Adding Fundamental Matter to ``Chiral Rings and Anomalies in Supersymmetric Gauge Theory''

TL;DR

This paper extends the Dijkgraaf-Vafa matrix model approach to a supersymmetric U(N) gauge theory with various matter representations, establishing the equivalence between gauge theory anomaly equations and matrix model loop equations.

Contribution

It demonstrates the correspondence between gauge theory anomalies and matrix model loop equations for a theory with fundamental matter, generalizing previous results.

Findings

Equivalence of gauge theory anomaly equations and matrix model loop equations.

Extension of the Dijkgraaf-Vafa framework to theories with fundamental matter.

Validation of the matrix model description for a broader class of supersymmetric gauge theories.

Abstract

We consider a supersymmetric U(N) gauge theory with matter fields in the adjoint, fundamental and anti-fundamental representations. As in the framework which was put forward by Dijkgraaf and Vafa, this theory can be described by a matrix model. We analyze this theory along the lines of [F. Cachazo, M. Douglas, N.S. and E. Witten, ``Chiral Rings and Anomalies in Supersymmetric Gauge Theory'' hep-th/0211170] and show the equivalence of the gauge theory and the matrix model. In particular, the anomaly equations in the gauge theory is identified with the loop equations in the matrix model.