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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 prove that higher-dimension operators contribute positively to the entropy of a thermodynamically stable black hole at fixed mass and charge. Our results apply whenever the dominant corrections originate at tree level from quantum field…

High Energy Physics - Theory · Physics 2018-10-08 Clifford Cheung , Junyu Liu , Grant N. Remmen

Using the Sen's mechanism we calculate the entropy for an $AdS_{2}\times S^{d-2}$ extremal and static black hole in four dimensions, with higher derivative terms that comes from a three parameter non-minimal Einstein-Maxwell theory. The…

High Energy Physics - Theory · Physics 2012-01-17 A. Ulacia Rey

We present the most general family of stationary point-like solutions of pure N=4, d=4 Supergravity characterized by completely independent electric and magnetic charges, mass, angular momentum and NUT charge plus the asymptotic values of…

High Energy Physics - Theory · Physics 2009-10-31 Ernesto Lozano-Tellechea , Tomas Ortin

In this work a deep relation between topology and thermodynamical features of manifolds with boundaries is shown. The expression for the Euler characteristic, through the Gauss- Bonnet integral, and the one for the entropy of gravitational…

High Energy Physics - Theory · Physics 2008-02-03 Stefano Liberati , Giuseppe Pollifrone

We give an explicit form of the classical entropy for four-dimensional static near-BPS-saturated black holes of generic N=2 superstring vacua. The expression is obtained by determining the leading corrections in the non-extremality…

High Energy Physics - Theory · Physics 2009-09-17 Klaus Behrndt , Mirjam Cvetic , Wafic A. Sabra

A surprising new seven-parameter supersymmetric black ring solution of five-dimensional supergravity has recently been discovered. In this paper, M-theory is used to give an exact microscopic accounting of its entropy.

High Energy Physics - Theory · Physics 2009-09-17 Michelle Cyrier , Monica Guica , David Mateos , Andrew Strominger

The known BPS dyon black hole solutions of the N=4 heterotic string in four dimensions with non-zero angular momentum all have naked singularities. We show that it is possible to modify a certain class of these solutions by the addition of…

High Energy Physics - Theory · Physics 2010-01-06 Jerome P. Gauntlett , Tsukasa Tada

We establish the relation between the structure governing supersymmetric and non-supersymmetric four- and five-dimensional black holes and multicenter solutions and Calabi-Yau flux compactifications of M-theory and type IIB string theory.…

High Energy Physics - Theory · Physics 2015-06-05 Iosif Bena , Hagen Triendl , Bert Vercnocke

We derive new bounds on higher-dimension operator coefficients in four-dimensional Einstein-Maxwell theory. Positivity of classically-generated corrections to the Wald entropy of thermodynamically stable, rotating dyonic black holes implies…

High Energy Physics - Theory · Physics 2019-08-06 Clifford Cheung , Junyu Liu , Grant N. Remmen

We propose Swampland constraints on consistent 5-dimensional ${\cal N}=1$ supergravity theories. We focus on a special class of BPS magnetic monopole strings which arise in gravitational theories. The central charges and the levels of…

High Energy Physics - Theory · Physics 2020-08-26 Sheldon Katz , Hee-Cheol Kim , Houri-Christina Tarazi , Cumrun Vafa

We use the entropy function formalism to study the effect of the Gauss-Bonnet term on the entropy of spherically symmetric extremal black holes in heterotic string theory in four dimensions. Surprisingly the resulting entropy and the near…

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

We propose an entropy function for AdS$_4$ BPS black holes in M-theory with general magnetic charges, resolving in particular a long-standing puzzle about baryonic charges. The entropy function is constructed from a gravitational block…

High Energy Physics - Theory · Physics 2025-05-29 Seyed Morteza Hosseini , Alberto Zaffaroni

Exact black holes in the Einstein Euler-Heisenberg theory are explored with an exponential entropy framework by using the topological current $\Psi$-mapping theory. The topology classes are investigated through the canonical, mixed, and…

General Relativity and Quantum Cosmology · Physics 2025-10-20 Muhammad Yasir , Tong Lining , Kazuharu Bamba

We give a method in which a quantum of mass equal to twice the Planck mass arises naturally. Then using Bose-Einstein statistics we derive an expression for the black hole entropy which physically tends to the Bekenstein-Hawking formula.

General Relativity and Quantum Cosmology · Physics 2009-10-31 B. Ram

The investigation of gravity in higher-dimensional spacetime has transitioned from a mathematical curiosity to a fundamental framework in theoretical physics, catalyzed by the dimensional requirements of String theory and M-theory. In this…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Chen-Hao Hao , Jiliang Jing , Jieci Wang

We consider N=2 supergravity in four dimensions with small R^2 curvature corrections. We construct large charge extremal supersymmetric and non-supersymmetric black hole solutions in all space, and analyze their thermodynamic properties.

High Energy Physics - Theory · Physics 2010-01-15 Eyal Gruss , Yaron Oz

We discuss higher derivative corrections to black hole entropy in theories that allow a near horizon AdS_3 x X geometry. In arbitrary theories with diffeomorphism invariance we show how to obtain the spacetime central charge in a simple…

High Energy Physics - Theory · Physics 2010-04-06 Per Kraus , Finn Larsen

We study aspects of d-dimensional black holes with two electric charges, corresponding to fundamental strings with generic momentum and winding on an internal circle. The perturbative alpha' corrections to such black holes and their…

High Energy Physics - Theory · Physics 2010-02-11 Amit Giveon , Dan Gorbonos , Merav Stern

Using the fact that 2D Newton constant is wholly induced by a conformal field theory, we derive a formula for the entanglement entropy of the anti-de Sitter black hole in two spacetime dimensions. The leading term in the large black hole…

High Energy Physics - Theory · Physics 2008-11-26 Mariano Cadoni