General Matter Coupled N=4 Gauged Supergravity in Five Dimensions

TL;DR

This paper develops the most general form of matter coupled N=4 gauged supergravity in five dimensions, analyzing the conditions for different ground states based on the gauge group structure.

Contribution

It provides a comprehensive construction of N=4 gauged supergravity in five dimensions, detailing the role of vector and tensor multiplets and the conditions for various ground states.

Findings

AdS ground states only with direct product gauge groups

Minkowski ground states possible in Abelian and semi-simple gaugings

Existence of Minkowski states proven in the compact Abelian case

Abstract

We construct the general form of matter coupled N=4 gauged supergravity in five dimensions. Depending on the structure of the gauge group, these theories are found to involve vector and/or tensor multiplets. When self-dual tensor fields are present, they must be charged under a one-dimensional Abelian group and cannot transform non-trivially under any other part of the gauge group. A short analysis of the possible ground states of the different types of theories is given. It is found that AdS ground states are only possible when the gauge group is a direct product of a one-dimensional Abelian group and a semi-simple group. In the purely Abelian, as well as in the purely semi-simple gauging, at most Minkowski ground states are possible. The existence of such Minkowski ground states could be proven in the compact Abelian case.