Moduli stabilization in 5D gauged supergravity with universal hypermultiplet and boundary superpotentials

TL;DR

This paper investigates moduli stabilization in a 4D effective theory derived from 5D gauged supergravity with a universal hypermultiplet, analyzing vacuum structures and uplifting mechanisms relevant to heterotic M-theory and Randall-Sundrum models.

Contribution

It provides a detailed analysis of moduli stabilization and vacuum structure in 5D gauged supergravity models with boundary superpotentials, including special limits like heterotic M-theory.

Findings

Identification of stable vacua with moduli stabilization

Analysis of supersymmetric AdS vacua and their uplift

Connection to heterotic M-theory and Randall-Sundrum models

Abstract

We study a four-dimensional effective theory of the five-dimensional (5D) gauged supergravity with a universal hypermultiplet and perturbative superpotential terms at the orbifold fixed points. Among eight independent isometries of the scalar manifold, we focus on three directions for gauging by the graviphoton. The class of models we consider includes the 5D heterotic M-theory and the supersymmetric Randall-Sundrum model as special limits of the gauging parameters. We analyze the vacuum structure of such models, especially the nature of moduli stabilization, from the viewpoint of the effective theory. We also discuss the uplifting of supersymmetric anti-de Sitter vacua.