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This paper addresses a long standing problem, the counting of the microstates of supersymmetric asymptotically AdS black holes in terms of a holographically dual field theory. We focus on a class of asymptotically AdS$_4$ static black holes…

High Energy Physics - Theory · Physics 2016-05-17 Francesco Benini , Kiril Hristov , Alberto Zaffaroni

To ask a question about a black hole in quantum gravity, one must restrict initial or boundary data to ensure that a black hole is actually present. For two-dimensional dilaton gravity, and probably a much wider class of theories as well,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 S. Carlip

Classical and quantum entropic properties of holographic dark energy (HDE) are considered in view of the fact that its entropy is far more restrictive than the entropy of a black hole of the same size. In cosmological settings (in which HDE…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. Horvat

We present a coherent picture of the quantum mechanics of black holes. The picture does not require the introduction of any drastically new physical effect beyond what is already known; it arises mostly from synthesizing and…

High Energy Physics - Theory · Physics 2015-06-19 Yasunori Nomura , Sean J. Weinberg

We elucidate a holographic relationship between the enumerative geometry of the Hilbert scheme of $N$ points in the plane $\mathbb{C}^2$, with $N$ large, and the entropy of certain magnetically charged black holes with $\text{AdS}_4$…

High Energy Physics - Theory · Physics 2025-10-10 Samuel Crew , Daniel Zhang , Ziruo Zhang

Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-Hawking (black hole) entropy, which relates the entropy to the cross-sectional area of the black hole horizon. Using generalized…

General Relativity and Quantum Cosmology · Physics 2015-03-30 Abdel Nasser Tawfik , Eiman Abou El Dahab

Logarithmic corrections to the extremal black hole entropy can be computed purely in terms of the low energy data -- the spectrum of massless fields and their interaction. The demand of reproducing these corrections provides a strong…

High Energy Physics - Theory · Physics 2015-05-30 Ashoke Sen

We compute logarithmic corrections to entropy for black holes with hyperbolic horizon. For this purpose, we introduce the topological black hole and MTZ black holes in four dimensions, while in five dimensions, the topological black holes…

General Relativity and Quantum Cosmology · Physics 2009-03-12 Yun Soo Myung

We show that higher dimensional models (brane worlds) in which the scale of quantum gravity $M_*$ is much smaller than the apparent scale $M_P \sim 10^{19}$ GeV are in conflict with bounds arising from holography and black hole entropy. The…

High Energy Physics - Phenomenology · Physics 2009-11-10 Deog Ki Hong , Stephen D. H. Hsu

Standard methods for calculating the black hole entropy beyond general relativity are ambiguous when the horizon is non stationary. We fix these ambiguities in all quadratic curvature gravity theories, by demanding that the entropy be…

General Relativity and Quantum Cosmology · Physics 2015-09-09 Srijit Bhattacharjee , Sudipta Sarkar , Aron C. Wall

We extend the results of arXiv:2209.12903 by studying local projective measurements performed on subregions of two copies of a CFT${}_2$ in the thermofield double state and investigating their consequences on the bulk double-sided black…

High Energy Physics - Theory · Physics 2023-07-26 Stefano Antonini , Brianna Grado-White , Shao-Kai Jian , Brian Swingle

Statistical mechanics explains thermodynamics in terms of (quantum) mechanics by equating the entropy of a microstate of a closed system with the logarithm of the number of microstates in the macrostate to which it belongs, but the question…

High Energy Physics - Theory · Physics 2007-05-23 Bernard S. Kay

In this paper we discuss the entropy of quantum black holes in the LQG formalism when the number of punctures on the horizon is treated as a quantum hair, that is we compute the black hole entropy in the grand canonical (area) ensemble. The…

General Relativity and Quantum Cosmology · Physics 2012-08-30 Kinjalk Lochan , Cenalo Vaz

We consider the thermodynamic properties of the constant curvature black hole solution recently found by Banados. We show that it is possible to compute the entropy and the quasilocal thermodynamics of the spacetime using the…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Jolien D. E. Creighton , Robert B. Mann

Quantum Geometry (the modern Loop Quantum Gravity using graphs and spin-networks instead of the loops) provides microscopic degrees of freedom that account for the black-hole entropy. However, the procedure for state counting used in the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Marcin Domagala , Jerzy Lewandowski

The classical thermostatics of equilibrium processes is shown to possess a quantum-mechanical dual theory with a finite-dimensional Hilbert space of quantum states. Specifically, the kernel of a certain Hamiltonian operator becomes the…

Mathematical Physics · Physics 2017-04-05 D. Cabrera , P. Fernandez de Cordoba , J. M. Isidro , J. Vazquez Molina

We consider the superconformal quantum mechanics associated to BPS black holes in type IIB Calabi-Yau compactifications. This quantum mechanics describes the dynamics of D-branes in the near-horizon attractor geometry of the black hole. In…

High Energy Physics - Theory · Physics 2008-11-26 Paul S. Aspinwall , Alexander Maloney , Aaron Simons

Some basic features of black-hole statistical mechanics are investigated, assuming that black holes respect the principles of quantum mechanics. Care is needed in defining an entropy S_bh corresponding to the number of microstates of a…

High Energy Physics - Theory · Physics 2013-11-20 Steven B. Giddings

In this work, we study the holographic entanglement entropy (HEE) and holographic complexity (HC) for three-dimensional dyonic quantum black holes, incorporating corrections arising from bulk quantum fields in the setup of double…

High Energy Physics - Theory · Physics 2026-03-03 Sanhita Parihar , Gurmeet Singh Punia

There is a remarkable connection between the number of quantum states of conformal theories and the sequence of dimensions of Lie algebras. In this paper, we explore this connection by computing the asymptotic expansion of the elliptic…

High Energy Physics - Theory · Physics 2009-01-07 M. C. B. Abdalla , A. A. Bytsenko , M. E. X. Guimaraes