On {\cal N}=1 exact superpotentials from U(N) matrix models

TL;DR

This paper calculates the exact superpotential for { m N}=1 U(N) supersymmetric gauge theories with flavors using matrix models, extending known results to more general superpotentials.

Contribution

It provides a novel computation of the exact superpotential for U(N) theories with arbitrary polynomial superpotentials, including flavors, using matrix model techniques.

Findings

Reproduces known results for SU(N) with even polynomial superpotentials.

Extends superpotential calculations to U(N) gauge theories with flavors.

Uses matrix model approach in the maximally confining phase.

Abstract

In this letter we compute the exact effective superpotential of {\cal N}=1 U(N) supersymmetric gauge theories with N_f fundamental flavors and an arbitrary tree-level polynomial superpotential for the adjoint Higgs field. We use the matrix model approach in the maximally confinig phase. When restricted to the case of a tree-level even polynomial superpotential, our computation reproduces the known result of the SU(N) theory.