Quantum modified moduli spaces and field dependent gauge couplings

TL;DR

This paper investigates quantum modified moduli spaces in supergravity with field-dependent gauge couplings, revealing that the only stable minimum occurs at zero coupling with unbroken supersymmetry, especially in models with simple superpotentials.

Contribution

It analyzes the impact of dynamical gauge couplings on quantum modified moduli spaces in supergravity, extending previous models to include field dependence and stability considerations.

Findings

Minimum of supergravity potential at zero coupling and unbroken supersymmetry.

Gauge coupling stabilization occurs only in supersymmetric ground states.

Field dependence of gauge couplings influences moduli space structure.

Abstract

In this paper we discuss quantum modified moduli spaces in supergravity. We examine a model suggested by Izawa and Yanagida and by Intriligator and Thomas that breaks global supersymmetry by a quantum deformation of the classical moduli space. We determine the minimum of the supergravity potential when the gauge coupling is taken to depend on a dynamical field, typically a modulus of string theory. We find that the only minimum is at the trivial configuration of vanishing coupling constant and unbroken supersymmetry. We also discuss models involving more complicated superpotentials and find that the gauge coupling is only stabilized in a supersymmetric ground state.