Precision Entropy of Spinning Black Holes

TL;DR

This paper constructs five-dimensional spinning black hole solutions incorporating Chern-Simons terms, explores their entropy, tests conjectures linking 5D and 4D black holes, and computes entropy corrections for black rings.

Contribution

It introduces explicit 5D spinning black hole solutions with supersymmetric Chern-Simons terms and analyzes their entropy and relations to 4D black holes and topological strings.

Findings

Charge shifts are necessary for 5D-4D black hole relations.

Explicit entropy formulas for 5D black holes and rings.

Corrections to black ring entropy from near horizon data.

Abstract

We construct spinning black hole solutions in five dimensions that take into account the mixed gauge-gravitational Chern-Simons term and its supersymmetric completion. The resulting entropy formula is discussed from several points of view. We include a Taub-NUT base space in order to test recent conjectures relating 5D black holes to 4D black holes and the topological string. Our explicit results show that certain charge shifts have to be taken into account for these relations to hold. We also compute corrections to the entropy of black rings in terms of near horizon data.