Adding flavor to Dijkgraaf-Vafa

TL;DR

This paper explores matrix models linked to supersymmetric gauge theories with matter, revealing phase transitions and extracting key physical quantities like the superpotential and Seiberg-Witten curve.

Contribution

It extends the Dijkgraaf-Vafa correspondence to include fundamental matter, analyzing phase transitions and deriving effective superpotentials from matrix models.

Findings

Matrix models exhibit a large-M phase transition with varying flavors.

Measure factors encode R-symmetry violation information.

Effective superpotential and Seiberg-Witten curve are derived from the matrix model.

Abstract

We study matrix models related via the correspondence of Dijkgraaf and Vafa to supersymmetric gauge theories with matter in the fundamental. As in flavorless examples, measure factors of the matrix integral reproduce information about R-symmetry violation in the field theory. The models, studied previously as models of open strings, exhibit a large-M phase transition as the number of flavors is varied. This is the matrix model's manifestation of the end of asymptotic freedom. Using the relation to a quiver gauge theory, we extract the effective glueball superpotential and Seiberg-Witten curve from the matrix model.