Konishi Anomalies and N=1 Curves

TL;DR

This paper reviews exact non-perturbative superpotentials in N=1 supersymmetric gauge theories using Konishi anomaly equations, focusing on theories with classical gauge groups and chiral matter, and relates them to matrix models.

Contribution

It provides a unified approach to derive exact superpotentials for a broad class of theories via Konishi anomalies and matrix model techniques.

Findings

Derived explicit superpotential expressions for theories with classical gauge groups.

Established embedding of chiral theories into unitary gauge theories with adjoint matter.

Connected gauge theory results with matrix model free energy expansions.

Abstract

We present a brief summary of exact results on the non-perturbative effective superpotential of N=1 supersymmetric gauge theories based on generalized Konishi anomaly equations. In particular we consider theories with classical gauge groups and chiral matter in two-index tensor representations. All these theories can be embedded into theories with unitary gauge group and adjoint matter. This embedding can be used to derive expressions for the exact non-perturbative superpotential in terms of the 1/N expansion of the free energy of the related matrix models.