Konishi anomaly and N=1 effective superpotentials from matrix models

TL;DR

This paper explores how the Konishi anomaly constrains matrix model methods for calculating effective superpotentials in N=1 supersymmetric gauge theories, linking these constraints to deformed Virasoro algebra structures.

Contribution

It establishes a connection between the Konishi anomaly and the Virasoro $L_0$ constraints within the matrix model approach for N=1 SUSY gauge theories.

Findings

Konishi anomaly imposes specific restrictions on matrix model calculations.

Effective superpotentials are linked to anomaly deformed Virasoro constraints.

The approach clarifies the role of anomalies in supersymmetric gauge theories.

Abstract

We discuss the restrictions imposed by the Konishi anomaly on the matrix model approach to the calculation of the effective superpotentials in N=1 SUSY gauge theories with different matter content. It is shown that they correspond to the anomaly deformed Virasoro $L_0$ constraints .