Near-horizon analysis of D=5 BPS black holes and rings

TL;DR

This paper uses near-horizon data to analyze BPS black holes and rings in five dimensions, deriving attractor equations and entropy, highlighting discrepancies with previous results especially for spinning and small black holes.

Contribution

It provides a near-horizon based derivation of attractor equations and entropy for 5D BPS black holes and rings, incorporating higher-derivative couplings and addressing previous inconsistencies.

Findings

Partial agreement with previous results for spinning black holes

Discrepancies for small and large spinning black holes explained by higher-derivative effects

Systematic form of higher-derivative contributions for black rings

Abstract

A comprehensive analysis is presented based exclusively on near-horizon data to determine the attractor equations and the entropy of BPS black holes and rings in five space-time dimensions, for a Lagrangian invariant under eight supersymmetries with higher-derivative couplings. For spinning black holes the results only partially agree with the results of previous work, where often additional input was used beyond the near-horizon behaviour. A number of discrepancies remains, for example, pertaining to small black holes and to large spinning black holes, which are related to the presence of the higher-derivative couplings. Arguments are presented to explain some of them. For the black rings, the analysis is intricate due to the presence of Chern-Simons terms and due to the fact that the gauge fields are not globally defined. The contributions from the higher-derivative couplings take a systematic form in line with expectations based on a variety of arguments.