Thermodynamics of BPS and Near-BPS AdS6 Black Holes

TL;DR

This paper explores the thermodynamics and phase structure of BPS and near-BPS AdS6 black holes, extending entropy considerations from BPS to near-BPS regimes through an extremization principle.

Contribution

It introduces a framework for analyzing near-BPS black hole thermodynamics by extending BPS entropy functions to include temperature and charge deformations.

Findings

Extended BPS entropy function to near-BPS regime

Described phase diagram in grand canonical ensemble

Accounted for entropy and potential changes via extremization

Abstract

We develop the thermodynamics of BPS and near-BPS AdS6 black holes. We study the phase diagram of BPS black holes in the grand canonical ensemble. We highlight two distinct deformations orthogonal to the BPS surface: (i) increasing the temperature while keeping the charges fixed, (ii) changing the charges while maintaining extremality such that the BPS constraint is no longer satisfied. For both these deformations, we show that the considerations of the BPS entropy function can be extended to describe the near-BPS regime. The excess entropy together with changes in all potentials are perfectly accounted for via the extremization principle.