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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

The derivation of absolute (moduli-independent) U-invariants for all N>2 extended supergravities at D=4 in terms of (moduli-dependent) central and matter charges is reported. These invariants give a general definition of the ``topological''…

High Energy Physics - Theory · Physics 2015-06-26 Laura Andrianopoli

We develop a geometric realization of a broad class of generalized black hole entropy functionals by establishing their direct correspondence with the Misner$-$Sharp quasilocal mass and the Wald Noether$-$charge entropy in scalar$-$tensor…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Hussain Gohar

We revisit and study quantum corrections to the supersymmetric entropy of BPS black holes in 4d $\mathcal{N}=2$ effective field theories (EFTs), which can be obtained from Type IIA string theory compactified on a Calabi-Yau threefold.…

High Energy Physics - Theory · Physics 2025-09-08 Alberto Castellano , Matteo Zatti

The quasi-local notion of an isolated horizon is employed to study the entropy of black holes without any particular symmetry in loop quantum gravity. The idea of characterizing the shape of a horizon by a sequence of local areas is…

General Relativity and Quantum Cosmology · Physics 2021-11-02 Shupeng Song , Haida Li , Yongge Ma , Cong Zhang

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

For N \ge 2 supergravities, BPS black hole solutions preserving four supersymmetries can be superposed linearly, leading to well defined solutions containing an arbitrary number of such BPS black holes at arbitrary positions. Being…

High Energy Physics - Theory · Physics 2010-02-23 Guillaume Bossard , Hermann Nicolai

The supersymmetric flow equations describing the flow of moduli from infinity to the black hole horizon, and vice versa, are derived in the five-dimensional theories where the moduli space of the very special geometry has disjoint branches.…

High Energy Physics - Theory · Physics 2009-10-31 Renata Kallosh

Black holes whose near-horizon geometries are locally, but not necessarily globally, AdS$_3$ (three-dimensional anti-de Sitter space) are considered. Using the fact that quantum gravity on AdS$_3$ is a conformal field theory, we…

High Energy Physics - Theory · Physics 2009-10-30 Andrew Strominger

We review modifications of the Bekenstein-Hawking area law for black hole entropy in the presence of higher-derivative interactions. In four-dimensional N=2 compactifications of string theory or M-theory these modifications are crucial for…

High Energy Physics - Theory · Physics 2010-04-06 Gabriel Lopes Cardoso , Bernard de Wit , Thomas Mohaupt

We derive an exact formula for the dimensionality of the Hilbert space of the boundary states of SU(2) Chern-Simons theory, which, according to the recent work of Ashtekar et al, leads to the Bekenstein-Hawking entropy of a four dimensional…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Romesh K. Kaul , Parthasarathi Majumdar

We compute the supersymmetric entropy of the most general BPS black hole in 4d $\mathcal{N}=2$ supergravity coupled to $n_V$ vector multiplets obtained from Type IIA string theory compactified on a Calabi-Yau threefold at large volume,…

High Energy Physics - Theory · Physics 2026-03-25 Alberto Castellano , Dieter Lüst , Carmine Montella , Matteo Zatti

We present the main features of the physics of extremal black holes embedded in supersymmetric theories of gravitation, with a detailed analysis of the attractor mechanism for BPS and non-BPS black-hole solutions in four dimensions.

High Energy Physics - Theory · Physics 2008-11-26 Laura Andrianopoli , Riccardo D'Auria , Sergio Ferrara , Mario Trigiante

The results of canonical quantum gravity concerning geometric operators and black hole entropy are beset by an ambiguity labelled by the Immirzi parameter. We use a result from classical gravity concerning the quasinormal mode spectrum of a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Olaf Dreyer

Supersymmetric solutions, such as BPS domain walls or black holes, in four- and five-dimensional supergravity theories with eight supercharges can be described by effective quantum mechanics with a potential term. We show how properties of…

High Energy Physics - Theory · Physics 2009-11-07 Klaus Behrndt , Sergei Gukov , Marina Shmakova

We propose a derivation for computing black hole entropy for spherical non-rotating isolated horizons from loop quantum gravity in four and higher dimensions. The state counting problem effectively reduces to the well studied…

General Relativity and Quantum Cosmology · Physics 2013-10-28 Norbert Bodendorfer

Quantum entropy function is a proposal for computing the entropy associated with the horizon of a black hole in the extremal limit, and is related via AdS/CFT correspondence to the dimension of the Hilbert space in a dual quantum mechanics.…

High Energy Physics - Theory · Physics 2009-08-24 Ashoke Sen

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

A detailed analysis of the spherically symmetric isolated horizon system is performed in terms of the connection formulation of general relativity. The system is shown to admit a manifestly SU(2) invariant formulation where the (effective)…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Jonathan Engle , Karim Noui , Alejandro Perez , Daniele Pranzetti

The quantum mechanics of $N$ slowly-moving BPS black holes in five dimensions is considered. A divergent continuum of states describing arbitrarily closely bound black holes with arbitrarily small excitation energies is found. A…

High Energy Physics - Theory · Physics 2009-10-31 Ruth Britto-Pacumio , Andrew Strominger , Anastasia Volovich