Abstract
Abstract We study supersymmetric black holes in AdS 4 in the framework of four dimensional gauged $ \mathcal{N}=2 $ supergravity coupled to hypermultiplets. We derive the flow equations for a general electrically gauged theory where the gauge group is Abelian and, restricting them to the fixed points, we derive the gauged supergravity analogue of the attractor equations for theories coupled to hypermultiplets. The particular models we analyze are consistent truncations of M-theory on certain Sasaki-Einstein seven-manifolds. We study the space of horizon solutions of the form AdS 2 × Σ g with both electric and magnetic charges and find a four-dimensional solution space when the theory arises from a reduction on Q 111. For other SE 7 reductions, the solutions space is a subspace of this. We construct explicit examples of spherically symmetric black holes numerically.
Highlights
Supersymmetric, asymptotically AdS4 black holes1 with regular spherical horizons have recently been discovered in N = 2 gauged supergravities with vector multiplets [1]
We study supersymmetric black holes in AdS4 in the framework of four dimensional gauged N = 2 supergravity coupled to hypermultiplets
We study the space of horizon solutions of the form AdS2 × Σg with both electric and magnetic charges and find a four-dimensional solution space when the theory arises from a reduction on Q111
Summary
Supersymmetric, asymptotically AdS4 black holes with regular spherical horizons have recently been discovered in N = 2 gauged supergravities with vector multiplets [1]. These solutions have been further studied in [2, 3]. AdS4 black holes with more general transverse space can be found in [28] and [29] where the solutions were studied directly in M-theory These include the M-theory lift of the solutions we give in sections 4.2.1 and 5.1. The BPS black holes we construct in this paper are asymptotically AdS4 and as such they are states in particular (deformed) three-dimensional superconformal field theories on S2 × R. In this sense we believe it to be representative of the full solution space in Q111
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