Abstract
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.
Highlights
The studies done on closed strings in the presence of a constant two form field, and the gravitational action induced by the bosonic string theory on a space-filling D-brane with a constant magnetic field, have motivated a noncommutative deformation of field theories [1,2,3,4]
It may be noted that such deformation of supersymmetric field theories has been studied, and it has observed that the non-anticommutativity does break the supersymmetry from N = 2 supersymmetry to N = 1 supersymmetry [17,18]
We analyzed the quantization of this theory, and addressed the problem that occurs due to the Gribov ambiguity. This was done by generalizing the standard Faddeev–Popov method
Summary
The studies done on closed strings in the presence of a constant two form field, and the gravitational action induced by the bosonic string theory on a space-filling D-brane with a constant magnetic field, have motivated a noncommutative deformation of field theories [1,2,3,4]. It may be noted that such deformation of supersymmetric field theories has been studied, and it has observed that the non-anticommutativity does break the supersymmetry from N = 2 supersymmetry to N = 1 supersymmetry [17,18]. The Nicolai map has been used to address the Gribov ambiguity for usual gauge theories [32] In this analysis, the BRST symmetry of the gauge theory was extended to include an extended BRST symmetry. The BRST symmetry of the gauge theory was extended to include an extended BRST symmetry We will apply this formalism to three dimensional non-anticommutative Yang–Mills theory. This deformation will break the supersymmetry of the theory to N = 1 supersymmetry.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
