The Phase Diagram of BPS Black Holes in AdS$_5$

TL;DR

This paper explores the phase structure of BPS and non-BPS AdS$_5$ black holes, emphasizing rotation effects and BPS thermodynamics, revealing similarities and differences with non-supersymmetric cases.

Contribution

It systematically develops BPS thermodynamics for AdS$_5$ black holes and uncovers a key fugacity influencing BPS saturation beyond the supersymmetric index.

Findings

Identifies a fugacity that preserves BPS saturation but is not reflected in the index.

Shows similarities between BPS and non-BPS black hole phase diagrams.

Highlights differences in thermodynamic behavior related to rotation.

Abstract

Motivated by recent studies of supersymmetric black holes, we revisit the phase diagram of AdS black holes, whether BPS or not, with particular emphasis on the role of rotation. We develop BPS thermodynamics systematically and, in many explicit examples, we study its striking similarities with more familiar AdS black holes, as well as some differences. We highlight an important fugacity that preserves BPS saturation but is not captured by the supersymmetric index.