Note on a fermionic solution of the matrix model and noncommutative superspace

TL;DR

This paper introduces a novel fermionic solution to a supersymmetric matrix model that realizes noncommutative superspace, bridging matrix models and noncommutative geometry.

Contribution

The authors provide the first explicit fermionic solution satisfying noncommutative superspace relations within a matrix model framework.

Findings

Solution satisfies supersymmetric algebra with noncommutative relations

Implementation of noncommutative superspace on matrix models

Advances understanding of noncommutative geometry in supersymmetric theories

Abstract

We present a new fermionic solution of the supersymmetric matrix model. The solution satisfies the commutation and anticommutation relations for noncommutative superspace. Therefore the solution can be considered as an implementation of noncommutative superspace on the matrix model.