Exact Mesonic Vacua From Matrix Models

TL;DR

This paper uses matrix models to analyze mesonic vacua in N=1 supersymmetric gauge theories, confirming the Witten index and exploring the quantum moduli space and Seiberg duality.

Contribution

It provides a detailed matrix model approach to derive mesonic vacua, quantum moduli space, and evidence for Seiberg duality in N=1 supersymmetric gauge theories.

Findings

Witten index from matrix models matches field theory results

Quantum moduli space derived from matrix models

Evidence of Seiberg duality obtained

Abstract

We investigate in detail the structure of mesonic vacua of N=1 U(Nc) supersymmetric gauge theory with Nf flavors from the matrix model. We show that the Witten index from the matrix model calculation agrees with a result from field theoretical analysis. We also discuss the relationship between a diagrammatic summation and direct matrix integration with insertion of a variable changing delta function. Using this formalism, we obtain the quantum moduli space and evidence of the Seiberg duality from the matrix models.