Black Hole Statistics from Holography

Abstract

We study the microstates of the ``small'' black hole in the $\half$-BPS sector of AdS${}_5\times S^5$, the superstar of Myers and Tafjord, using the powerful holographic description provided by LLM. The system demonstrates the inherently statistical nature of black holes, with the geometry of Myer and Tafjord emerging only after averaging over an ensemble of geometries. The individual microstate geometries differ in the highly non-trivial topology of a quantum foam at their core, and the entropy can be understood as a partition of $N$ units of flux among 5-cycles, as required by flux quantization. While the system offers confirmation of the most controversial aspect of Mathur and Lunin's recent ``fuzzball'' proposal, we see signs of a discrepancy in interpreting its details.

21 pages, 4 figures; References added

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Cited by in corpus (20)

• Fivebranes from gauge theory
• The Library of Babel: On the origin of gravitational thermodynamics
• Instability of non-supersymmetric smooth geometries
• Massless black holes and black rings as effective geometries of the D1-D5 system
• Entropy of near-extremal black holes in AdS_5
• Rational foundation of GR in terms of statistical mechanic in the AdS/CFT framework
• Extended Fermion Representation of Multi-Charge 1/2-BPS Operators in AdS/CFT -- Towards Field Theory of D-Branes --
• The Gravitational Description of Coarse Grained Microstates
• From Gravitons to Giants
• A Monte-Carlo study of the AdS/CFT correspondence: an exploration of quantum gravity effects
• What is the dual of a dipole?
• On Classification Of The Bubbling Geometries
• Microstate Dependence of Scattering from the D1-D5 System
• Bubbling AdS and Vacuum String Field Theory
• Coarse-Graining the Lin-Maldacena Geometries
• Half-BPS Geometries and Thermodynamics of Free Fermions
• Accelerating universe emergent from the landscape
• Holographic entanglement entropy beyond coherent states
• Coarse-graining of bubbling geometries and the fuzzball conjecture
• A Universal Behavior of Half BPS Probes in the Superstar Ensemble