on. We describe the process of modular disassembling of a Lie algebra into a unimodular and a non-unimodular part. We then study two inverse questions: which Lie algebras can be assembled from a given family of Lie algebras, and from which Lie algebras can a given Lie algebra be assembled. We develop some basic assembling and disassembling techniques that constitute the elements of a new approach to the general theory of Lie algebras. The main result of our theory is that any finite-dimensional Lie algebra over an algebraically closed field of characteristic zero or over R can be assembled in a finite number of steps from two elementary constituents, which we call dyons and triadons. Up to an abelian summand, a dyon is a Lie algebra structure isomorphic to the non-abelian 2-dimensional Lie algebra, while a triadon is isomorphic to the 3-dimensional Heisenberg Lie algebra. As an example, we describe constructions of classical Lie algebras from triadons.

  17. Dualities of Deformed $\\mathcal{N=2}$ SCFTs from Link Monodromy on D3-brane States

    CERN Document Server

    Grassi, Antonella; Ruehle, Fabian; Shaneson, Julius L

    2016-01-01

    We study D3-brane theories that are dually described as deformations of two different $\\mathcal{N}=2$ superconformal theories with massless monopoles and dyons. These arise at the self-intersection of a seven-brane in F-theory, which cuts out a link on a small three-sphere surrounding the self-intersection. The spectrum is studied by taking small loops in the three-sphere, yielding a link-induced monodromy action on string junction D3-brane states, and subsequently quotienting by the monodromy. This reduces the differing flavor algebras of the $\\mathcal{N}=2$ theories to the same flavor algebra, as required by duality, and projects out charged states, yielding an $\\mathcal{N}=1$ superconformal theory on the D3-brane. In one, a deformation of a rank one Argyres-Douglas theory retains its $SU(2)$ flavor symmetry and exhibits a charge neutral flavor triplet that is comprised of electron, dyon, and monopole string junctions. From duality we argue that the monodromy projection should also be imposed away from the ...

  18. Cho decomposition of electrically charged one-half monopole

    Science.gov (United States)

    Ng, Ban-Loong; Teh, Rosy; Wong, Khai-Ming

    2014-03-01

    Recently we have carried out some work on the Cho decomposition of the electrically neutral, finite energy one-half monopole solution of the SU(2) Yang-Mills-Higgs field theory. In this paper, we performed the decomposition of the electrically charged solution using the same numerical procedure. The gauge potential of the one-half dyon solution is decomposed into Abelian and non-Abelian components. The semi-infinite string singularity in the gauge potential is a contribution of the Higgs field and hence topological in nature. The string singularity cannot be cancelled by the non-Abelian components of the gauge potential. However, the string singularity is integrable and the energy of the solution is finite. By decomposing the magnetic fields and covariant derivatives of the Higgs field into three isospin space directions, we are able to provide conclusive evidence that the constructed one-half dyon is certainly a non-BPS solution even in the limit of vanishing Higgs self-coupling constant and electric charge. Furthermore, we found that the time component of gauge function is parallel to the Higgs field in isospace only at large distances, elsewhere they are non-parallel.

  19. Argyres-Douglas Loci, Singularity Structures and Wall-Crossings in Pure N=2 Gauge Theories with Classical Gauge Groups

    CERN Document Server

    Seo, Jihye

    2012-01-01

    N=2 Seiberg-Witten theories allow an interesting interplay between the Argyres-Douglas loci, singularity structures and wall-crossing formulae. In this paper we investigate this connection by first studying the singularity structures of hyper-elliptic Seiberg-Witten curves for pure N=2 gauge theories with SU(r+1) and Sp(2r) gauge groups, and propose new methods to locate the Argyres-Douglas loci in the moduli space, where multiple mutually non-local BPS states become massless. In a region of the moduli space, we compute dyon charges for all 2r+2 and 2r+1 massless dyons for SU(r+1) and Sp(2r) gauge groups respectively for rank r>1. From here we elucidate the connection to the wall-crossing phenomena for pure Sp(4) Seiberg-Witten theory near the Argyres-Douglas loci, despite our emphasis being only at the massless sector of the BPS spectra. We also present 2r-1 candidates for the maximal Argyres-Douglas points for pure SO(2r+1) Seiberg-Witten theory.

  20. Unravelling Mathieu Moonshine

    CERN Document Server

    Govindarajan, Suresh

    2011-01-01

    The D1-D5-KK-p system naturally provides an infinite dimensional module graded by the dyonic charges whose dimensions are counted by the Igusa cusp form, Phi_{10}(Z)$. We show that the Mathieu group, M_{24}, acts on this module by recovering the Siegel modular forms that count twisted dyons as a trace over this module. This is done by recovering Borcherds product formulae for these modular forms using the M_{24} action. This establishes the correspondence (`moonshine') proposed in arXiv:0907.1410 that relates conjugacy classes of M_{24} to Siegel modular forms. This also, in a sense that we make precise, subsumes existing moonshines for M_{24} that relates its conjugacy classes to eta-products and Jacobi forms.

