Supersymmetric SO(N_c) Gauge Theory and Matrix Model

TL;DR

This paper uses matrix models to analyze supersymmetric SO(N_c) gauge theories, reproducing effective superpotentials and confirming Seiberg duality through Dijkgraaf-Vafa methods.

Contribution

It applies the Dijkgraaf-Vafa matrix model approach to SO(N_c) gauge theories, demonstrating the equivalence of electric and magnetic descriptions via matrix integrals.

Findings

Reproduces exact effective superpotential for SO(N_c) gauge theories.

Shows matrix descriptions of electric and magnetic theories are identical.

Confirms Seiberg duality using matrix model techniques.

Abstract

By applying the method of Dijkgraaf-Vafa, we study matrix model related to supersymmetric SO(N_c) gauge theory with N_f flavors of quarks in the vector representation found by Intriligator-Seiberg. By performing the matrix integral over tree level superpotential characterized by light meson fields (mass deformation) in electric theory, we reproduce the exact effective superpotential in the gauge theory side. Moreover, we do similar analysis in magnetic theory. It turns out the matrix descriptions of both electric and magnetic theories are the same: Seiberg duality in the gauge theory side.