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In this paper we will analyse a three dimensional super-Yang-Mills theory on a deformed superspace with boundaries. We show that it is possible to obtain an undeformed theory on the boundary if the bulk superspace is deformed by imposing a…

High Energy Physics - Theory · Physics 2015-06-11 Mir Faizal

In this short note we review the interpretation of the spectral action for the Yang-Mills system in noncommutative geometry as a higher-derivative gauge theory, adopting an asymptotic expansion in a cutoff parameter. We recall our previous…

High Energy Physics - Theory · Physics 2011-10-12 Walter D. van Suijlekom

We derive Yang-Mills vertex operators for (super)string theory whose BRST invariance requires only the free gauge-covariant field equation and no gauge condition. Standard conformal field theory methods yield the three-point vertices…

High Energy Physics - Theory · Physics 2010-04-05 Haidong Feng , Warren Siegel

We present a description of two dimensional Yang-Mills gauge theory on the plane and on compact surfaces, examining the topological, geometric and probabilistic aspects.

High Energy Physics - Theory · Physics 2007-07-30 Ambar N. Sengupta

An explicit canonical transformation is constructed to relate the physical subspace of Yang-Mills theory to the phase space of the ADM variables of general relativity. This maps 3+1 dimensional Yang-Mills theory to local evolution of…

High Energy Physics - Lattice · Physics 2009-10-31 Pushan Majumdar , H. S. Sharatchandra

The analysis of spontaneous gauge symmetry breaking of N=1 supersymmetric SU(N_c) Yang-Mills theory with matter is performed. The supersymmetric $R_\xi$-gauge is used and its non-local effects investigated. Superpropagators and vertices are…

High Energy Physics - Theory · Physics 2007-10-12 Jean-François Fortin

In this letter, we present a formal solution to the non-linear field equations of ten-dimensional super Yang--Mills theory. It is assembled from products of linearized superfields which have been introduced as multiparticle superfields in…

High Energy Physics - Theory · Physics 2015-09-22 Carlos R. Mafra , Oliver Schlotterer

The purpose of this work is to present a Non--Commutative Geometrical version of the Yang--Mills Theory and the Yang--Mills Scalar Matter Theory by constructing a concrete example using M. Durdevich's theory of quantum principal bundles.

Mathematical Physics · Physics 2021-12-02 Gustavo Amilcar Saldaña Moncada

We construct a new Yang-Mills 3D-solution on the space of negative scalar curvarure. We discuss a problem of non-abelian gauge symmetry is broken with the assumption that a scalar curvature of the domain is a negative small parameter. In…

Algebraic Topology · Mathematics 2024-01-24 Petr Akhmet'ev , Maxim Dvornikov

In this paper we study Open Wilson Lines (OWL's) in the context of two Supersymmetric Yang Mills theories. First we consider four dimensional N=2 Supersymmetric Yang Mills Theory with hypermultiplets transforming in the fundamental…

High Energy Physics - Theory · Physics 2011-04-05 Edward B. Baker

We perform the dual transformation of the Yang-Mills theory in d=3 dimensions using the Wilson action on the cubic lattice. The dual lattice is made of tetrahedra triangulating a 3-dimensional curved manifold but embedded into a flat…

High Energy Physics - Theory · Physics 2009-10-31 Dmitri Diakonov , Victor Petrov

We introduce a self-dual field strength which replaces the gauge field in spontaneously broken Yang-Mills theory, reformulating it as a Lorentz covariant non-linear sigma model. This dualized theory is in both a unitary and renormalizable…

High Energy Physics - Theory · Physics 2007-05-23 Gordon Chalmers , Warren Siegel

We apply the noncommutative fields method to the three-dimensional non-Abelian gauge theory. We find that, first, implementing the noncommutativity between the canonical momenta implies in generation of the non-Abelian Chern-Simons term,…

High Energy Physics - Theory · Physics 2008-05-09 J. R. Nascimento , A. Yu. Petrov , E. O. Silva

Quantum Yang-Mills theory and the Wilson loop can be rewritten identically in terms of local gauge-invariant variables being directly related to the metric of the dual space. In this formulation, one reveals a hidden high local symmetry of…

High Energy Physics - Theory · Physics 2017-08-23 Dmitri Diakonov

This paper focuses on a three-parameter deformation of N=4 Yang-Mills that breaks all the supersymmetry in the theory. We show that the resulting non-supersymmetric gauge theory is scale invariant, in the planar approximation, by proving…

High Energy Physics - Theory · Physics 2008-11-26 Sudarshan Ananth , Stefano Kovacs , Hidehiko Shimada

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 construct a massive non-abelian N= 1 SYM theory on R^3. This is achieved by using a non-local gauge and Poincare invariant mass term for gluons due to Nair. The underlying supersymmetry algebra is shown to be a non-central extension of…

High Energy Physics - Theory · Physics 2013-05-29 Abhishek Agarwal

We study four dimensional supersymmetric gauge theory on the noncommutative superspace, recently proposed by Seiberg. We construct the gauge-invariant action of N=1 super Yang-Mills theory with chiral and antichiral superfields, which has…

High Energy Physics - Theory · Physics 2010-04-05 Takeo Araki , Katsushi Ito , Akihisa Ohtsuka

We advocate and develop the use of the dreibein (and the metric) as prepotential for three-dimensional SO(3) Yang-Mills theory. Since the dreibein transforms homogeneously under gauge transformation, the metric is gauge invariant. For a…

High Energy Physics - Theory · Physics 2017-09-08 Indrajit Mitra , H. S. Sharatchandra

Generalized Yang-Mills theories are constructed, that can use fields other than vector as gauge fields. Their geometric interpretation is studied. An application to the Glashow-Weinberg-Salam model is briefly review, and some related…

High Energy Physics - Theory · Physics 2007-05-23 M. Chaves