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We study extremal non-BPS black holes and strings arising in M-theory compactifications on Calabi-Yau threefolds, obtained by wrapping M2 branes on non-holomorphic 2-cycles and M5 branes on non-holomorphic 4-cycles. Using the attractor…

High Energy Physics - Theory · Physics 2023-01-25 Cody Long , Artan Sheshmani , Cumrun Vafa , Shing-Tung Yau

In these lecture notes we describe recent progress in our understanding of attractor mechanism and entropy of extremal black holes based on the entropy function formalism. We also describe precise computation of the microscopic degeneracy…

High Energy Physics - Theory · Physics 2010-04-06 Ashoke Sen

There is a general scaling argument that shows that the entropy of a small black hole, representing a half-BPS excitation of an elementary heterotic string in any dimension, agrees with the statistical entropy up to an overall numerical…

High Energy Physics - Theory · Physics 2009-11-11 Ashoke Sen

We study the issue of black hole entropy in the topologically massive gravity. Assuming that the presence of gravitational Chern-Simons term with the coupling $1/\mu$ does modify the horizon radius $\tilde{r}_+$, we propose…

High Energy Physics - Theory · Physics 2008-07-24 Yun Soo Myung , Hyung Won Lee , Yong-Wan Kim

We identify the states in string theory which are responsible for the entropy of near-extremal rotating four-dimensional black holes in $N=8$ supergravity. For black holes far from extremality (with no rotation), the Bekenstein-Hawking…

High Energy Physics - Theory · Physics 2016-08-24 G. T. Horowitz , D. A. Lowe , J. M. Maldacena

The Beckenstein-Hawking black hole entropy in string theory and its extensions, as expressed in terms of charges that correspond to central extensions of the supersymmetry algebra, has more symmetries than U-duality. It is invariant under…

High Energy Physics - Theory · Physics 2016-08-24 Itzhak Bars

For BPS black holes with at least four unbroken supercharges, we describe how the macroscopic entropy can be used to compute an appropriate index, which can be then compared with the same index computed in the microscopic description. We…

High Energy Physics - Theory · Physics 2011-04-20 Atish Dabholkar , Joao Gomes , Sameer Murthy , Ashoke Sen

We relate the structure of non-perturbative corrections to BPS black hole observables in flat-spacetime theories with certain properties of probe charged particles in the near-horizon geometry. Concretely, we consider 4d $\mathcal{N} = 2$…

High Energy Physics - Theory · Physics 2026-04-02 Alberto Castellano , Matteo Zatti

We study non-supersymmetric, extremal 4 dimensional black holes which arise upon compactification of type II superstrings on Calabi-Yau threefolds. We propose a generalization of the OSV conjecture for higher derivative corrections to the…

High Energy Physics - Theory · Physics 2008-11-26 Kirill Saraikin , Cumrun Vafa

Using the brick wall regularization of 't Hooft, the entropy of non-extreme and extreme black holes is investigated in a general static, spherically symmetric spacetime. We classify the singularity in the entropy by introducing a {\it new}…

General Relativity and Quantum Cosmology · Physics 2009-11-11 M. Kenmoku , K. K. Nandi , K. Shigemoto

We study the effects of N=4 topological string amplitudes on the entropy of black holes. We analyse the leading contribution associated to six-derivative terms and find one particular operator which can correct the entropy of N=4 black…

High Energy Physics - Theory · Physics 2014-11-20 I. Antoniadis , S. Hohenegger

Black holes whose near-horizon geometries are locally, but not necessarily globally, AdS$_3$ (three-dimensional anti-de Sitter space) are considered. Using the fact that quantum gravity on AdS$_3$ is a conformal field theory, we…

High Energy Physics - Theory · Physics 2009-10-30 Andrew Strominger

Modifications of the area law are crucial in order to find agreement with microscopic entropy calculations based on string theory, when including contributions that are subleading for large charges. The deviations of the area law are in…

High Energy Physics - Theory · Physics 2007-05-23 Bernard de Wit

We construct a four-dimensional BPS saturated heterotic string solution from the Taub-NUT solution. It is a non-extremal black hole solution since its Euler number is non-zero. We evaluate its black hole entropy semiclassically. We discuss…

High Energy Physics - Theory · Physics 2009-10-30 Kenji Suzuki

Some of the extremal black hole solutions in string theory have the same quantum numbers as the Bogomol'nyi saturated elementary string states. We explore the possibility that these black holes can be identified to elementary string…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen

We consider the role of the type-A trace anomaly in static black hole solutions to semiclassical Einstein equation in four dimensions. Via Wald's Noether charge formalism, we compute the contribution to the entropy coming from the anomaly…

High Energy Physics - Theory · Physics 2014-11-20 R Aros , D E Diaz , A Montecinos

We discuss the entanglement entropy for a massive Klein-Gordon field in two Schwarzschild-like quantum black hole spacetimes, also including a nonminimal coupling term with the background scalar curvature. To compute the entanglement…

General Relativity and Quantum Cosmology · Physics 2025-06-10 Alessio Belfiglio , Orlando Luongo , Stefano Mancini , Sebastiano Tomasi

The classical Bekenstein entropy of a black hole is argued to arise from configurations of strings with ends which are frozen on the horizon. Quantum corrections to this entropy are probably finite unlike the case in quantum field theory.…

High Energy Physics - Theory · Physics 2008-02-03 Leonard Susskind

We show that the entropy resulting from the counting of microstates of non extremal black holes using field theory duals of string theories can be interpreted as arising from entanglement. The conditions for making such an interpretation…

High Energy Physics - Theory · Physics 2009-11-11 Ram Brustein , Martin B. Einhorn , Amos Yarom

We show that the Bekenstein-Hawking entropy associated with any black hole undergoes logarithmic corrections when small thermodynamic fluctuations around equilibrium are taken into account. Thus, the corrected expression for black hole…

High Energy Physics - Theory · Physics 2007-05-23 Saurya Das