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Magnetic monopoles in Yang-Mills-Higgs theory with a non-abelian unbroken gauge group are classified by holomorphic charges in addition to the topological charges familiar from the abelian case. As a result the moduli spaces of monopoles of…

High Energy Physics - Theory · Physics 2009-10-30 F. A. Bais , B. J. Schroers

We consider dimensionally reduced three-dimensional supersymmetric Yang-Mills-Chern-Simons theory. Although the N=1 supersymmetry of this theory does not allow true massive Bogomol'nyi-Prasad-Sommerfield (BPS) states, we find approximate…

High Energy Physics - Theory · Physics 2009-11-07 J. R. Hiller , S. S. Pinsky , U. Trittmann

We consider the low-energy dynamics of a pair of distinct fundamental monopoles that arise in the $N=4$ supersymmetric $SU(3)$ Yang-Mills theory broken to $U(1)\times U(1)$. Both the long distance interactions and the short distance…

High Energy Physics - Theory · Physics 2015-06-26 Kimyeong Lee , Erick J. Weinberg , Piljin Yi

We use the well-known Bogomolny's equations, in general coordinate system, for BPS monopoles and dyons in the $SU(2)$ Yang-Mills-Higgs model to obtain an explicit form of BPS Lagrangian density under the BPS Lagrangian method. We then…

High Energy Physics - Theory · Physics 2022-07-04 Ardian Nata Atmaja

Domain walls in strongly coupled gauge theories are discussed. A general mechanism is suggested automatically leading to massless gauge bosons localized on the wall. In one of the models considered, outside the wall the theory is in the…

High Energy Physics - Theory · Physics 2009-10-30 G. Dvali , M. Shifman

We study N=1 SUSY theories in four dimensions with multiple discrete vacua, which admit solitonic solutions describing segments of domain walls meeting at one-dimensional junctions. We show that there exist solutions preserving one quarter…

High Energy Physics - Theory · Physics 2009-10-31 Sean M. Carroll , Simeon Hellerman , Mark Trodden

We consider N=1 supersymmetric Yang-Mills theory with fundamental matter in the large-N_c approximation in 1+1 dimensions. We add a Chern-Simons term to give the adjoint partons a mass and solve for the meson bound states. Here ``mesons''…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. R. Hiller , S. S. Pinsky , U. Trittmann

We present a unified treatment of classical solutions of noncommutative gauge theories. We find all solutions of the noncommutative Yang-Mills equations in 2 dimensions; and show that they are labelled by two integers -- the rank of gauge…

High Energy Physics - Theory · Physics 2010-02-03 David J. Gross , Nikita A. Nekrasov

Existence of SL(2,Z) duality in toroidally compactified heterotic string theory (or in the N=4 supersymmetric gauge theories), that includes the strong weak coupling duality transformation, implies the existence of certain supersymmetric…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen

We discuss bosonic and supersymmetric Yang-Mills matrix models with compact semi-simple gauge group. We begin by finding convergence conditions for the partition and correlation functions. Moving on, we specialise to the SU(N) models with…

High Energy Physics - Theory · Physics 2007-05-23 Peter Austing

We report on generalized half-dyon solutions in SU(2) Yang-Mills-Higgs theory, namely Type I and Type II solutions. These solutions are constructed by considering $\phi$-winding number $1\leq n \leq 4$, electric charge parameter $0 \leq\eta…

High Energy Physics - Theory · Physics 2024-01-02 Guo-Quan Wong , Khai-Ming Wong , Dan Zhu

We give an argument showing that in N=4 supersymmetric gauge theories there exists at least one bound state saturating the Bogomol'nyi bound with electric charge $p$ and magnetic charge $q$, for each $p$ and $q$ relatively prime, and we…

High Energy Physics - Theory · Physics 2009-10-28 M. Porrati

Based on a detailed analysis of nonlinear field equations of the SU(2) Yang-Mills-Higgs system, we obtain the effective field theory describing low-energy interaction of BPS dyons and massless particles (i.e., photons and Higgs particles).…

High Energy Physics - Theory · Physics 2009-10-30 Dongsu Bak , Choonkyu Lee , Kimyeong Lee

We study $\mathcal{N}=1$ supersymmetric Yang-Mills theory (SYM) on the lattice. The non-perturbative nature of supersymmetric field theories is still largely unknown. Similarly to QCD, SYM is confining and contains strongly bound states.…

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…

High Energy Physics - Theory · Physics 2016-01-20 Katsushi Ito , Yusuke Kanayama , Hiroaki Nakajima , Shin Sasaki

In this paper we constructed superloop space duality for a four dimensional supersymmetric Yang-Mills theory with $\mathcal{N} =1$ supersymmetry. This duality reduces to the ordinary loop space duality for the ordinary Yang-Mills theory. It…

High Energy Physics - Theory · Physics 2015-07-15 Mir Faizal , Tsou Sheung Tsun

Starting from Nahm's equations, we explore BPS magnetic monopoles in the Yang-Mills Higgs theory of gauge group $Sp(4)$ which is broken to $SU(2)\times U(1)$. A family of BPS field configurations with purely Abelian magnetic charge describe…

High Energy Physics - Theory · Physics 2016-08-25 Kimyeong Lee , Changhai Lu

Recent developments in the understanding of $N=2$ supersymmetric Yang-Mills theory in four dimensions suggest a new point of view about Donaldson theory of four manifolds: instead of defining four-manifold invariants by counting $SU(2)$…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

The physical particles in supersymmetric Yang-Mills theory (SYM) are bound states of gluons and gluinos. We have determined the masses of the lightest bound states in SU(3) $\mathcal{N}=1$ SYM. Our simulations cover a range of different…

High Energy Physics - Lattice · Physics 2019-06-12 Sajid Ali , Georg Bergner , Henning Gerber , Istvan Montvay , Gernot Münster , Stefano Piemonte , Philipp Scior

Domain walls in supersymmetric Yang-Mills are BPS configurations which preserve two supercharges of the parent theory and so their tensions are known exactly. On the other hand, they have been described as D-branes for the confining string.…

High Energy Physics - Theory · Physics 2009-11-11 Adi Armoni , Timothy J. Hollowood