Notes on noncommutative supersymmetric gauge theory on the fuzzy supersphere
Badis Ydri
TL;DR
This paper reviews Klimcik's noncommutative gauge theory on the fuzzy supersphere, highlighting its exact SUSY symmetry and finite degrees of freedom, and introduces a new fuzzy supersymmetric scalar action.
Contribution
It provides a comprehensive review of noncommutative gauge theory on the fuzzy supersphere and proposes a novel fuzzy supersymmetric scalar action.
Findings
Exact SUSY gauge symmetry with finite degrees of freedom
Potential for matrix model and Monte Carlo simulations
Introduction of a new fuzzy supersymmetric scalar action
Abstract
In these notes we review Klimcik's construction of noncommutative gauge theory on the fuzzy supersphere. This theory has an exact SUSY gauge symmetry with a finite number of degrees of freedom and thus in principle it is amenable to the methods of matrix models and Monte Carlo numerical simulations. We also write down in this article a novel fuzzy supersymmetric scalar action on the fuzzy supersphere.
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