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We introduce field theory techniques through which the deconfinement transition of four-dimensional Yang-Mills theory can be moved to a semi-classical domain where it becomes calculable using two-dimensional field theory. We achieve this…

High Energy Physics - Theory · Physics 2013-05-30 Dusan Simic , Mithat Unsal

We report on numerical simulations of one dimensional maximally supersymmetric SU(N) Yang-Mills theory, by using the lattice action with two exact supercharges. Based on the gauge/gravity duality, the gauge theory corresponds to N D0-branes…

High Energy Physics - Lattice · Physics 2012-12-21 Daisuke Kadoh , Syo Kamata

We obtain Yang-Mills $SU(2)\times G$ gauged supergravity in three dimensions from $SU(2)$ group manifold reduction of (1,0) six dimensional supergravity coupled to an anti-symmetric tensor multiplet and gauge vector multiplets in the…

High Energy Physics - Theory · Physics 2012-07-30 Edi Gava , Parinya Karndumri , K. S. Narain

An exact superpotential is derived for the N=1 theories which arise as massive deformations of N=4 supersymmetric Yang-Mills (SYM) theory. The superpotential of the SU(N) theory formulated on R^{3}\times S^{1} is shown to coincide with the…

High Energy Physics - Theory · Physics 2009-10-31 N. Dorey

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

Inspired by the ideas from topological field theory it is possible to rewrite the supersymmetric charges of certain classes of extended supersymmetric Yang--Mills (SYM) theories in such a way that they are compatible with the discretization…

High Energy Physics - Lattice · Physics 2011-12-30 Anosh Joseph

We construct a nonperturbative regularization for Euclidean noncommutative supersymmetric Yang-Mills theories with four (N= (2,2)), eight (N= (4,4)) and sixteen (N= (8,8)) supercharges in two dimensions. The construction relies on orbifolds…

High Energy Physics - Theory · Physics 2009-11-10 Mithat Unsal

The N=4 SuperYang--Mills theory is covariantly determined by a U(1) \times SU(2) \subset SL(2,R) \times SU(2) internal symmetry and two scalar and one vector BRST topological symmetry operators. This determines an off-shell closed sector of…

High Energy Physics - Theory · Physics 2009-11-11 Laurent Baulieu , Guillaume Bossard

We investigate the $(2+1)$-dimensional $q$-deformed $\mathrm{SU}(N)_k$ Yang-Mills theory in the lattice Hamiltonian formalism, which is characterized by three parameters: the number of colors $N$, the coupling constant $g$, and the level…

High Energy Physics - Lattice · Physics 2026-01-08 Tomoya Hayata , Yoshimasa Hidaka , Hiromasa Watanabe

We study the large N (planar) limit of pure SU(N) 2+1 dimensional Yang-Mills theory (YM_{2+1}) using a gauge-invariant matrix parameterization introduced by Karabali and Nair. This formulation crucially relies on the properties of local…

High Energy Physics - Theory · Physics 2007-05-23 Robert G. Leigh , Djordje Minic

Superstring theories in ten dimensions allow spacetime supersymmetry breaking at the string scale at the expense of controlled Minkowski backgrounds. The next-to-maximally symmetric backgrounds, found by Dudas and Mourad, involve a warped…

High Energy Physics - Theory · Physics 2022-10-26 Ivano Basile , Salvatore Raucci , Sylvain Thomée

We report on new results for the low lying spectrum of N=1 SUSY Yang-Mills Theory with SU(2) as the gauge group. Simulating on larger lattices at \kappa = 0.194 and \beta = 2.3, we slowly approach the supersymmetric limit at m_{gluino} = 0.

High Energy Physics - Lattice · Physics 2010-12-23 R. Peetz , F. Farchioni , C. Gebert , G. Münster

Gorsky et al. presented an explicit construction of Whitham deformations of the Seiberg-Witten curve for the $SU(N+1)$ $\calN = 2$ SUSY Yang-Mills theory. We extend their result to all classical gauge groups and some other cases such as the…

High Energy Physics - Theory · Physics 2016-12-28 Kanehisa Takasaki

Svetitsky and Yaffe have argued that -- if the deconfinement phase transition of a (d+1)-dimensional Yang-Mills theory with gauge group G is second order -- it should be in the universality class of a d-dimensional scalar model symmetric…

High Energy Physics - Lattice · Physics 2009-11-10 M. Pepe

We formulate ${\cal N}$=1 super Yang-Mills theory in 3+1 dimensions on a two dimensional transverse lattice using supersymmetric discrete light cone quantization in the large-$N_c$ limit. This formulation is free of fermion species…

High Energy Physics - Lattice · Physics 2009-11-10 Motomichi Harada , Stephen Pinsky

We construct a classical solution of an Einstein-Yang-Mills system with a fourth order term with respect to the field strength of the Yang-Mills field. The solution provides a spontaneous compactification proposed by Cremmer and Scherk;…

High Energy Physics - Theory · Physics 2008-11-26 Hironobu Kihara , Muneto Nitta

We study pure Yang--Mills theory on $\Sigma\times S^2$, where $\Sigma$ is a compact Riemann surface, and invariance is assumed under rotations of $S^2$. It is well known that the self-duality equations in this set-up reduce to vortex…

High Energy Physics - Theory · Physics 2011-05-02 Nicholas S. Manton , Norman A. Rink

We study ten-dimensional Einstein-Yang-Mills model with the space of extra dimensions being a non-symmetric homogeneous space with the invariant metric parametrized by two scales. Dimensional reduction of the model is carried out and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yu. A. Kubyshin , J. I. Perez Cadenas

We study $SU(N)$ super Yang-Mills theory with a small gaugino mass $m$ and vacuum angle $\theta$ on the four-torus $\mathbb{T}^4$ with 't Hooft twisted boundary conditions. Introducing a detuning parameter $\Delta$, which measures the…

High Energy Physics - Theory · Physics 2025-10-24 Mohamed M. Anber , Erich Poppitz

Using U-duality, the properties of the matrix theories corresponding to the compactification of M-theory on $T^d$ are investigated. The couplings of the $d+1$ dimensional effective Super-Yang-Mills theory to all the M-theory moduli is…

High Energy Physics - Theory · Physics 2010-02-03 C. M. Hull