Thermodynamics of Near BPS Black Holes in AdS$_4$ and AdS$_7$

TL;DR

This paper explores the thermodynamics of near BPS black holes in AdS$_4$ and AdS$_7$, analyzing deformations and their relation to microscopic entropy calculations, thus extending understanding of black hole microstates.

Contribution

It introduces a detailed thermodynamic framework for near BPS black holes in AdS spaces, connecting microscopic entropy computations with boundary condition generalizations.

Findings

Microscopic calculations of BPS entropy are consistent with thermodynamic analysis.

Deformations orthogonal to the BPS surface significantly influence black hole thermodynamics.

Boundary conditions can be generalized to describe the near BPS regime effectively.

Abstract

We develop the thermodynamics of black holes in AdS$_4$ and AdS$_7$ near their BPS limit. In each setting we study the two distinct deformations orthogonal to the BPS surface as well as their nontrivial interplay with each other and with BPS properties. Our results illuminate recent microscopic calculations of the BPS entropy. We show that these microscopic computations can be leveraged to also describe the near BPS regime, by generalizing the boundary conditions imposed on states.