Non-extremal Charged Rotating Black Holes in Seven-Dimensional Gauged Supergravity

TL;DR

This paper derives non-extremal charged rotating black hole solutions in seven-dimensional gauged supergravity with equal rotation parameters, highlighting the role of odd-dimensional self-duality and exploring supersymmetric limits relevant for AdS_7/CFT_6.

Contribution

It presents the first explicit solutions for non-extremal charged rotating black holes in 7D gauged supergravity with equal rotation parameters, incorporating the novel role of self-duality equations.

Findings

Solutions include two independent charges and equal rotation parameters.

The self-duality equation influences the structure of the solutions.

BPS limit yields supersymmetric black hole configurations.

Abstract

We obtain the solution for non-extremal charged rotating black holes in seven-dimensional gauged supergravity, in the case where the three rotation parameters are set equal. There are two independent charges, corresponding to gauge fields in the U(1)xU(1) abelian subgroup of the SO(5) gauge group. A new feature in these solutions, not seen previously in lower-dimensional examples, is that the first-order "odd-dimensional self-duality" equation for the 4-form field strength plays a non-trivial role. We also study the BPS limit of our solutions where the black holes become supersymmetric. Our results are of significance for the AdS_7/CFT_6 correspondence in M-theory.