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Moduli spaces of AdS 5 vacua in N $$ \mathcal{N} $$ = 2 supergravity

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Abstract

We determine the conditions for maximally supersymmetric AdS5 vacua of five-dimensional gauged \( \mathcal{N} \) = 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 AdS5 vacua has to contain an U(1)R-factor. Moreover we prove that the scalar deformations which preserve all supercharges form a Kähler submanifold of the ambient quaternionic Kähler manifold spanned by the scalars in the hypermultiplets.


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