Potential and mass-matrix in gauged N=4 supergravity

TL;DR

This paper analyzes the scalar potential and mass matrix in gauged N=4 supergravity with six matter multiplets, exploring all semi-simple gauge groups and scalar dependencies, revealing unstable positive cosmological constant extrema.

Contribution

It extends previous work by considering all scalar dependencies and analyzing stability across all scalar fluctuations in gauged N=4 supergravity.

Findings

Identified extrema with positive cosmological constant

Found these extrema are unstable under scalar fluctuations

Analyzed all semi-simple gauge groups

Abstract

We discuss the potential and mass-matrix of gauged N=4 matter coupled supergravity for the case of six matter multiplets, extending previous work by considering the dependence on all scalars. We consider all semi-simple gauge groups and analyse the potential and its first and second derivatives in the origin of the scalar manifold. Although we find in a number of cases an extremum with a positive cosmological constant, these are not stable under fluctuations of all scalar fields.