Supersymmetric AdS4 black holes from matter-coupled N=3,4 gauged supergravities

Parinya Karndumri

doi:10.1140/epjc/s10052-021-09757-7

paper

Supersymmetric AdS4 black holes from matter-coupled N=3,4 gauged supergravities

arXiv:2106.11275 · doi:10.1140/epjc/s10052-021-09757-7

Abstract

We study supersymmetric $A d S_{4}$ 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 $S O (3) \times S O (3)$ gauge group. The resulting gauged supergravity admits two $N = 3$ supersymmetric $A d S_{4}$ vacua with $S O (3) \times S O (3)$ and $S O (3)$ symmetries. We find an $A d S_{2} \times H^{2}$ solution with $S O (2) \times S O (2)$ symmetry and an analytic solution interpolating between this geometry and the $S O (3) \times S O (3)$ symmetric $A d S_{4}$ vacuum. For $N = 4$ gauged supergravity coupled to six vector multiplets with $S O (4) \times S O (4)$ gauge group, there exist four supersymmetric $A d S_{4}$ vacua with $S O (4) \times S O (4)$ , $S O (4) \times S O (3)$ , $S O (3) \times S O (4)$ and $S O (3) \times S O (3)$ symmetries. We find a number of $A d S_{2} \times S^{2}$ and $A d S_{2} \times H^{2}$ geometries together with the solutions interpolating between these geometries and all, but the $S O (3) \times S O (3)$ , $A d S_{4}$ vacua. These solutions provide a new class of $A d S_{4}$ 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.

49 pages, 7 figures, typos corrected

Supersymmetric AdS4 black holes from matter-coupled N=3,4 gauged supergravities

Abstract

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