General supersymmetric AdS5 black holes

TL;DR

The paper develops a systematic framework to construct and classify supersymmetric, asymptotically $AdS_5$ black holes in ${\cal N}=1$, five-dimensional gauged supergravity with abelian vector multiplets, including the ${\rm U}(1)^3$ case that uplifts to type-IIB on $AdS_5\times S^5$. It shows that maximally supersymmetric solutions in the gauged theory reduce to $AdS_5$ with vanishing gauge fields, while ungauged theories map to the minimal theory; for general supersymmetric solutions, the timelike class yields a Kähler base and a well-defined solution ansatz. The black hole solutions are derived from a concrete Kähler base, yielding charged AdS5 spacetimes with equal angular momenta and a horizon characterized by a squashed $S^3$, with precise mass, angular momentum, and charge relations and a BPS bound. Specializing to ${\rm U}(1)^3$, the authors obtain explicit harmonic-function solutions and a nontrivial horizon-regularity constraint, highlighting the connection to IIB uplifts and holographic dual CFT data.

Abstract

Supersymmetric, asymptotically AdS5, black hole solutions of five dimensional gauged supergravity coupled to arbitrarily many abelian vector multiplets are presented. The general nature of supersymmetric solutions of this theory is discussed. All maximally supersymmetric solutions of this theory (with or without gauging) are obtained.