Regularization of 2d supersymmetric Yang-Mills theory via non commutative geometry

TL;DR

This paper explores using non-commutative geometry to regularize 2D supersymmetric Yang-Mills theories, aiming to preserve symmetries and extend previous models to more general gauge groups.

Contribution

It generalizes earlier work on supersymmetric models on superspheres to broader gauge groups using non-commutative geometry for regularization.

Findings

Non-commutative geometry can effectively regularize supersymmetric gauge theories.

Symmetry preservation is achievable through non-commutative regularization.

Extension of regularization techniques to more general gauge groups.

Abstract

The non commutative geometry is a possible framework to regularize Quantum Field Theory in a nonperturbative way. This idea is an extension of the lattice approximation by non commutativity that allows to preserve symmetries. The supersymmetric version is also studied and more precisely in the case of the Schwinger model on supersphere [14]. This paper is a generalization of this latter work to more general gauge groups.