  1. Gauge Theories on the Coulomb Branch

    Science.gov (United States)

    Schwarz, John H.

    We construct the world-volume action of a probe D3-brane in AdS5 × S5 with N units of flux. It has the field content, symmetries, and dualities of the U(1) factor of 𝒩 = 4 U(N + 1) super Yang-Mills theory, spontaneously broken to U(N) × U(1) by being on the Coulomb branch, with the massive fields integrated out. This motivates the conjecture that it is the exact effective action, called a highly effective action (HEA). We construct an SL(2, Z) multiplet of BPS soliton solutions of the D3-brane theory (the conjectured HEA) and show that they reproduce the electrically charged massive states that have been integrated out as well as magnetic monopoles and dyons. Their charges are uniformly spread on a spherical surface, called a soliton bubble, which is interpreted as a phase boundary.

  2. Gauge Theories on the Coulomb branch

    CERN Document Server

    Schwarz, John H

    2014-01-01

    We construct the world-volume action of a probe D3-brane in $AdS_5 \\times S^5$ with $N$ units of flux. It has the field content, symmetries, and dualities of the $U(1)$ factor of ${\\cal N} =4$ $U(N+1)$ super Yang--Mills theory, spontaneously broken to $U(N) \\times U(1)$ by being on the Coulomb branch, with the massive fields integrated out. This motivates the conjecture that it is the exact effective action, called a `highly effective action' (HEA). We construct an $SL(2,Z)$ multiplet of BPS soliton solutions of the D3-brane theory (the conjectured HEA) and show that it reproduces the electrically charged massive states that have been integrated out as well as magnetic monopoles and dyons. Their charges are uniformly spread on a spherical surface, called a `soliton bubble', which is interpreted as a phase boundary.

  3. Vacuum Interpretation for Supergravity M-Branes

    CERN Document Server

    Chen, C M; Sharakin, S A; Chen, Chiang-Mei; Gal'tsov, Dmitri V.; Sharakin, Sergei A.

    2000-01-01

    A non-local classical duality between the three-block truncated 11D supergravity and the 8D vacuum gravity with two commuting Killing symmetries is established. The supergravity four-form field is generated via an inverse dualisation of the corresponding Killing two-forms in six dimensions. 11D supersymmetry condition is shown to be equivalent to existence of covariantly constant spinors in eight dimensions. Thus any solution to the vacuum Einstein equations in eight dimensions depending on six coordinates and admitting Killing spinors have supersymmetric 11D-supergravity counterparts. Using this duality we derive some new brane solutions to 11D-supergravity including 1/4 supersymmetric intersecting M-branes with a NUT parameter and a dyon solution joining the M2 and M5-branes intersecting at a point.

  4. Asymmetric black dyonic holes

    Directory of Open Access Journals (Sweden)

    I. Cabrera-Munguia

    2015-04-01

    Full Text Available A 6-parametric asymptotically flat exact solution, describing a two-body system of asymmetric black dyons, is studied. The system consists of two unequal counterrotating Kerr–Newman black holes, endowed with electric and magnetic charges which are equal but opposite in sign, separated by a massless strut. The Smarr formula is generalized in order to take into account their contribution to the mass. The expressions for the horizon half-length parameters σ1 and σ2, as functions of the Komar parameters and of the coordinate distance, are displayed, and the thermodynamic properties of the two-body system are studied. Furthermore, the seven physical parameters satisfy a simple algebraic relation which can be understood as a dynamical scenario, in which the physical properties of one body are affected by the ones of the other body.

  5. Superconductivity in Restricted Chromo-Dynamics (RCD) in SU(2) and SU(3) Gauge Theories

    Science.gov (United States)

    Kumar, Sandeep

    2010-03-01

    Characterizing the dyonically condensed vacuum by the presence of two massive modes (one determining how fast the perturbative vacuum around a colour source reaches the condensation and the other giving the penetration length of colored flux) in SU(2) theory, it has been shown that due to the dynamical breaking of magnetic symmetry the vacuum of RCD acquires the properties similar to those of relativistic superconductor. Analysing the behaviour of dyons around RCD string, the solutions of classical field equations have been obtained and it has been shown that magnetic constituent of dyonic current is zero at centre of the string and also at the points far away from the string. Extending RCD in the realistic color gauge group SU(3), it has been shown that the resulting Lagrangian leads to dyonic condensation, color confinement and the superconductivity with the presence of two scalar modes and two vector modes.

