Generalized Konishi anomaly, Seiberg duality and singular effective superpotentials

TL;DR

This paper investigates the effective superpotential of N=1 supersymmetric SU(n) gauge theory with fundamental flavors using the generalized Konishi anomaly, revealing integrability issues that imply non-perturbative corrections.

Contribution

It demonstrates that the GKA equations are integrable only in the Seiberg dual description, highlighting the need for non-perturbative corrections in the direct theory.

Findings

GKA equations are integrable in Seiberg dual description

Failure of integrability in the direct description

Indication of non-perturbative corrections to GKA equations

Abstract

Using the generalized Konishi anomaly (GKA) equations, we derive the effective superpotential of four-dimensional N=1 supersymmetric SU(n) gauge theory with n+2 fundamental flavors. We find, however, that the GKA equations are only integrable in the Seiberg dual description of the theory, but not in the direct description of the theory. The failure of integrability in the direct, strongly coupled, description suggests the existence of non-perturbative corrections to the GKA equations.