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The study of black holes in string theory has led to the discovery of deep and surprising connections between black holes and modular forms -- which are two classical, a priori unrelated, subjects. This article explains the main physical…

High Energy Physics - Theory · Physics 2023-12-29 Sameer Murthy

The elliptic genus Z_{BH} of a large class of 4D black holes can be expressed as an M-theory partition function on an AdS_3xS^2xCY_3 attractor. We approximate this partition function by summing over multiparticle chiral primary states of…

High Energy Physics - Theory · Physics 2009-09-17 Davide Gaiotto , Andrew Strominger , Xi Yin

In this paper, we check the universality of the entropy product for some black hole and black ring solutions. Applying the asymptotic symmetry group (ASG) analysis, we also find the central charges of the dual CFTs for these solutions. It…

High Energy Physics - Theory · Physics 2020-04-22 Hanif Golchin

We study the entropy of non-supersymmetric extremal black holes which exhibit attractor mechanism by making use of the entropy function. This method, being simple, can be used to calculate corrections to the entropy due to higher order…

High Energy Physics - Theory · Physics 2009-11-11 Mohsen Alishahiha , Hajar Ebrahim

In string theory, black holes can be made from brane systems that are partially delocalized in string theory's extra dimensions. It is expected that they correspond to an ensemble of pure, horizonless microstates sourced by localized…

High Energy Physics - Theory · Physics 2024-05-22 Ben Eckardt

In heterotic string theory compactified to four dimensions with N=2 supersymmetry, string-loop corrections to the universal sector of the low-energy effective action are studied. Within the framework of N=2 supersymmetric formulation of the…

High Energy Physics - Theory · Physics 2014-11-18 Mikhail Z. Iofa

It has been shown that the entropy function formalism is an efficient way to calculate the entropy of black holes in string theory. We check this formalism for the extremal charged dilaton black hole. We find the general four-derivative…

High Energy Physics - Theory · Physics 2017-12-04 Komeil Babaei Velni , Ali Jalali , Bahareh Khoshdelan

We show that the entropy of asymptotically flat, nonextremal black holes can be computed at infinity. We provide a prescription for transforming these black holes to $AdS_2$ black holes with the same entropy by dimensional reduction to 2D…

High Energy Physics - Theory · Physics 2018-11-19 Freya Edholm , Edi Halyo

The entropy and the attractor equations for static extremal black hole solutions follow from a variational principle based on an entropy function. In the general case such an entropy function can be derived from the reduced action evaluated…

High Energy Physics - Theory · Physics 2010-10-27 G. L. Cardoso , B. de Wit , S. Mahapatra

The approximate renormalized one-loop effective action of the quantized massive scalar, spinor and vector field in a large mass limit, i.e., the lowest order of the DeWitt-Schwinger expansion involves the coincidence limit of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jerzy Matyjasek

Black holes in equilibrium can be defined locally in terms of the so-called isolated horizon boundary condition given on a null surface representing the event horizon. We show that this boundary condition can be treated in a manifestly…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Jonathan Engle , Karim Noui , Alejandro Perez

It is shown that the $E_{6(6)}$ symmetric entropy formula describing black holes and black strings in D=5 is intimately tied to the geometry of the generalized quadrangle GQ$(2,4)$ with automorphism group the Weyl group $W(E_6)$. The 27…

High Energy Physics - Theory · Physics 2009-07-30 Péter Lévay , Metod Saniga , Péter Vrana , Petr Pracna

The generic crease set of an event horizon possesses anisotropic structure though most of black holes are dynamically stable. This fact suggests that a generic almost spherical black hole has a very crumpled crease set in a microscopic…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Masaru Siino

We determine the asymptotic symmetry group of Killing horizons by choosing Gaussian null coordinates in the neighbourhood of the horizon and boundary conditions that respect the leading order terms in the metric. The analysis divides…

High Energy Physics - Theory · Physics 2017-11-22 Emil T. Akhmedov , Mahdi Godazgar

The canonical quantization of a Schwarzschild black hole yields a picture of the black hole that is shown to be equivalent to a collection of oscillators whose density of levels is commensurate with that of the statistical bootstrap model.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Cenalo Vaz

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, I show…

High Energy Physics - Theory · Physics 2010-04-28 S. Carlip

We introduce a 'quasi-topological` term [1] in D=1+1 dimensions and the entropy for black holes is calculated [2]. The source of entropy in this case is justified by a non-null stress-energy tensor.

High Energy Physics - Theory · Physics 2007-05-23 Carlos Pinheiro , F. C. Khanna

We shall try to exhibit a relation between black hole entropy and topological entropy using the famous Baum-Connes conjecture for foliated manifolds which are particular examples of noncommutative spaces. Our argument is qualitative and it…

Mathematical Physics · Physics 2008-11-26 Ioannis P. Zois

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

Microscopic black hole entropy calculations in string theory usually proceeds through identifying them as wrapped strings in one higher dimension. For M-theory on elliptic Calabi-Yau threefolds this proceeds via its relation to F-theory in…

High Energy Physics - Theory · Physics 2024-04-03 Indranil Halder , Cumrun Vafa , Kai Xu