Equal charge black holes and seven dimensional gauged supergravity

TL;DR

The paper constructs a new seven-dimensional gauged supergravity black hole with three independent angular momenta and two equal U(1) charges, and analyzes its thermodynamics and BPS limit, showing rotating supersymmetric solutions without naked CTCs and smooth supersymmetric topological solitons. It also surveys equal-charge black holes across dimensions by truncating toroidally compactified heterotic and gauged supergravities to Cartan subgroups, providing explicit forms in four and five dimensions as stepping stones. The work highlights structural parallels across dimensions and offers a pathway toward general black holes with arbitrary angular momenta and charges, with implications for AdS/CFT correspondences and holographic thermodynamics. Notably, the BPS analysis yields a precise relation $E + g extstyle\sum_i J_i - Q = 0$ and a specific charged parameter $q$ that ensure regularity and supersymmetry, while the existence of topological solitons broadens the landscape of smooth, SUSY configurations in seven dimensions.

Abstract

We present various supergravity black holes of different dimensions with some U(1) charges set equal in a simple, common form. Black hole solutions of seven dimensional U(1)^2 gauged supergravity with three independent angular momenta and two equal U(1) charges are obtained. We investigate the thermodynamics and the BPS limit of this solution, and find that there are rotating supersymmetric black holes without naked closed timelike curves. There are also supersymmetric topological soliton solutions without naked closed timelike curves that have a smooth geometry.