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We compare the logarithm of the degeneracy of BPS saturated elementary string states and the string modified Bekenstein-Hawking entropy of the corresponding black holes in N=2 supersymmetric heterotic string compactification to four…

High Energy Physics - Theory · Physics 2009-10-30 Ashoke Sen

We introduce what we call the second-order Boltzmann-Gibbs principle, which allows to replace local functionals of a conservative, one-dimensional stochastic process by a possibly nonlinear function of the conserved quantity. This…

Probability · Mathematics 2015-06-17 Patricia Gonçalves , Milton Jara

The geometrical critical behaviour of the two-dimensional Q-state Potts model is usually studied in terms of the Fortuin-Kasteleyn (FK) clusters, or their surrounding loops. In this paper we study a quite different geometrical object: the…

Statistical Mechanics · Physics 2019-01-23 Jerome Dubail , Jesper Lykke Jacobsen , Hubert Saleur

Speculation that the fine-structure constant $\alpha$ varies in spacetime has a long history. We derive, in 4-D general relativity and in isotropic coordinates, the solution for a charged spherical black hole according to the framework for…

General Relativity and Quantum Cosmology · Physics 2013-11-06 Jacob D. Bekenstein , Marcelo Schiffer

We study the structure and stability of spherically symmetric Brans-Dicke black-hole type solutions with an infinite horizon area and zero Hawking temperature, existing for negative values of the coupling constant $\omega$. These solutions…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. A. Bronnikov , G. Clement , C. P. Constantinidis , J. C. Fabris

The strong version of the nonviolent nonlocality proposal of Giddings predicts "strong but soft" quantum metric fluctuations near black hole horizons in an attempt to resolve the information paradox. To study observable signatures of this…

General Relativity and Quantum Cosmology · Physics 2020-05-20 Steven L. Liebling , Michael Kavic , Matthew Lippert

Recent conjectures on the complexity of black holes suggest that their evolution manifests in the structural properties of Einstein-Rosen bridges, like the length and volume. The complexity of black holes relates to the computational…

High Energy Physics - Theory · Physics 2023-06-12 Marco Alberto Javarone

A numerical solution scheme for the Einstein field equations based on generalized harmonic coordinates is described, focusing on details not provided before in the literature and that are of particular relevance to the binary black hole…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Frans Pretorius

We consider the noncommutative Abelian-Higgs theory and investigate general static vortex configurations including recently found exact multi-vortex solutions. In particular, we prove that the self-dual BPS solutions cease to exist once the…

High Energy Physics - Theory · Physics 2009-10-31 Dongsu Bak , Kimyeong Lee , Jeong-Hyuck Park

The superconformal index of ${\cal N}=4$ supersymmetric Yang-Mills theory with gauge group $\mathrm{U}(N)$ has provided powerful insights into the entropy of supersymmetric black holes in AdS$_5\times S^5$, including some sub-leading…

High Energy Physics - Theory · Physics 2025-02-13 Evan Deddo , Leopoldo A. Pando Zayas , Wenjie Zhou

Regular black holes with nonsingular cores have been considered in several approaches to quantum gravity, and as agnostic frameworks to address the singularity problem and Hawking's information paradox. While in a recent work we argued that…

General Relativity and Quantum Cosmology · Physics 2021-06-02 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Costantino Pacilio , Matt Visser

As argued in arXiv:2104.10172, introducing a non-minimally coupled scalar field, three-dimensional Einstein gravity can be extended by infinite families of theories which admit simple analytic generalizations of the charged BTZ black hole.…

General Relativity and Quantum Cosmology · Physics 2025-08-26 Pablo Bueno , Oscar Lasso Andino , Javier Moreno , Guido van der Velde

In this paper we set up the family Seiberg-Witten theory. It can be applied to the counting of nodal pseudo-holomorphic curves in a symplectic 4-manifold (especially a Kahler surface). A new feature in this theory is that the chamber…

Geometric Topology · Mathematics 2007-05-23 Tian-Jun Li , Ai-Ko Liu

Extremal planar black holes of four dimensional Einstein-Maxwell theory with a negative cosmological constant have an AdS$_2 \times \R^2$ near horizon geometry. We show that this near horizon geometry admits a deformation to a two parameter…

High Energy Physics - Theory · Physics 2015-06-19 Sean A. Hartnoll , Jorge E. Santos

Black hole generalized p-brane solutions for a wide class of intersection rules are obtained. The solutions are defined on a manifold that contains a product of n - 1 Ricci-flat ``internal'' spaces. They are defined up to a set of functions…

High Energy Physics - Theory · Physics 2007-05-23 V. D. Ivashchuk , V. N. Melnikov

We consider a class of line operators in d=4, N=2 supersymmetric field theories which leave four supersymmetries unbroken. Such line operators support a new class of BPS states which we call "framed BPS states." These include halo bound…

High Energy Physics - Theory · Physics 2012-10-09 Davide Gaiotto , Gregory W. Moore , Andrew Neitzke

In four-dimensional N=2 compactifications of string theory or M-theory, modifications of the Bekenstein-Hawking area law for black hole entropy in the presence of higher-derivative interactions are crucial for finding agreement between the…

High Energy Physics - Theory · Physics 2008-11-26 Gabriel Lopes Cardoso , Bernard de Wit , Thomas Mohaupt

Mass around dark matter halos can be divided into "infalling" material and "collapsed" material that has passed through at least one pericenter. Analytical models and simulations predict a rapid drop in the halo density profile associated…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-31 Eric Baxter , Chihway Chang , Bhuvnesh Jain , Susmita Adhikari , Neal Dalal , Andrey Kravtsov , Surhud More , Eduardo Rozo , Eli Rykoff , Ravi K. Sheth

This is the second of series of papers studyig moduli spaces of a certain class of coherent sheaves, which we call stable perverse coherent sheaves, on the blow-up of a projective surface at a point. The followings are main results of this…

Algebraic Geometry · Mathematics 2011-09-05 Hiraku Nakajima , Kota Yoshioka

In this work, we investigate the phase transition of the Schwarzschild black hole (SBH) inside an isothermal spherical cavity in the context of the non-commutative (NC) gauge theory of gravity, by using the Seiberg-Witten (SW) map and the…

General Relativity and Quantum Cosmology · Physics 2024-11-08 Abdellah Touati , Slimane Zaim