Gravitational F-terms of N=1 Supersymmetric Gauge Theories

TL;DR

This paper computes exact gravitational F-terms in N=1 supersymmetric gauge theories using anomaly equations, comparing results across different models including a G2 gauge group and a dynamical supersymmetry-breaking model.

Contribution

It introduces a method to calculate gravitational F-terms in supersymmetric gauge theories using generalized anomaly equations, including non-perturbative effects and diagrammatic analysis.

Findings

Exact gravitational F-terms obtained for various models

Comparison with vector model results confirms consistency

Diagrammatic expansion elucidates G2 gauge theory structure

Abstract

We consider four-dimensional N=1 supersymmetric gauge theories in a supergravity background. We use generalized Konishi anomaly equations and R-symmetry anomaly to compute the exact perturbative and non-perturbative gravitational F-terms. We study two types of theories: The first model breaks supersymmetry dynamically, and the second is based on a $G_2$ gauge group. The results are compared with the corresponding vector models. We discuss the diagrammatic expansion of the $G_2$ theory.