Super Yang-Mills With Flavors From Large N_f Matrix Models

TL;DR

This paper derives the exact superpotential for N=1 super Yang-Mills with many flavors using a large N_f matrix model approach, extending the Dijkgraaf-Vafa proposal to include flavors and arbitrary Higgs superpotentials.

Contribution

It introduces a novel large N_f matrix model framework for calculating superpotentials in flavored super Yang-Mills theories, generalizing previous methods.

Findings

Derived the superpotential for theories with many flavors.

Extended matrix model techniques to include arbitrary Higgs superpotentials.

Demonstrated the use of 2-matrix ADE type models in this context.

Abstract

We consider the exact effective superpotential of N=1 U(N_c) super Yang-Mills theory with N_f massive flavors an additional adjoint Higgs field. We use the proposal of Dijkgraaf and Vafa to calculate the superpotential in terms of a matrix model with a large number of flavors. We do this by gauging the flavor symmetry and forcing this sector in a classical vacuum. This gives rise to a 2-matrix model of ADE type A_2, and large flavors. This approach allows us to add an arbitrary polynomial tree level superpotential for the Higgs field, and use strict large N methods in the matrix model.