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String theory is used to count microstates of four-dimensional extremal black holes in compactifications with $N=4$ and $N=8$ supersymmetry. The result agrees for large charges with the Bekenstein-Hawking entropy.

High Energy Physics - Theory · Physics 2009-09-17 Juan Maldacena , Andrew Strominger

As an exact count of protected states, the superconformal index provides a powerful probe into holography and quantum aspects of gravity, reproducing the Bekenstein--Hawking entropy of supersymmetric AdS black holes in the large-$N$ limit.…

High Energy Physics - Theory · Physics 2026-01-21 Chiung Hwang , Chang Lei , Yuezhang Tang

The issue of microstate counting for general black holes in D=5, N=2 supergravity coupled to vector multiplets is discussed from various viewpoints. The statistical entropy is computed for the near-extremal case by using the central charge…

High Energy Physics - Theory · Physics 2015-06-25 Dietmar Klemm

We use the general solution to the trace of the 4-dimensional Einstein equations for static, spherically symmetric configurations as a basis for finding a general class of black hole (BH) metrics, containing one arbitrary function $g_{tt} =…

General Relativity and Quantum Cosmology · Physics 2011-08-03 K. A. Bronnikov , H. Dehnen , V. N. Melnikov

We review recent progress concerning the quantum entropy of a large class of supersymmetric black holes in string theory both from the microscopic and macroscopic sides. On the microscopic field theory side, we present new results…

High Energy Physics - Theory · Physics 2013-05-11 Joao Gomes

We count the number of regular supersymmetric solutions in supergravity, called superstrata, that represent non-linear completion of linear fluctuations around empty AdS_3 x S^3. These solutions carry the same charges as the D1-D5-P black…

High Energy Physics - Theory · Physics 2019-10-08 Masaki Shigemori

It is technically difficult (if not impossible) to write down and solve self-consistently the semiclassical Einstein equations in the case of evaporating black holes. These difficulties can in principle be overcome in an apparently very…

High Energy Physics - Theory · Physics 2015-06-26 Alessandro Fabbri

We consider a one-brane probe in the presence of a five-dimensional black hole in the classical limit. The velocity-dependent force on a slowly-moving probe is characterized by a metric on the probe moduli space. This metric is computed for…

High Energy Physics - Theory · Physics 2009-10-30 Michael Douglas , Joseph Polchinski , Andrew Strominger

We present non-extreme generalisations of intersecting p-brane solutions of eleven-dimensional supergravity which upon toroidal compactification reduce to non-extreme static black holes in dimensions D=4, D=5 and 5<D<10, parameterized by…

High Energy Physics - Theory · Physics 2009-09-17 M. Cvetic , A. A. Tseytlin

This is a set of introductory lecture notes on black holes in string theory. After reviewing some aspects of string theory such as dualities, brane solutions, supersymmetric and non-extremal intersection rules, we analyze in detail extremal…

High Energy Physics - Theory · Physics 2007-05-23 Kostas Skenderis

We construct and count the microstates of out-of-equilibrium eternal AdS black holes in which a shell carrying an order one fraction of the black hole mass is emitted from the past horizon and re-absorbed at the future horizon. Our…

High Energy Physics - Theory · Physics 2025-09-19 Vijay Balasubramanian , Ben Craps , Juan Hernandez , Mikhail Khramtsov , Maria Knysh

We consider four-dimensional dyonic single-center BPS black holes in the $N=2$ STU model of Sen and Vafa. By working in a region of moduli space where the real part of two of the three complex scalars $S, T, U$ are taken to be large, we…

High Energy Physics - Theory · Physics 2020-08-24 G. L. Cardoso , S. Nampuri , D. Polini

We show in a precise group theoretical fashion how the generating solution of regular BPS black holes of N=8 supergravity, which is known to be a solution also of a simpler N=2 STU model truncation, can be characterized as NS-NS or R-R…

High Energy Physics - Theory · Physics 2016-12-28 M. Bertolini , M. Trigiante

We discuss a previous attempt at a microscopic counting of the entropy of asymptotically flat non-extremal black-holes. This method used string dualities to relate 4 and 5 dimensional black holes to the BTZ black hole. We show how the…

High Energy Physics - Theory · Physics 2008-11-26 Assaf Shomer

We propose a universal expression for the moduli metric of a class of four- and five-dimensional black holes which preserve at least four supersymmetries. These include the black holes that are associated with various intersecting branes in…

High Energy Physics - Theory · Physics 2009-10-09 J. Gutowski , G. Papadopoulos

The quantum mechanics of N slowly-moving charged BPS black holes in five-dimensional ${\cal N}=1$ supergravity is considered. The moduli space metric of the N black holes is derived and shown to admit 4 supersymmetries. A near-horizon limit…

High Energy Physics - Theory · Physics 2009-10-31 Jeremy Michelson , Andrew Strominger

We explain in detail how to calculate the gravitational mass and angular momentum multipoles of the most general non-extremal four-dimensional black hole with four magnetic and four electric charges. We also calculate these multipoles for…

High Energy Physics - Theory · Physics 2021-03-31 Iosif Bena , Daniel R. Mayerson

We consider general black holes in D=5, N=2 supergravity coupled to vector multiplets, and discuss the issue of microstate counting from various viewpoints. The statistical entropy is computed for the near-extremal case using the central…

High Energy Physics - Theory · Physics 2009-10-31 S. Cacciatori , D. Klemm , W. A. Sabra , D. Zanon

We consider vacuum solutions in M theory of the form of a five-dimensional Kaluza-Klein black hole cross T^6. In a certain limit, these include the five-dimensional neutral rotating black hole (cross T^6). From a IIA standpoint, these…

High Energy Physics - Theory · Physics 2008-11-26 Roberto Emparan , Gary T. Horowitz

We start with BPS-saturated configurations of two (orthogonally) intersecting M-branes and use the electro-magnetic duality or dimensional reduction along a boost, in order to obtain new p-brane bound states. In the first case the resulting…

High Energy Physics - Theory · Physics 2009-09-17 Miguel S. Costa , Mirjam Cvetic