Moduli spaces of AdS_5 vacua in N=2 supergravity

Understand

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.