Abstract
We study supersymmetric AdS_4 black holes in matter-coupled N=3 and N=4 gauged supergravities in four dimensions. In N=3 theory, we consider N=3 gauged supergravity coupled to three vector multiplets and SO(3)times SO(3) gauge group. The resulting gauged supergravity admits two N=3 supersymmetric AdS_4 vacua with SO(3)times SO(3) and SO(3) symmetries. We find an AdS_2times H^2 solution with SO(2)times SO(2) symmetry and an analytic solution interpolating between this geometry and the SO(3)times SO(3) symmetric AdS_4 vacuum. For N=4 gauged supergravity coupled to six vector multiplets with SO(4)times SO(4) gauge group, there exist four supersymmetric AdS_4 vacua with SO(4)times SO(4), SO(4)times SO(3), SO(3)times SO(4) and SO(3)times SO(3) symmetries. We find a number of AdS_2times S^2 and AdS_2times H^2 geometries together with the solutions interpolating between these geometries and all, but the SO(3)times SO(3), AdS_4 vacua. These solutions provide a new class of AdS_4 black holes with spherical and hyperbolic horizons dual to holographic RG flows across dimensions from N=3,4 SCFTs in three dimensions to superconformal quantum mechanics within the framework of four-dimensional gauged supergravity.
Highlights
String/M-theory has provided a number of insights to various aspects of quantum gravity for many decades
We look at the BPS equations for supersymmetric Ad S4 black holes with the near horizon geometry given by Ad S2 ×
We have studied a number of supersymmetric black hole solutions in asymptotically Ad S4 space from matter-coupled N = 3 and N = 4 gauged supergravities
Summary
String/M-theory has provided a number of insights to various aspects of quantum gravity for many decades. 2, we will review the structure of N = 3 gauged supergravity after translating the original construction in group manifold approach to the usual formulae in space-time This is followed by a general analysis of relevant BPS equations for finding supersymmetric Ad S4 black hole solutions. For N = 3 supersymmetry in four dimensions, there are two types of supermultiplets, the gravity and vector multiplets The former consists of the following component fields (eμa , ψμA, AμA, χ ). In the matter-coupled supergravity with n vector multiplets, there are 3n complex scalar fields ziA parametrizing the coset space SU (3, n)/SU (3) × SU (n) × U (1). These scalars are conveniently described by the coset representative L.
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