Potentials and superpotentials in the effective N=1 supergravities from higher dimensions

TL;DR

This paper explores how N=1 superpotentials derived from higher-dimensional supergravities influence four-dimensional scalar potentials, revealing various supersymmetry-breaking scenarios and applications to Randall-Sundrum models.

Contribution

It provides a detailed analysis of the scalar potentials from N=1 superpotentials in extended supergravity, connecting higher-dimensional theories to 4D effective models with diverse phases.

Findings

Scalar potentials can describe different N=1 phases with broken or unbroken supersymmetry.

The analysis includes flat and curved backgrounds, as well as stabilized and sliding radii.

Application to the Randall-Sundrum model demonstrates the framework's relevance.

Abstract

We consider N=1 superpotentials corresponding to gaugings of an underlying extended supergravity for a chiral multiplet in the SU(1,1)/U(1) manifold of curvature 2/3. We analyze the resulting D=4 scalar potentials, and show that they can describe different N=1 phases of higher-dimensional supergravities, with broken or unbroken supersymmetry, flat or curved backgrounds, sliding or stabilized radius. As an application, we discuss the D=4 effective theory of the detuned supersymmetric Randall-Sundrum model in two different approximation schemes.