  6. Dyonic non-Abelian vortex strings in supersymmetric and non-supersymmetric theories: tensions and higher derivative corrections

    CERN Document Server

    Eto, Minoru

    2014-01-01

    Dyonic non-Abelian local/semi-global vortex strings are studied in detail in supersymmetric/non-supersymmetric Yang-Mills-Higgs theories. While the BPS tension formula is known to be the same as that for the BPS dyonic instanton, we find that the non-BPS tension formula is approximated very well by the well-known tension formula of the BPS dyon. We show that this mysterious tension formula for the dyonic non-BPS vortex stings can be understood from the perspective of a low energy effective field theory. Furthermore, we propose an efficient method to obtain an effective theory of a single vortex string, which includes not only lower derivative terms but also all order derivative corrections by making use of the tension formula. We also find a novel dyonic vortex string whose internal orientation vectors rotate in time and spiral along the string axis.

  7. Second Quantized Mathieu Moonshine

    CERN Document Server

    Persson, Daniel

    2013-01-01

    We study the second quantized version of the twisted twining genera of generalized Mathieu moonshine, and verify that they give rise to Siegel modular forms with infinite product representations. Most of these forms are expected to have an interpretation as twisted partition functions counting 1/4 BPS dyons in type II superstring theory on K3\\times T^2 or in heterotic CHL-models. We show that all these Siegel modular forms, independently of their possible physical interpretation, satisfy an "S-duality" transformation and a "wall-crossing formula". The latter reproduces all the eta-products of an older version of generalized Mathieu moonshine proposed by Mason in the '90s. Surprisingly, some of the Siegel modular forms we find coincide with the multiplicative (Borcherds) lifts of Jacobi forms in umbral moonshine.

  8. Dynamics of a magnetic monopole in matter; Dynamique d'un monopole magnetique dans la matiere

    Energy Technology Data Exchange (ETDEWEB)

    Fayolle, David [Inst. de Physique Nucleaire, Lyon-1 Univ., 69 - Villeurbanne (France)

    1999-07-01

    We study the dynamics of a slow (v/c {approx} 10{sup -4}) Dirac magnetic monopole in matter. First, we show at macroscopic scale that the force exerted on a monopole is F vector = g(H vector - v vector x D vector), as if the monopole was not allowed to cross neither microscopic current loops nor microscopic electric dipoles. We interpret this result in terms of adiabatic monopole-atom interactions. Secondly, we generalized the macroscopic Maxwell's equations in 'dual symmetric' matter which contains monopoles and dyons, from which we deduce several properties such as the velocity of light, the behaviour under C, P and T transformation, and we generalize the energy-momentum tensor. These equations also apply when nucleons or electrons possess an electric dipole moment and we propose two experimental methods for detecting this electric dipole moment via its macroscopic polarization effects. (author)

  9. On the Moller Energy Associated with Black Holes

    CERN Document Server

    Salti, M; Salti, Mustafa; Aydogdu, Oktay

    2006-01-01

    In this paper, we consider both Einstein's theory of general relativity and the teleparallel gravity (the tetrad theory of gravitation) analogs of the energy-momentum definition of M{\\o}ller in order to explicitly evaluate the energy distribution (due to matter and fields including gravity) associated with a general black hole model which includes several well-known black holes. To calculate the special cases of energy distribution, here we consider eight different types of black hole models such as anti-de Sitter C-metric with spherical topology, charged regular black hole, conformal scalar dyon black hole, dyadosphere of a charged black hole, regular black hole, charged topological black hole, charged massless black hole with a scalar field, and the Schwarzschild-de Sitter space-time. Our teleparallel gravitational result is also independent of the teleparallel dimensionless coupling constant, which means that it is valid not only in teleparallel equivalent of general relativity but also in any teleparallel...

  10. Four-Momentum Associated with the Vaidya Black Holes in Teleparallel Gravity

    CERN Document Server

    Korunur, M; Aydogdu, O; Salti, M; Acikgoz, Irfan; Aydogdu, Oktay; Korunur, Murat; Salti, Mustafa

    2006-01-01

    We employ Moller's energy-momentum formulation in tetrad theory of gravity in order to compute energy and momentum components (due to matter plus fields including gravity) associated with the six cases of Vaidya black hole solutions (the monopole solution, the de Sitter and anti-de Sitter solutions, the charged Vaidya solution, the monopole-de Sitter-charged Vaidya solution, the radiating dyon solution, the Husain solutions). The results obtained agree with those calculated in general relativity by Yang and Jeng, and are independent of teleparallel dimensionless coupling parameter $\\lambda$ which means that these results are valid not only in teleparallel equivalent of general relativity but also in any teleparallel model. The energy-momentum distribution for the monopole solution vanishes everywhere, for the other solutions we have non zero energy component, and only the energy distribution of the de Sitter and anti-de Sitter solutions is independent of $t$. Furthermore, our results also sustain (a) the impo...

