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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 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

It is observed that the three-dimensional BTZ black hole is a supersymmetric solution of the low-energy field equations of heterotic string theory compactified on an Einstein space. The solution involves a non-zero dilaton and NS-NS…

High Energy Physics - Theory · Physics 2009-10-31 Danny Birmingham , Ivo Sachs , Siddhartha Sen

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

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

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

A six-parameter family of five-dimensional black hole solutions is constructed which are labeled by their mass, two asymptotic scalar fields and three charges. It is shown that the Bekenstein-Hawking entropy is exactly matched, arbitrarily…

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

The statistical entropy of a five-dimensional black hole in Type II string theory was recently derived by showing that it is U-dual to the three-dimensional Banados-Teitelboim-Zanelli black hole, and using Carlip's method to count the…

High Energy Physics - Theory · Physics 2009-10-31 Edward Teo

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

We identify the microstates of the non supersymmetric, asymptotically flat 2d black hole in the dual c=1 matrix quantum mechanics (MQM). We calculate the partition function of the theory using Hamiltonian methods and reproduce one of two…

High Energy Physics - Theory · Physics 2024-01-24 Amr Ahmadain , Alexander Frenkel , Krishnendu Ray , Ronak M Soni

The exact entropy of two-charge supersymmetric black holes in N=4 string theories is computed to all orders using Wald's formula and the supersymmetric attractor equations with an effective action that includes the relevant higher curvature…

High Energy Physics - Theory · Physics 2009-11-10 Atish Dabholkar

Supersymmetric black holes provide an excellent theoretical laboratory to test ideas about quantum gravity in general and black hole entropy in particular. When four-dimensional supergravity is interpreted as the low-energy approximation of…

High Energy Physics - Theory · Physics 2016-11-15 T. Mohaupt

By using BPS closed string, the entropy is calculated of the extremal five dimensional black hole consisting of Dirichlet onebranes, Dirichlet fivebranes and Kaluza-Klein momentum in the flat background approximation. In our formulations we…

High Energy Physics - Theory · Physics 2007-05-23 Shuhei Mano , Yuhsuke Yoshida

We extend our recent discussion of four-dimensional black holes bound to a two-brane to include a negative cosmological constant on the brane. We find that for large masses, the solutions are precisely BTZ black holes on the brane, and BTZ…

High Energy Physics - Theory · Physics 2009-10-31 Roberto Emparan , Gary T. Horowitz , Robert C. Myers

In Strominger's proposal for the computation of the statistical entropy of black holes based on the asymptotic symmetry analysis of Brown and Henneaux a fundamental role is played by the asymptotic conditions that the considered metric must…

High Energy Physics - Theory · Physics 2007-05-23 Leopoldo A. Pando Zayas

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

Four dimensional heterotic string effective action is known to admit non-rotating electrically and magnetically charged black hole solutions. It is shown that the partition functions and entropies in both the cases are identical when these…

High Energy Physics - Theory · Physics 2009-10-28 Amit Ghosh , Jnanadeva Maharana

String theory is used to compute the microscopic entropy for several examples of black holes in compactifications with $N=2$ supersymmetry. Agreement with the Bekenstein-Hawking entropy and the moduli-independent $N=2$ area formula is found…

High Energy Physics - Theory · Physics 2016-09-06 David M. Kaplan , David A. Lowe , Juan M. Maldacena , Andrew Strominger

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 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
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