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Supersymmetric Yang-Mills quantum mechanics (SYMQM) results from the dimensional reduction of the Yang-Mills field theory in $D$ space-time dimensions to a single point in the $D-1$ dimensional space. It can be also viewed as the effective…

High Energy Physics - Lattice · Physics 2007-05-23 Jacek Wosiek , Massimo Campostrini

We extend the traditional formulation of Gauge Field Theory by incorporating the (non-Abelian) gauge group parameters (traditionally simple spectators) as new dynamical (nonlinear-sigma-model-type) fields. These new fields interact with the…

High Energy Physics - Theory · Physics 2014-11-18 V Aldaya , M Calixto , F F Lopez-Ruiz , E Sanchez-Sastre

We study Yang Mills theory in 2+1 dimensions, as an array of coupled (1+1)-dimensional principal chiral sigma models. This can be understood as an anisotropic limit where one of the space-time dimensions is discrete and the others are…

High Energy Physics - Theory · Physics 2014-09-10 Axel Cortés Cubero

A geometrization of the Yang-Mills field, by which an SU(2) gauge theory becomes equivalent to a 3-space geometry - or optical system - is examined. In a first step, ambient space remains Euclidean and current problems on flat space can be…

Mathematical Physics · Physics 2016-09-07 R. Aldrovandi , A. L. Barbosa

We study the giant graviton integrated correlator in SU$(N)$ $\mathcal{N}=4$ super Yang-Mills at finite complexified coupling $\tau$. Despite the formidable complexity arising from the heavy nature of the operators considered, the large-$N$…

High Energy Physics - Theory · Physics 2026-03-23 Augustus Brown , Daniele Dorigoni , Congkao Wen

In this paper, three things are done. First, we study from an algebraic point of view the infinite-dimensional BMS-like extensions of the Carroll algebra relevant to the asymptotic structure of the electric and magnetic Carrollian limits of…

High Energy Physics - Theory · Physics 2022-12-07 Oscar Fuentealba , Marc Henneaux , Patricio Salgado-Rebolledo , Jakob Salzer

The coupling of a dilaton to the $SU(2)$-Yang-Mills field leads to interesting non-perturbative static spherically symmetric solutions which are studied by mixed analitical and numerical methods. In the abelian sector of the theory there…

High Energy Physics - Theory · Physics 2010-11-19 Piotr Bizon

In the context of D-dimensional Euclidean gravity, we define the natural generalisation to D-dimensions of the self-dual Yang-Mills equations, as duality conditions on the curvature 2-form of a Riemannian manifold. Solutions to these…

High Energy Physics - Theory · Physics 2016-09-06 B. S. Acharya , M. O'Loughlin

We introduce a novel decomposition of the four dimensional SU(2) gauge field. This decomposition realizes explicitely a symmetry between electric and magnetic variables, suggesting a duality picture between the corresponding phases. It also…

High Energy Physics - Theory · Physics 2009-11-07 Ludvig Faddeev , Antti J. Niemi

We construct a variety of supersymmetric gauge theories on a spatial lattice, including N=4 supersymmetric Yang-Mills theory in 3+1 dimensions. Exact lattice supersymmetry greatly reduces or eliminates the need for fine tuning to arrive at…

High Energy Physics - Lattice · Physics 2009-11-07 David B. Kaplan , Emanuel Katz , Mithat Unsal

It is known that Yang-Mills theories on non-commutative space can be derived from large-N reduced models. Gauge fields in non-commutative Yang-Mills theories can be described as fluctuations of matrices expanded about an appropriate…

High Energy Physics - Theory · Physics 2008-11-26 Takeshi Morita

The thermodynamics of four-dimensional SU(2) N=2 super-Yang-Mills theory is examined in both high and low temperature regimes. At low temperatures, compelling evidence is found for two distinct equilibrium states related by a spontaneously…

High Energy Physics - Theory · Physics 2010-04-23 Steve Paik , Laurence G. Yaffe

We describe a simple method for determining the strong-coupling BPS spectrum of four dimensional N=2 supersymmetric Yang-Mills theory. The idea is to represent the magnetic monopoles and dyons in terms of D-brane boundary states of a…

High Energy Physics - Theory · Physics 2007-05-23 W. Lerche

Recent progress towards understanding a strong coupling expansion for various superconformal field theories in four dimensions is described. First, the case of the maximally supersymmetric Yang Mills theory is analyzed, as well as many…

High Energy Physics - Theory · Physics 2008-11-26 David Berenstein

It is argued that there are strong similarities between the infra-red physics of N=2 supersymmetric Yang-Mills and that of the quantum Hall effect, both systems exhibit a hierarchy of vacua with a sub-group of the modular group mapping…

High Energy Physics - Theory · Physics 2009-11-11 Brian P. Dolan

SU(N_c) Yang-Mills theory is investigated at finite densities of N_f heavy quark flavors. The calculation of the (continuum) quark determinant in the large-mass limit is performed by analytic methods and results in an effective gluonic…

High Energy Physics - Lattice · Physics 2009-10-31 Kurt Langfeld , Gwansoo Shin

We propose a novel type of duality that connects a sequence of well-known theories with even-multiplicity scalar amplitudes: it relates the Yang-Mills theory coupled to a specific scalar matter sector to the nonlinear sigma model on a…

High Energy Physics - Theory · Physics 2025-12-04 Tomas Brauner , Yang Li , Diederik Roest , Tianzhi Wang

In the present work we analyse $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills (SYM) theory in two dimensions by means of lattice simulations. The theory arises as dimensional reduction of $\mathcal{N}=1$ SYM theory in four dimensions. As in…

High Energy Physics - Lattice · Physics 2019-03-19 D. August , M. Steinhauser , B. H. Wellegehausen , A. Wipf

A recent paper proposes a way of constructing infinite dimensional symmetries of the non-supersymmetric self-dual Yang-Mills action using isometries of the space-time. We review the Lagrangian formulation of N = 4 super Yang-Mills MHV rules…

High Energy Physics - Theory · Physics 2009-12-10 Adam Wardlow

We analyze a recently proposed supersymmetry breaking mass deformation of the $E_1$ superconformal fixed point in five dimensions which, at weak gauge coupling, leads to pure $SU(2)$ Yang-Mills and which was conjectured to lead to an…

High Energy Physics - Theory · Physics 2021-11-17 Matteo Bertolini , Francesco Mignosa
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