  11. Salty popcorn in a homogeneous low-dimensional toy model of holographic QCD

    CERN Document Server

    Elliot-Ripley, Matthew

    2016-01-01

    Recently, a homogeneous ansatz has been used to study cold dense nuclear matter in the Sakai-Sugimoto model of holographic QCD. To justify this homogeneous approximation we here investigate a homogeneous ansatz within a low-dimensional toy version of Sakai-Sugimoto to study finite baryon density configurations and compare it to full numerical solutions. We find the ansatz corresponds to enforcing a dyon salt arrangement in which the soliton solutions are split into half-soliton layers. Within this ansatz we find analogues of the proposed baryonic popcorn transitions, in which solutions split into multiple layers in the holographic direction. The homogeneous results are found to qualitatively match the full numerical solutions, lending confidence to the homogeneous approximations of the full Sakai-Sugimoto model. In addition, we find exact compact solutions in the high density, flat space limit which demonstrate the existence of further popcorn transitions to three layers and beyond.

  12. Confluent Heun functions and the physics of black holes: Resonant frequencies, Hawking radiation and scattering of scalar waves

    Science.gov (United States)

    Vieira, H. S.; Bezerra, V. B.

    2016-10-01

    We apply the confluent Heun functions to study the resonant frequencies (quasispectrum), the Hawking radiation and the scattering process of scalar waves, in a class of spacetimes, namely, the ones generated by a Kerr-Newman-Kasuya spacetime (dyon black hole) and a Reissner-Nordström black hole surrounded by a magnetic field (Ernst spacetime). In both spacetimes, the solutions for the angular and radial parts of the corresponding Klein-Gordon equations are obtained exactly, for massive and massless fields, respectively. The special cases of Kerr and Schwarzschild black holes are analyzed and the solutions obtained, as well as in the case of a Schwarzschild black hole surrounded by a magnetic field. In all these special situations, the resonant frequencies, Hawking radiation and scattering are studied.

  13. Seiberg-Witten and 'Polyakov-like' Magnetic Bion Confinements are Continuously Connected

    Energy Technology Data Exchange (ETDEWEB)

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

    2012-06-01

    We study four-dimensional N = 2 supersymmetric pure-gauge (Seiberg-Witten) theory and its N = 1 mass perturbation by using compactification on S{sup 1} x R{sup 3}. It is well known that on R{sup 4} (or at large S{sup 1} size L) the perturbed theory realizes confinement through monopole or dyon condensation. At small S{sup 1}, we demonstrate that confinement is induced by a generalization of Polyakov's three-dimensional instanton mechanism to a locally four-dimensional theory - the magnetic bion mechanism - which also applies to a large class of nonsupersymmetric theories. Using a large- vs. small-L Poisson duality, we show that the two mechanisms of confinement, previously thought to be distinct, are in fact continuously connected.

  14. Classical hair in string theory; 1, general formulation

    CERN Document Server

    Larsen, F; Larsen, Finn; Wilczek, Frank

    1996-01-01

    We discuss why classical hair is desirable for the description of black holes, and show that it arises generically in a wide class of field theories involving extra dimensions. We develop the canonical formalism for theories with the matter content that arises in string theory. General covariance and duality are used to determine the form of surface terms. We derive an effective theory (reduced Hamiltonian) for the hair in terms of horizon variables. Solution of the constraints expresses these variables in terms of hair accessible to an observer at infinity. We exhibit some general properties of the resulting theory, including a formal identification of the temperature and entropy. The Cveti\\v{c}-Youm dyon is described in some detail, as an important example.

  15. The MoEDAL experiment at the LHC: status and results

    Science.gov (United States)

    Mitsou, Vasiliki A.; MoEDAL Collaboration

    2017-07-01

    The MoEDAL experiment at the LHC is optimised to detect highly ionising particles such as magnetic monopoles, dyons and (multiply) electrically charged stable massive particles predicted in a number of theoretical scenarios. MoEDAL, deployed in the LHCb cavern, combines passive nuclear track detectors with magnetic monopole trapping volumes (MMTs), while spallation-product backgrounds are being monitored with an array of MediPix pixel detectors. An introduction to the detector concept and its physics reach, complementary to that of the large general purpose LHC experiments ATLAS and CMS, will be given. Emphasis is given to the recent MoEDAL results at 13 TeV, where the null results from a search for magnetic monopoles in MMTs exposed in 2015 LHC collisions set the world-best limits on particles with magnetic charges more than 1.5 Dirac charge. The potential to search for heavy, long-lived supersymmetric electrically-charged particles is also discussed.

