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The explanation of black hole entropy as statistical entropy is one of the big successes of string theory. In this article we review recent progress in this subject, focussing on understanding quantum effects on black hole entropy.…

High Energy Physics - Theory · Physics 2025-02-24 Davide Cassani , Sameer Murthy

We consider corrections to the entropy of a black hole from an $O(N)$ invariant linear $\s$-model. We obtain the entropy from a $1/N$ expansion of the partition function on a cone. The entropy arises from diagrams which are analogous to…

High Energy Physics - Theory · Physics 2008-11-26 D. Kabat , S. H. Shenker , M. J. Strassler

We review work done over the last years on the macroscopic and microscopic entropy of supersymmetric black holes in fourdimensional N=2 supergravity and in N=2 compactifications of string theory and M-theory. Particular emphasis is put on…

High Energy Physics - Theory · Physics 2016-10-26 Thomas Mohaupt

The macroscopic entropy and the attractor equations for BPS black holes in four-dimensional N=2 supergravity theories follow from a variational principle for a certain `entropy function'. We present this function in the presence of…

High Energy Physics - Theory · Physics 2009-11-11 G. L. Cardoso , B. de Wit , J. Käppeli , T. Mohaupt

We generalize the entropy function formalism to five-dimensional and four-dimensional non-extremal black holes in string theory. In the near horizon limit, these black holes have BTZ metric as part of the spacetime geometry. It is shown…

High Energy Physics - Theory · Physics 2009-11-13 Rong-Gen Cai , Da-Wei Pang

We use the relation between extremal black hole solutions in five- and in four-dimensional N=2 supergravity theories with cubic prepotentials to define the entropy function for extremal black holes with one angular momentum in five…

High Energy Physics - Theory · Physics 2010-10-27 Gabriel Lopes Cardoso , Johannes M. Oberreuter , Jan Perz

We review recent developments concerning supersymmetric black holes in string theory. After a general introduction to the laws of black hole mechanics and to black hole entropy in string theory, we discuss black hole solutions in N=2…

High Energy Physics - Theory · Physics 2008-11-26 T. Mohaupt

Using the Sen's entropy function formalism, we compute the entropy for the extremal dyonic black hole solutions of theories in the presence of dilaton field coupled to the field strength and a dilaton potential. We solve the attractor…

High Energy Physics - Theory · Physics 2016-09-07 Prieslei Goulart

After recalling the definition of black holes, and reviewing their energetics and their classical thermodynamics, one expounds the conjecture of Bekenstein, attributing an entropy to black holes, and the calculation by Hawking of the…

High Energy Physics - Theory · Physics 2015-06-26 Thibault Damour

Following the work of Sen, we consider the correspondence between extremal black holes and string states in the context of the entropy. We obtain and study properties of electrically charged black hole backgrounds of tree level heterotic…

High Energy Physics - Theory · Physics 2009-10-28 Amanda W. Peet

In this review we try to give a pedagogical introduction to the recent progress in the resolution of old problems of black hole thermodynamics within superstring theory. We start with a brief description of classical black hole dynamics.…

High Energy Physics - Theory · Physics 2009-10-30 E. T. Akhmedov

We revisit the microscopic description of AdS$_3$ black holes in light of recent progress on their higher dimensional analogues. The grand canonical partition function that follows from the AdS$_3$/CFT$_2$ correspondence describes BPS and…

High Energy Physics - Theory · Physics 2021-07-28 Finn Larsen , Siyul Lee

This is a short review summarizing the current status of the comparison between microscopic and macroscopic entropy of extremal BPS black holes in string theory.

High Energy Physics - Theory · Physics 2015-06-18 Ashoke Sen

We aim to provide a microscopic explanation of observed 4D black holes based on the compactification of 5D Einstein gravity plus a positive cosmological constant on a circle. The framework of the dimensional reduction in this work allows us…

High Energy Physics - Theory · Physics 2026-03-10 Cao H. Nam

In these notes we describe recent progress in understanding finite size corrections to the black hole entropy. Much of the earlier work concerning quantum black holes has been in the limit of large charges when the area of the even horizon…

High Energy Physics - Theory · Physics 2012-08-24 Atish Dabholkar , Suresh Nampuri

We calculate the entropy of 4-charge extremal black holes in Type IIA supersting theory by using Sen's entropy function method. Using the low energy effective actions in both $10D$ and 4D, we find precise agreements with the…

High Energy Physics - Theory · Physics 2008-11-26 Rong-Gen Cai , Da-Wei Pang

We provide a field theory interpretation of the attractor mechanism for asymptotically AdS$_4$ dyonic BPS black holes whose entropy is captured by the supersymmetric index of the twisted ABJM theory at Chern-Simons level one. We…

High Energy Physics - Theory · Physics 2018-07-27 Alejandro Cabo-Bizet , Uri Kol , Leopoldo A. Pando Zayas , Ioannis Papadimitriou , Vimal Rathee

We apply Sen's entropy formalism to the study of the near horizon geometry and the entropy of asymptotically AdS black holes in gauged supergravities. In particular, we consider non-supersymmetric electrically charged black holes with AdS_2…

High Energy Physics - Theory · Physics 2009-11-11 Jose F. Morales , Henning Samtleben

Based on the entropy function formalism, we consider the extremal Kerr-(anti-)de Sitter black holes in 4-dimensions. Solving differential equations exactly, which are obtained by extremizing the entropy function, we find agreement of the…

High Energy Physics - Theory · Physics 2014-11-18 Jin-Ho Cho , Yumi Ko , Soonkeon Nam

In these lecture notes, we review some recent developments on the relation between the macroscopic entropy of four-dimensional BPS black holes and the microscopic counting of states, beyond the thermodynamical, large charge limit. After a…

High Energy Physics - Theory · Physics 2009-11-11 Boris Pioline