Moduli spaces of AdS_5 vacua in N=2 supergravity

TL;DR

This paper characterizes the conditions for maximally supersymmetric AdS_5 vacua in five-dimensional gauged N=2 supergravity, revealing the structure of the unbroken gauge group and scalar deformations.

Contribution

It provides a detailed analysis of the gauge group structure and scalar moduli space in AdS_5 vacua of N=2 supergravity, including the necessity of an U(1)_R factor.

Findings

Unbroken gauge group must include U(1)_R

Scalar deformations preserving supersymmetry form a Kahler submanifold

Conditions for maximally supersymmetric AdS_5 vacua established

Abstract

We determine the conditions for maximally supersymmetric AdS_5 vacua of five-dimensional gauged N=2 supergravity coupled to vector-, tensor- and hypermultiplets charged under an arbitrary gauge group. In particular, we show that the unbroken gauge group of the AdS_5 vacua has to contain an U(1)_R-factor. Moreover we prove that the scalar deformations which preserve all supercharges form a Kahler submanifold of the ambient quaternionic Kahler manifold spanned by the scalars in the hypermultiplets.