  16. The study of the field equations of a rotating magnetic monopole%旋转磁单极子场方程的研究

    Institute of Scientific and Technical Information of China (English)

    胡永红; 毛彩霞

    2012-01-01

    从‘t Hooft磁单极子和Julia-Zee双子的场方程及其严格经典解出发,推导了稳态旋转磁单极子的场方程.并讨论了旋转对磁单极子解随旋转角速度增大的变化情况.%We deduced the stable-state field equations of the rotating magnetic monopole based on the field equations and their solutions of the ' t Hooft magnetic monopole and the Julia-Zee dyon. And we discussed the variations of the rotating magnetic monopole solution with respect to the variation of the angular velocity of rotation.

  17. The Search for Highly Ionizing Particles in e$^{+}$e$^{-}$ Collisions at LEP using (MODAL) (MOnopole Detector At Lep)

    CERN Multimedia

    2002-01-01

    The experiment is designed to search for highly ionizing particles such as the monopole and the dyon. On the assumption that monopole-antimonopole pairs are produced via a virtual photon intermediate state, and have a mass in the range 0-100~GeV, a direct search for Dirac monopoles using e$^+$e$^-$ annihilation carries a distinct cross-sectional advantage over a search using hadron colliders.\\\\ \\\\ The MODAL detector is formed from Lexan/CR-39 dielectric track detector modules arranged in a polyhedral configuration outside of the vacuum pipe and around the intersection region, as shown on the opposite page. Etchable track detectors are more sensitive to particles at normal incidence, the shape of the detector was chosen with this fact in mind to allow for maximum acceptance of monopoles which leave the beam pipe. These dielectric track detectors will enable us to detect particles with magnetic charge: 20e$<$g$ _{d}

  18. The Theory of High Energy Collision Processes - Final Report DOE/ER/40158-1

    Energy Technology Data Exchange (ETDEWEB)

    Wu, Tai, T.

    2011-09-15

    In 1984, DOE awarded Harvard University a new Grant DE-FG02-84ER40158 to continue their support of Tai Tsun Wu as Principal Investigator of research on the theory of high energy collision processes. This Grant was renewed and remained active continuously from June 1, 1984 through November 30, 2007. Topics of interest during the 23-year duration of this Grant include: the theory and phenomenology of collision and production processes at ever higher energies; helicity methods of QED and QCD; neutrino oscillations and masses; Yang-Mills gauge theory; Beamstrahlung; Fermi pseudopotentials; magnetic monopoles and dyons; cosmology; classical confinement; mass relations; Bose-Einstein condensation; and large-momentum-transfer scattering processes. This Final Report describes the research carried out on Grant DE-FG02-84ER40158 for the period June 1, 1984 through November 30, 2007. Two books resulted from this project and a total of 125 publications.

  19. Generalized dual symmetry of nonabelian theories and the freezing of \\alpha_s

    CERN Document Server

    Das, C R; Nielsen, H B

    2006-01-01

    The quantum Yang-Mills theory, describing a system of fields with non-dual (chromo-electric g) and dual (chromo-magnetic \\tilde g) charges and revealing the generalized dual symmetry, is developed by analogy with the Zwanziger formalism in QED. The renormalization group equations (RGEs) for pure nonabelian theories are analysed for both constants, \\alpha = g^2 / 4\\pi and \\tilde\\alpha = {\\tilde g}^2 / 4\\pi. The pure SU(3) \\times \\widetilde{SU(3)} gauge theory is investigated as an example. We consider not only monopoles, but also dyons. The behaviour of the total SU(3) \\beta-function is investigated in the whole region of \\alpha \\equiv \\alpha_s: 0 \\le \\alpha < \\infty. It is shown that this \\beta-function is antisymmetric under the interchange \\alpha \\leftrightarrow 1/\\alpha and is given by the well-known perturbative expansion not only for \\alpha \\ll 1, but also for \\alpha \\gg 1. Using an idea of the Maximal Abelian Projection by t' Hooft, we considered the formation of strings - the ANO flux tubes - in the...

  20. Composite model of quark-leptons and duality

    CERN Document Server

    Das, C R; Laperashvili, Larisa

    2006-01-01

    In the present investigation the model of preons and their composites is constructed in the framework of the superstring-inspired flipped E_6\\times \\tilde E_6 gauge group of symmetry which reveals a generalized dual symmetry. We assume that preons are dyons, which in our model are confined by hyper-magnetic strings - composite N = 1 supersymmetric non-Abelian flux tubes created by the condensation of spreons near the Planck scale. We show that the six types of strings having fluxes \\Phi_n = n\\Phi_0 (n = \\pm 1,\\pm 2,\\pm 3) produce three generations of composite quark-leptons and bosons. We give an explanation of hierarchies of masses in the Standard Model. The following values of masses obtained in our preonic model: m_t\\approx 173 GeV, m_c\\approx 1 GeV and m_u\\approx 4 MeV, m_b \\approx 4 GeV, m_s\\approx 140 MeV and m_d\\approx 4 MeV, m_\\tau\\approx 2 GeV \\quad and m_\\mu \\approx 100 MeV, are in agreement with the experimentally known results. The following left-handed neutrino masses are predicted: m_1\\approx 1....

