Effective Superpotentials via Konishi Anomaly

TL;DR

This paper employs Ward identities from the generalized Konishi anomaly to compute effective superpotentials in various supersymmetric gauge theories, enabling easier evaluation of higher order corrections.

Contribution

It introduces a method using the Konishi anomaly to systematically compute effective superpotentials for different gauge groups and matter representations.

Findings

Effective superpotentials for SU(N), SO(N), and Sp(N) theories derived.

Higher order corrections to superpotentials can be efficiently calculated.

Technique simplifies the evaluation of complex quantum corrections.

Abstract

We use Ward identities derived from the generalized Konishi anomaly in order to compute effective superpotentials for SU(N), SO(N) and $Sp(N)$ supersymmetric gauge theories coupled to matter in various representations. In particular we focus on cubic and quartic tree level superpotentials. With this technique higher order corrections to the perturbative part of the effective superpotential can be easily evaluated.