Abstract
We develop the thermodynamics of black holes in AdS4 and AdS7 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.
Highlights
In this paper we study nearly supersymmetric black holes in AdS
We develop the thermodynamics of black holes in AdS4 and AdS7 near their BPS limit
Experience with asymptotically flat black holes suggests that small deformations away from the BPS limit are under good control
Summary
Given the central importance of supersymmetry in most current work in the area we address, before getting to further details, how any progress can be made at all. In this situation a combination of anomaly arguments and modular invariance ensures agreements at leading and subleading order, even when supersymmetry is broken [12, 13] This success is not a feature of AdS3 alone, the entropy of extremal but non-BPS black holes can be accounted for correctly even at four-derivative level, as shown by application of the entropy extremization formalism in AdS2 [14]. The low energy effective theory is usefully summarized as a theory of Schwarzian type, characterized by one or more dimensionful coupling constants These coefficients are response parameters such as the specific heat of the black hole. One goal of this article is to do so explicitly
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