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The supercurrent components of the N=1, D=4 Super-Yang-Mills theory in the Wess-Zumino gauge are coupled to the components of a background supergravitation field in the ``new minimal'' representation, in order to describe the various…

High Energy Physics - Theory · Physics 2010-02-03 Olivier Piguet , Sylvain Wolf

We prove the existence of dark monopole solutions in a recently formulated Yang--Mills--Higgs theory model with technical features similar to the classical monopole problems. The solutions are obtained as energy-minimizing static…

Mathematical Physics · Physics 2019-12-11 Xiangqin Zhang , Yisong Yang

A gauge-invariant saddle point expansion for the Yang-Mills vacuum transition amplitude on the basis of the squeezed approximation to the vacuum wave functional is outlined. This framework allows the identification of gauge-invariant…

High Energy Physics - Theory · Physics 2008-11-26 Hilmar Forkel

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 consider duality transformations in N=2 Yang--Mills theory coupled to N=2 supergravity, in a manifestly symplectic and coordinate covariant setting. We give the essential of the geometrical framework which allows one to discuss stringy…

High Energy Physics - Theory · Physics 2008-02-03 A. Ceresole , R. D'Auria , S. Ferrara , A. Van Proeyen

We define a natural generalized symmetry of the Yang-Mills equations as an infinitesimal transformation of the Yang-Mills field, built in a local, gauge invariant, and Poincar\'e invariant fashion from the Yang-Mills field strength and its…

High Energy Physics - Theory · Physics 2009-10-28 C. G. Torre

We present an explicit formulation of supersymmetric Yang-Mills theories from $\D=$ 5 to 10 dimensions in the familiar $\N=1,\D=4$ superspace. This provides the rules for globally supersymmetric model building with extra dimensions and in…

High Energy Physics - Theory · Physics 2009-11-07 Nima Arkani-Hamed , Thomas Gregoire , Jay Wacker

Self-duality is a very important concept in the study and applications of topological solitons in many areas of Physics. The rich mathematical structures underlying it lead, in many cases, to the development of exact and non-perturbative…

High Energy Physics - Theory · Physics 2021-12-01 L. A. Ferreira , H. Malavazzi

By studying an effective action description of the coupling of charged gauge fields in N=2 SU(n) supersymmetric Yang-Mills theories, we can describe regions of moduli space where one or more of these fields becomes unphysical. We discuss…

High Energy Physics - Theory · Physics 2009-10-28 Amit Giveon , Martin Roček

New collective coordinates, related to the field at the `center' of the monopoles, are proposed. A systematic computation of the infrared properties of 2+1- and 3+1- dimensional Yang-Mills theory is now possible and is related to solutions…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. S. Sharatchandra

The self-duality Yang-Mills equations in pseudoeuclidean spaces of dimensions $d\leq 8$ are investigated. New classes of solutions of the equations are found. Extended solutions to the D=10, N=1 supergravity and super Yang-Mills equations…

High Energy Physics - Theory · Physics 2008-11-26 E. K. Loginov

Division algebras are used to explain the existence and symmetries of various sets of auxiliary fields for super Yang-Mills in dimensions $d=3,4,6,10$. (Contribution to G\"ursey Memorial Conference I: Strings and Symmetries)

High Energy Physics - Theory · Physics 2015-06-26 Jonathan M. Evans

In this note, we describe supersymmetric backgrounds for the four-dimensional maximally supersymmetric Yang-Mills theory. As an extension of the method of Festuccia and Seiberg to sixteen supercharges in four dimensions, we utilize the…

High Energy Physics - Theory · Physics 2017-03-08 Travis Maxfield

We study the all-order restoration of the Slavnov-Taylor (ST) identities for Yang-Mills theory with massive fermions in the presence of singlet axial-vector currents. By making use of the ST parameterization of the symmetric quantum…

High Energy Physics - Theory · Physics 2009-11-11 Andrea Quadri

The extended BRST cohomology of N=2 super Yang-Mills theory is discussed in the framework of Algebraic Renormalization. In particular, N=2 supersymmetric descent equations are derived from the cohomological analysis of linearized…

High Energy Physics - Theory · Physics 2009-11-10 K. Ulker

D4 N=1 SYM with an arbitrary chiral background superfield as the gauge coupling is considered. The solution to Slavnov-Taylor identities has been given. It has been shown that the solution is unique and allows us to restrict the gauge part…

High Energy Physics - Theory · Physics 2009-10-31 Igor Kondrashuk

We revisit the duality between five-dimensional supersymmetric gauge theories and deformations of two-dimensional Yang-Mills theory from a new perspective. We give a unified treatment of supersymmetric gauge theories in three and five…

High Energy Physics - Theory · Physics 2020-06-11 Leonardo Santilli , Richard J. Szabo , Miguel Tierz

The extended Yang-Mills gauge theory in Euclidean space is a renormalizable (by power counting) gauge theory describing a local interacting theory of scalar, vector, and tensor gauge fields (with maximum spin 2). In this article we study…

High Energy Physics - Theory · Physics 2011-07-19 E. Gabrielli

We give a new way of looking at the Cho--Faddeev--Niemi (CFN) decomposition of the Yang-Mills theory to answer how the enlarged local gauge symmetry respected by the CFN variables is restricted to obtain another Yang-Mills theory with the…

High Energy Physics - Theory · Physics 2009-11-11 K. -I. Kondo , T. Murakami , T. Shinohara

The well-known Yang-Mills theory with one $ S^{1} / Z_{2}$ universal extra dimension (UED) is generalized to an arbitrary number of spatial extra dimensions through a novel compactification scheme. In this paper, the Riemannian flat based…

High Energy Physics - Theory · Physics 2015-02-04 M. A. López-Osorio , E. Martínez-Pascual , H. Novales-Sánchez , J. J. Toscano