Planar Gravitational Corrections For Supersymmetric Gauge Theories

TL;DR

This paper investigates how planar diagrams contribute to gravitational F-terms in N=1 supersymmetric gauge theories with large N, revealing a universal contribution at the superpotential extremum and clarifying their physical significance.

Contribution

It demonstrates that planar diagrams produce a universal gravitational contribution at the superpotential extremum, supporting previous conjectures and elucidating their physical interpretation.

Findings

Planar diagrams yield a universal contribution at the superpotential extremum.

Genus one contributions are the remaining terms after planar diagram effects.

Supports the conjecture that planar diagrams dominate gravitational F-terms in large N theories.

Abstract

In this paper we discuss the contribution of planar diagrams to gravitational F-terms for N=1 supersymmetric gauge theories admitting a large N description. We show how the planar diagrams lead to a universal contribution at the extremum of the glueball superpotential, leaving only the genus one contributions, as was previously conjectured. We also discuss the physical meaning of gravitational F-terms.