Abstract
We revisit the microscopic description of AdS3 black holes in light of recent progress on their higher dimensional analogues. The grand canonical partition function that follows from the AdS3/CFT2 correspondence describes BPS and nearBPS black hole thermodynamics. We formulate an entropy extremization principle that accounts for both the black hole entropy and a constraint on its charges, in close analogy with asymptotically AdS black holes in higher dimensions. We are led to interpret supersymmetric black holes as ensembles of BPS microstates satisfying a charge constraint that is not respected by individual states. This interpretation provides a microscopic understanding of the hitherto mysterious charge constraints satisfied by all BPS black holes in AdS. We also develop thermodynamics and a nAttractor mechanism of AdS3 black holes in the nearBPS regime.
Highlights
Supersymmetric black holes in AdS5 × S5, dual to 4D N = 4 super-Yang-Mills with SU(N ) gauge group, have entropy that scales as S ∼ N 2 [17,18,19,20,21,22,23]
We develop thermodynamics and a nAttractor mechanism of AdS3 black holes in the nearBPS regime
The necessity of angular momentum, the complexification of potentials, and the extra constraint are features of all BPS black holes that are asymptotically AdSd>3. They may give the impression that BPS black holes in higher dimensional AdS are fundamentally different from their asymptotically flat relatives which are closely related to the BTZ black holes in AdS3
Summary
We study the thermodynamics of BPS black holes in AdS3. The starting point is the high temperature partition function which we motivate from both sides of the. We show that the BPS limit imposes two conditions on the black hole parameters
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