  1. Stationary BPS solutions to dilaton-axion gravity

    CERN Document Server

    Clément, G

    1996-01-01

    Stationary four-dimensional BPS solutions to gravity coupled bosonic theories admitting a three--dimensional sigma--model representation on coset spaces are interpreted as null geodesics of the target manifold equipped with a certain number of harmonic maps. For asymptotically flat (or Taub--NUT) space--times such geodesics can be directly parametrized in terms of charges saturating the Bogomol'nyi--Gibbons--Hull bound, and classified according to the structure of related coset matrices. We investigate in detail the ``dilaton--axion gravity'' with one vector field, and show that in the space of BPS solutions an SO(1,2) \\times SO(2) classical symmetry is acting. Within the present formalism the most general multicenter (IWP/Taub--NUT dyon) solutions are derived in a simple way. We also discover a large new class of asymptotically flat solutions for which the dilaton and axion charges are constrained only by the BPS bound. The string metrics for these solutions are generically regular. Both the IWP class and th...

  2. Teens join the MoEDAL collaboration

    CERN Multimedia

    Stephanie Hills

    2013-01-01

    The principal investigator for any institute joining an experimental collaboration is generally a self-assured researcher with evident leadership skills and an in-depth knowledge of their subject gained over many years. Katherine Evans fits the brief in every respect, except that she is 17 years old and her research institute is the Langton Star Centre, based at the Simon Langton Grammar School for Boys. The school has just joined the MoEDAL experiment.   Teacher Becky Parker (left) with two students from the Simon Langton Grammar School for Boys in the MoEDAL experimental area. MoEDAL, the latest LHC experiment has detectors located close to the interaction point of the LHCb experiment. This new experiment is designed to search for the highly ionizing avatars of new physics at the LHC, specifically the magnetic monopole or dyon and other highly ionizing stable massive particles from a number of beyond-the-Standard-Model scenarios. MoEDAL was approved in 2010 and is due to start taking data i...

  3. Ehlers-Harrison transformations and black holes in Dilaton-Axion Gravity with multiple vector fields

    CERN Document Server

    Galtsov, D V

    1997-01-01

    Dilaton-axion gravity with $p U(1)$ vector fields is studied on space-times admitting a timelike Killing vector field. Three-dimensional sigma-model is derived in terms of Kähler geometry, and holomorphic representation of the SO(2,2+p) global symmetry is constructed. A general static black hole solution depending on $2p+5$ parameters is obtained via SO(2,2+p) covariantization of the Schwarzschild solution. The metric in the curvature coordinates looks as the variable mass Reissner-Nordström one and generically possesses two horizons. The inner horizon is pushed to the singularity if electric and magnetic SO(p) charge vectors are parallel. For non-parallel charges the inner horizon has a finite area except for an extremal limit when this property is preserved only for orthogonal charges. Extremal dyon configurations with orthogonal charges have finite horizon radii continuously varying from zero to the ADM mass. New general solution is endowed with a NUT parameter, asymptotic values of dilaton and axion, an...

  4. Extremal black holes in D=4 Gauss-Bonnet gravity

    CERN Document Server

    Chen, C M; Orlov, D G; Chen, Chiang-Mei; Galtsov, Dmitri V.; Orlov, Dmitry G.

    2006-01-01

    We show that four-dimensional Gauss-Bonnet gravity allows for asymptotically flat black hole solutions with a degenerate event horizon of the Reissner-Nordstrom type ($AdS_2\\times S^2$). Such black holes exist for the dilaton coupling constant within the interval $0\\leq adyons), but they can not be purely magnetic. Purely electric solutions are constructed numerically and the critical dilaton coupling is determined $a_{\\rm cr}\\simeq 0.48821953125$. For each value of the dilaton coupling $a$ within this interval and for a fixed value of the Gauss--Bonnet coupling $\\alpha$ we have a family of black holes parameterized by their electric charge. Relation between the mass, the electric charge and the dilaton charge at both ends of the allowed interval of $a$ is reminiscent of the BPS condition for dilaton black holes in the Einstein-Maxwell-Dilaton theory. The entropy of the DGB extremal black holes is twice...

