On supermatrix models, Poisson geometry and noncommutative supersymmetric gauge theories

TL;DR

This paper introduces a simplified supermatrix model that provides a supersymmetric noncommutative regularisation of the UOSp(2|1) supersymmetric Schwinger model on the supersphere, utilizing Poisson geometry.

Contribution

It presents a novel, simpler supermatrix model for supersymmetric noncommutative regularisation, leveraging Poisson geometry for the first time in this context.

Findings

Constructed a new supermatrix model for the supersphere

Model is manifestly supersymmetric and simpler than existing models

Uses Poisson geometry as a key tool in the construction

Abstract

We construct a new supermatrix model which represents a manifestly supersymmetric noncommutative regularisation of the $UOSp(2\vert 1)$ supersymmetric Schwinger model on the supersphere. Our construction is much simpler than those already existing in the literature and it was found by using Poisson geometry in a substantial way.