Anomalies and nonperturbative results

TL;DR

This paper explores nonperturbative phenomena in supersymmetric theories, deriving anomaly relations, Picard-Fuchs equations, and exact superpotentials, advancing understanding of supersymmetric gauge theories.

Contribution

It provides new derivations of anomaly relations, the structure of Picard-Fuchs equations, and exact superpotentials in N=1 and N=2 supersymmetric theories.

Findings

Derived the structure of Picard-Fuchs equations for N=2 theories

Obtained the holomorphic superpotential with gluino condensate for N=1 theories

Linked perturbative and exact anomalies in supersymmetric models

Abstract

We investigate nonperturbative effects in N=1 and N=2 supersymmetric theories using a relation between perturbative and exact anomalies as a starting point. For N=2 supersymmetric SU(n) Yang-Mills theory we derive the general structure of the Picard-Fuchs equations; for N=1 supersymmetric Yang-Mills theories we find holomorphic part of the superpotential (with gluino condensate) exactly.