Near-horizon geometries of supersymmetric AdS(5) black holes

TL;DR

This work classifies the near-horizon geometries of supersymmetric, asymptotically $AdS_5$ black holes in five-dimensional $U(1)^3$ gauged supergravity under the assumption of two rotational symmetries. By solving the near-horizon BPS equations in the timelike class, the authors identify three regular horizon topologies: topologically spherical, $S^1 \times S^2$, and toroidal, corresponding to NH geometries that are, respectively, the NH limits of the known four-parameter KLR black holes, $AdS_3\times S^2$ with constant scalars, and $AdS_3\times T^2$ with constant scalars; the latter two exist only in specific regions of the moduli space and do not occur in minimal gauged supergravity. Additionally, they find a conical-singularity NH solution describing a three-charge SUSY black ring in equilibrium, whose IIB lift yields a discrete family of regular warped $AdS_3$ geometries, and they extend the analysis to $U(1)^n$ gauged supergravity. The results illuminate the richness of BPS near-horizon structures in AdS5 and provide a framework for exploring potential AdS5 black rings and their higher-dimensional uplifts.

Abstract

We provide a classification of near-horizon geometries of supersymmetric, asymptotically anti-de Sitter, black holes of five-dimensional U(1)^3-gauged supergravity which admit two rotational symmetries. We find three possibilities: a topologically spherical horizon, an S^1 \times S^2 horizon and a toroidal horizon. The near-horizon geometry of the topologically spherical case turns out to be that of the most general known supersymmetric, asymptotically anti-de Sitter, black hole of U(1)^3-gauged supergravity. The other two cases have constant scalars and only exist in particular regions of this moduli space -- in particular they do not exist within minimal gauged supergravity. We also find a solution corresponding to the near-horizon geometry of a three-charge supersymmetric black ring held in equilibrium by a conical singularity; when lifted to type IIB supergravity this solution can be made regular, resulting in a discrete family of warped AdS(3) geometries. Analogous results are presented in U(1)^n gauged supergravity.