Gravity Induced C-Deformation

TL;DR

This paper investigates how supergravity coupling affects N=1 supersymmetric gauge theories, revealing that gravity induces a deformation in the chiral ring, which can be analyzed through large N expansions and matrix models.

Contribution

It introduces a novel understanding of gravity-induced C-deformations in the chiral ring of supersymmetric gauge theories, extending previous concepts to include supergravity effects.

Findings

F-terms are computed via genus one non-planar diagrams.

Gravity induces a deformation of the chiral ring, generalizing C-deformation.

Supergravity Bianchi identities relate to the gravity-induced C-deformation.

Abstract

We study F-terms describing coupling of the supergravity to N=1 supersymmetric gauge theories which admit large N expansions. We show that these F-terms are given by summing over genus one non-planar diagrams of the large N expansion of the associated matrix model (or more generally bosonic gauge theory). The key ingredient in this derivation is the observation that the chiral ring of the gluino fields is deformed by the supergravity fields, generalizing the C-deformation which was recently introduced. The gravity induced part of the C-deformation can be derived from the Bianchi identities of the supergravity, but understanding gravitational corrections to the F-terms requires a non-traditional interpretation of these identities.