Konishi anomaly approach to gravitational F-terms

TL;DR

This paper investigates gravitational effects on the effective superpotential in supersymmetric gauge theories with a single adjoint, using Konishi anomaly and matrix model techniques, revealing genus zero and one corrections.

Contribution

It introduces a method to compute gravitational corrections to the superpotential using the generalized Konishi anomaly and chiral ring deformations, highlighting the role of non-factorization in supergravity backgrounds.

Findings

Genus one correction matches matrix model loop equations.

Genus zero correction can be eliminated by field redefinition.

Non-factorization of chiral operators is crucial in supergravity backgrounds.

Abstract

We study gravitational corrections to the effective superpotential in theories with a single adjoint chiral multiplet, using the generalized Konishi anomaly and the gravitationally deformed chiral ring. We show that the genus one correction to the loop equation in the corresponding matrix model agrees with the gravitational corrected anomaly equations in the gauge theory. An important ingrediant in the proof is the lack of factorization of chiral gauge invariant operators in presence of a supergravity background. We also find a genus zero gravitational correction to the superpotential, which can be removed by a field redefinition.