Supersymmetric AdS5 black holes

TL;DR

This paper delivers the first explicit examples of supersymmetric, asymptotically $AdS_5$ black holes in minimal gauged supergravity, revealing a one-parameter family with equal angular momenta and a rich set of near-horizon geometries based on Nil, $SL(2, ext{R})$, and $SU(2)$ bases. By employing a Tod-inspired classification, Gaussian null horizon analysis, and a Bergmann-base ansatz, the authors derive the full black-hole solutions, compute their conserved charges, and verify a BPS bound. The solution features a squashed $S^3$ horizon, an $AdS_5$ asymptotic region, and a rotating boundary; its interior contains a curvature singularity and regions of closed timelike curves, though a co-rotating frame eliminates the ergoregion outside the horizon. In the large-black-hole limit, a group contraction to Nil reproduces a related near-horizon geometry, highlighting connections between horizon topology and asymptotic structure. These results provide a concrete framework for exploring AdS/CFT in higher dimensions and point to future generalizations with more charges and non-extremal cases.

Abstract

The first examples of supersymmetric, asymptotically AdS5, black hole solutions are presented. They form a 1-parameter family of solutions of minimal five-dimensional gauged supergravity. Their angular momentum can never vanish. The solutions are obtained by a systematic analysis of supersymmetric solutions with Killing horizons. Other new examples of such solutions are obtained. These include solutions for which the horizon is a homogeneous Nil or SL(2,R) manifold.