  5. Domain Walls in Supersymmetric Yang-Mills Theories

    CERN Document Server

    Kaplunovsky, V S; Yankielowicz, Shimon; Kaplunovsky, Vadim S.; Sonnenschein, Jacob; Yankielowicz, Shimon

    1999-01-01

    We study BPS saturated domain walls in the supersymmetric SU(2) gauge theory. For a theory with a very light adjoint scalar (mass <~ Lambda/400) we use the perturbed N=2 Seiberg-Witten theory to calculate the actual field configuration of the domain wall. The wall has a sandwich-like five-layer structure of three distinct phases -- electric confinement, Coulomb and oblique confinement -- separated by two separate transition regions. For larger scalar masses, the three-phase structure disappears and the Seiberg-Witten theory becomes inadequate because of two major problems: First, the higher-derivative interactions between the light fields become relevant and second, both the magnetic monopole condensate and the dyon condensate show up in the same region of space, a phenomenon indescribable in terms of a local field theory. Nevertheless, we argue that the BPS saturated domain wall continues to exist in this regime and give a qualitative description of the scalar and gaugino condensates. Finally, we discuss ...

  6. D-Brane Chemistry

    CERN Document Server

    Burgess, C P; Quevedo, Fernando; Rabadan, Raul

    2004-01-01

    We study several different kinds of bound states built from D-branes and orientifolds. These states are to atoms what branonium - the bound state of a brane and its anti-brane - is to positronium, inasmuch as they typically involve a light brane bound to a much heavier object with conserved charges which forbid the system's decay. We find the fully relativistic motion of a probe Dp'-brane in the presence of source Dp-branes is integrable by quadratures. Keplerian conic sections are obtained for special choices for p and p' and the systems are shown to be equivalent to nonrelativistic systems. Their quantum behaviour is also equivalent to the corresponding non-relativistic limit. In particular the p=6, p'=0 case is equivalent to a non-relativistic dyon in a magnetic monopole background, with the trajectories in the surface of a cone. We also show that the motion of the probe branes about D6-branes in IIA theory is equivalent to the motion of the corresponding probes in the uplift to M-theory in 11 dimensions, ...

  7. UM POBRE HOMEM: A TRAJETÓRIA ECONÔMICA E SOCIAL DO RIO GRANDE DO SUL DURANTE A PRIMEIRA REPÚBLICA NA VISÃO DE DYONÉLIO MACHADO.

    Directory of Open Access Journals (Sweden)

    Samara Duarte da Silva

    2015-05-01

    Full Text Available A proposta deste artigo é analisar a trajetória econômica e social do Rio Grande do Sul durante a Primeira República, a partir de um conto de Dyonélio Machado, intitulado Um pobre homem (1927. A analogia será feita a partir de três características selecionadas: a questão da rizicultura nas lavouras, a prostituição, e, por último, as doenças que se propagavam pela falta de condições de higiene nas camadas sociais mais populares. A linha teórica na qual se insere a análise está ligada à História Comparada, postulada por Marcel Detienne. Tal proposta metodológica insere um olhar diversificado do historiador em relação aos seus objetos de pesquisa. Além de remeter à interdisciplinaridade, o método comparativo abrange também o estudo de materiais diacrônicos.

  8. BPS Boojums in N=2 supersymmetric gauge theories II

    CERN Document Server

    Arai, Masato; Eto, Minoru

    2016-01-01

    We continue our study of 1/4 Bogomol'nyi-Prasad-Sommerfield (BPS) composite solitons of vortex strings, domain walls and boojums in N=2 supersymmetric Abelian gauge theories in four dimensions. In this work, we numerically confirm that a boojum appearing at an end point of a string on a thick domain wall behaves as a magnetic monopole with a fractional charge in three dimensions. We introduce a "magnetic" scalar potential whose gradient gives magnetic fields. Height of the magnetic potential has a geometrical meaning that is shape of the domain wall. We find a semi-local extension of boojum which has an additional size moduli at an end point of a semi-local string on the domain wall. Dyonic solutions are also studied and we numerically confirm that the dyonic domain wall becomes an electric capacitor storing opposite electric charges on its skins. At the same time, the boojum becomes fractional dyon whose charge density is proportional to ${\\vec E} \\cdot {\\vec B}$. We also study dual configurations with an in...

  9. Dedicated Trigger for Highly Ionising Particles at ATLAS

    CERN Document Server

    Katre, Akshay; The ATLAS collaboration

    2015-01-01

    In 2012, a novel strategy was designed to detect signatures of Highly Ionising Particles (HIPs) such as magnetic monopoles, dyons or Qballs with the ATLAS trigger system. With proton-proton collisions at a centre of mass enegy of 8 TeV, the trigger was designed to have unique properties as a tracker for HIPs. It uses only the Transition Radiation Tracker (TRT) system, applying an algorithm distinct from standard tracking ones. The unique high threshold readout capability of the TRT is used at the location where HIPs in the detector are looked for. In particular the number and the fraction of TRT high threshold hits is used to distinguish HIPs from background processes. The trigger requires significantly lower energy depositions in the electro-magnetic calorimeters as a seed unlike previously used trigger algorithms for such searches. Thus the new trigger is capable of probing a large range of HIP masses and charges. We will give a description of the algorithms for this newly developed trigger for HIP searches...

