Maximally Supersymmetric AdS4 Vacua in N=4 Supergravity

TL;DR

This paper investigates fully supersymmetric AdS4 vacua in N=4 supergravity, revealing that such backgrounds require specific gauge group structures and are isolated points with no moduli.

Contribution

It demonstrates that maximally supersymmetric AdS4 vacua in N=4 supergravity are constrained to particular gauge groups and are isolated, with no continuous moduli.

Findings

Graviphotons form an electric and magnetic SO(3)_+ x SO(3)_- subgroup

Maximally supersymmetric AdS4 vacua are isolated in field space

Such vacua have no moduli

Abstract

We study AdS backgrounds of N=4 supergravity in four space-time dimensions which preserve all sixteen supercharges. We show that the graviphotons have to form a subgroup of the gauge group that consists of an electric and a magnetic SO(3)_+ x SO(3)_-. Moreover, these N=4 AdS backgrounds are necessarily isolated points in field space which have no moduli.