Four-dimensional N=1 super Yang-Mills from matrix model

TL;DR

This paper constructs a four-dimensional N=1 super Yang-Mills theory from a supersymmetric matrix quantum mechanics, providing a nonperturbative formulation and utilizing Eguchi-Kawai equivalence to connect lower-dimensional models to higher-dimensional gauge theories.

Contribution

It introduces a novel matrix model that enables the construction and nonperturbative study of 4d N=1 super Yang-Mills theory.

Findings

Constructs 4d N=1 super Yang-Mills from matrix quantum mechanics.

Provides a nonperturbative formulation on noncommutative space.

Uses Eguchi-Kawai equivalence to connect models.

Abstract

We consider a supersymmetric matrix quantum mechanics. This is obtained by adding Myers and mass terms to the dimensional reduction of 4d N=1 super Yang-Mills theory to one dimension. Using this model we construct 4d N=1 super Yang-Mills theory in the planar limit by using the Eguchi-Kawai equivalence. The same matrix quantum mechanics is also used to provide a nonperturbative formulation of 4d N=1 super Yang-Mills theory on noncommutative space.