Unitary Matrix Model of a Chiral [SU(N)]^K Gauge Theory

TL;DR

This paper constructs a matrix model for a chiral [SU(N)]^K gauge theory derived from 5D SQCD, verifying duality through loop equations and deriving the effective superpotential from free energy calculations.

Contribution

It introduces a novel matrix model approach for chiral gauge theories and confirms duality by matching loop equations with anomaly equations.

Findings

Verified duality via loop and anomaly equation matching

Derived effective superpotential from matrix model free energy

Provided a new matrix model framework for chiral gauge theories

Abstract

We build a matrix model of a chiral [SU(N)]^K gauge theory (5D SQCD deconstructed down to 4D) using random unitary matrices to model chiral bifundamental fields (N,N-bar) (without (N-bar,N)). We verify the duality by matching the loop equation of the matrix model to the anomaly equations of the gauge theory. Then we evaluate the matrix model's free energy and use it to derive the effective superpotential for the gaugino condensates.