  10. Academic hospital staff compliance with a fecal immunochemical test-based colorectal cancer screening program

    Institute of Scientific and Technical Information of China (English)

    Georgia Vlachonikolou; Paraskevas Gkolfakis; Athanasios D Sioulas; Ioannis S Papanikolaou; Anastasia Melissaratou; Giannis-Aimant Moustafa; Eleni Xanthopoulou; Gerasimos Tsilimidos; Ioanna Tsironi; Paraskevas Filippidis; Chrysoula Malli; George D Dimitriadis; Konstantinos Triantafyllou

    2016-01-01

    AIM: To measure the compliance of an Academic Hospital staff with a colorectal cancer(CRC) screening program using fecal immunochemical test(FIT).METHODS: All employees of "Attikon" University General Hospital aged over 50 years were thoroughly informed by a team of physicians and medical students about the study aims and they were invited to undergo CRC screening using two rounds of FIT(DyoniFOB~ Combo H, DyonMed SA, Athens, Greece). The tests were provided for free and subjects tested positive were subsequently referred for colonoscopy. One year after completing the two rounds, participants were asked to be re-screened by means of the same test.RESULTS: Among our target population consisted of 211 employees, 59(27.9%) consented to participate, but only 41(19.4%) and 24(11.4%) completed the first and the second FIT round, respectively. Female gender was significantly associated with higher initial participation(P = 0.005) and test completion- first and second round-(P = 0.004 and P = 0.05) rates, respectively. Phy sician’s(13.5% vs 70.2%, P < 0.0001) participation and test completion rates(7.5% vs 57.6%, P < 0.0001 for the first and 2.3% vs 34%, P < 0.0001 for the second round) were significantly lower compared to those of the administrative/technical staff. Similarly, nurses participated(25.8% vs 70.2%, P = 0.0002) and completed the first test round(19.3% vs 57.6%, P = 0.004) in a significant lower rate than the administrative/technical staff. One test proved false positive. No participant repeated the test one year later.CONCLUSION: Despite the well-organized, guided and supervised provision of the service, the compliance of the Academic Hospital personnel with a FIT-based CRC screening program was suboptimal, especially among physicians.

  11. List of Posters

    Science.gov (United States)

    . Saturation effects in diffractive scattering at LHC By Oleg Selugin. A nonperturbative expansion method in QCD and R-related quantities By Igor Solovtsov. Z-scaling and high multiplicity particle Production in bar pp/pp & AA collisions at Tevatron and RHIC By Mikhail Tokarev. Scaling behaviour of the reactionsdd - > p↑ /3H and pd - > pd with pT at energy I-2 GeV By Yuri Uzikov. [ADS Note: Title formula can not be rendered correctly in ASCII.] CP violation, rare decays, CKM: Precision Measurements of the Mass of the Top Quark at CDF (Precision Top Mass Measurements at CDF) By Daniel Whiteson. Measurement of the Bs Oscillation at CDF By Luciano Ristori. The Bs mixing phase at LHCb By J. J. van Hunen. ATLAS preparations for precise measurements of semileptonic rare B decays By K. Toms. Hadron spectroscopy & exotics: Searches for radial excited states of charmonium in experiments using cooled antiproton beams By M. Yu. Barabanov. Retardation effects in the rotating string model By Fabien Buisseret and Claude Semay. Final results from VEPP-2M (CMD-2 and SND) By G. V. Fedotovich. Heavy Quark Physics: Prospects for B physics measurements using the CMS detector at the LHC By Andreev Valery. Heavy flavour production at HERA-B By Andrey Bogatyrev. B-Meson subleading form factors in the Heavy Quark Effective Theory (HQET) By Frederic Jugeau. Beyond the Standard Model: Monopole Decay in a Variable External Field By Andrey Zayakin. Two-Loop matching coefficients for the strong coupling in the MSSM By Mihaila Luminita. Test of lepton flavour violation at LHC By Hidaka Keisho. Looking at New Physics through 4 jets and no ET By Maity Manas. Are Preons Dyons? Naturalness of Three Generations By Das Chitta Ranjan. SUSY Dark Matter at Linear Collider By Sezen Sekmen, Mehmet Zeyrek. MSSM light Higgs boson scenario and its test at hadron colliders By Alexander Belyaev. Antiscalar Approach to Gravity and Standard Model By E. Mychelkin. GRID distributed analysis in high energy physics: PAX