Charged rotating black holes in six-dimensional gauged supergravity

TL;DR

This work constructs the first non-extremal charged rotating AdS black holes in six-dimensional $SU(2)$ gauged supergravity with two independent angular momenta and one $U(1)$ charge, providing an explicit metric and gauge fields. The authors analyze the thermodynamics, establish a consistent first law, and identify supersymmetric (BPS) configurations that avoid naked closed timelike curves, thereby presenting the first known supersymmetric AdS$_6$ black holes. They demonstrate a separability structure via two rank-2 conformal Killing–Stäckel tensors, enabling Hamilton–Jacobi and Klein–Gordon separability in both the physical and conformally related metrics. The results extend the catalog of AdS black holes to $D=6$ with maximal independent charges and angular momenta, offering a concrete AdS$_6$/CFT$_5$ background for holographic studies and guiding extensions to other dimensions.

Abstract

We obtain non-extremal charged rotating black holes in six-dimensional SU(2) gauged supergravity with two independent angular momenta and one U(1) charge. These include supersymmetric black holes without naked closed timelike curves.