Effective Superpotentials for SO/Sp with Flavor from Matrix Models

TL;DR

This paper derives effective superpotentials for SO/Sp gauge theories with flavors using matrix models, providing exact solutions and connecting to Seiberg-Witten curves.

Contribution

It introduces a method to compute superpotentials for SO/Sp gauge theories with flavors, including exact solutions for quartic potentials and derivation of Seiberg-Witten curves.

Findings

Effective superpotentials up to first instanton level.

Exact one-cut solution for quartic superpotential.

Derivation of Seiberg-Witten curve from matrix models.

Abstract

We study matrix models related to $SO/Sp$ gauge theories with flavors. We give the effective superpotentials for gauge theories with arbitrary tree level superpotential up to first instanton level. For quartic tree level superpotential we obtained exact one-cut solution. We also derive Seiberg-Witten curve for these gauge theories from matrix model argument.