Five-Dimensional Gauge Theories and Unitary Matrix Models

TL;DR

This paper explores the connection between five-dimensional gauge theories compactified on a circle and their representation through unitary matrix models, extending matrix model techniques beyond four-dimensional supersymmetric theories.

Contribution

It introduces a framework linking 5D gauge theories to unitary matrix models, broadening the application of matrix model computations to higher-dimensional gauge theories.

Findings

Matrix models can describe 5D gauge theories compactified on a circle.

Effective superpotential terms are computable via matrix models in higher dimensions.

The approach extends matrix model techniques beyond traditional 4D supersymmetric theories.

Abstract

The matrix model computations of effective superpotential terms in N=1 supersymmetric gauge theories in four dimensions have been proposed to apply more generally to gauge theories in higher dimensions. We discuss aspects of five-dimensional gauge theory compactified on a circle, which leads to a unitary matrix model.