N=1 Superpotentials from Multi-Instanton Calculus

TL;DR

This paper uses multi-instanton calculus and localization techniques to compute condensates and chiral ring relations in N=1 supersymmetric gauge theories, providing new exact results and consistency checks.

Contribution

It introduces a novel application of multi-instanton calculus and localization to compute gaugino and scalar condensates in N=1 theories with and without massive matter.

Findings

Computed gaugino and scalar condensates using localization.

Derived chiral ring relations and verified with instanton calculations.

Confirmed consistency of theoretical predictions with multi-instanton results.

Abstract

In this paper we compute gaugino and scalar condensates in N=1 supersymmetric gauge theories with and without massive adjoint matter, using localization formulae over the multi--instanton moduli space. Furthermore we compute the chiral ring relations among the correlators of the $N=1^*$ theory and check this result against the multi-instanton computation finding agreement.