Generalized Faddeev–Popov method for a deformed supersymmetric Yang–Mills theory

In this paper, we will study the deformation of a three dimensional N=2 supersymmetry gauge theory. We will deform this theory by imposing non-anticommutativity. This will break the supersymmetry of the theory from N=2 supersymmetry to N=1 supersymmetry. We will address the problem that occurs in th...

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Main Authors: Paul Weinreb, Mir Faizal
Format: Article
Language:English
Published: Elsevier 2015-09-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269315004864
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author Paul Weinreb
Mir Faizal
author_facet Paul Weinreb
Mir Faizal
author_sort Paul Weinreb
collection DOAJ
description In this paper, we will study the deformation of a three dimensional N=2 supersymmetry gauge theory. We will deform this theory by imposing non-anticommutativity. This will break the supersymmetry of the theory from N=2 supersymmetry to N=1 supersymmetry. We will address the problem that occurs in the Landau gauge due to the existence of multiple solutions to the gauge fixing condition. This problem will be addressed using a formalism that has been motivated by topological field theories. Finally, we will study the extended BRST symmetry that occurs in this theory.
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spelling doaj.art-5a405929a69d49358129e8d42ea1ad1d2022-12-21T19:41:23ZengElsevierPhysics Letters B0370-26931873-24452015-09-01748C10210710.1016/j.physletb.2015.06.064Generalized Faddeev–Popov method for a deformed supersymmetric Yang–Mills theoryPaul Weinreb0Mir Faizal1Department of Mathematics King's College London, Strand, London WC2R 2LS, UKDepartment of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, CanadaIn this paper, we will study the deformation of a three dimensional N=2 supersymmetry gauge theory. We will deform this theory by imposing non-anticommutativity. This will break the supersymmetry of the theory from N=2 supersymmetry to N=1 supersymmetry. We will address the problem that occurs in the Landau gauge due to the existence of multiple solutions to the gauge fixing condition. This problem will be addressed using a formalism that has been motivated by topological field theories. Finally, we will study the extended BRST symmetry that occurs in this theory.http://www.sciencedirect.com/science/article/pii/S0370269315004864
spellingShingle Paul Weinreb
Mir Faizal
Generalized Faddeev–Popov method for a deformed supersymmetric Yang–Mills theory
Physics Letters B
title Generalized Faddeev–Popov method for a deformed supersymmetric Yang–Mills theory
title_full Generalized Faddeev–Popov method for a deformed supersymmetric Yang–Mills theory
title_fullStr Generalized Faddeev–Popov method for a deformed supersymmetric Yang–Mills theory
title_full_unstemmed Generalized Faddeev–Popov method for a deformed supersymmetric Yang–Mills theory
title_short Generalized Faddeev–Popov method for a deformed supersymmetric Yang–Mills theory
title_sort generalized faddeev popov method for a deformed supersymmetric yang mills theory
url http://www.sciencedirect.com/science/article/pii/S0370269315004864
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