Off-shell dimensional reduction of 5D orbifold supergravity

TL;DR

This paper develops a systematic method for deriving four-dimensional effective actions from five-dimensional orbifold supergravity, including models like heterotic M-theory and Randall-Sundrum, with insights into moduli stabilization.

Contribution

It introduces a systematic off-shell dimensional reduction approach for 5D orbifold supergravity, applicable to various gaugings and models, enhancing understanding of their vacuum structures.

Findings

Derived 4D effective theories from 5D supergravity models.

Analyzed moduli stabilization via perturbative superpotentials.

Unified description of heterotic M-theory and Randall-Sundrum models.

Abstract

We present a systematic way for deriving a four-dimensional (4D) effective action of the five-dimensional (5D) orbifold supergravity respecting the N=1 {\it off-shell} structure. As an illustrating example, we derive a 4D effective theory of the 5D gauged supergravity with a universal hypermultiplet and {\it generic} gaugings, which includes the 5D heterotic M-theory and the supersymmetric Randall-Sundrum model as special limits of the gauging parameters. We show the vacuum structure of such model, especially the nature of moduli stabilization, introducing perturbative superpotential terms at the orbifold fixed points.