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The count of microstates for supersymmetric black holes is typically obtained from a supersymmetric index in weakly-coupled string theory. We find the saddles in the gravitational path integral corresponding to this index in a general…

High Energy Physics - Theory · Physics 2023-10-13 Jan Boruch , Luca V. Iliesiu , Sameer Murthy , Gustavo J. Turiaci

At the horizon, a static extremal black hole solution in N=2 supergravity in four dimensions is determined by a set of so-called attractor equations which, in the absence of higher-curvature interactions, can be derived as extremization…

High Energy Physics - Theory · Physics 2009-10-07 Gabriel Lopes Cardoso , Viviane Grass , Dieter Lust , Jan Perz

We analyze stationary BPS black hole solutions to 4d $\mathcal{N}=2$ abelian gauged supergravity. Using an appropriate near horizon ansatz, we construct rotating attractors with magnetic flux realizing a topological twist along the horizon…

High Energy Physics - Theory · Physics 2019-10-09 Kiril Hristov , Stefanos Katmadas , Chiara Toldo

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

Motivated by the recently proposed connection between N=2 BPS black holes and topological strings, I study the attractor equations and their interplay with the holomorphic anomaly equation. The topological string partition function is…

High Energy Physics - Theory · Physics 2007-05-23 Erik Verlinde

We consider extremal black hole attractors (both BPS and non-BPS) for N=3 and N=5 supergravity in d=4 space-time dimensions. Attractors for matter-coupled N=3 theory are similar to attractors in N=2 supergravity minimally coupled to Abelian…

High Energy Physics - Theory · Physics 2009-02-20 S. Ferrara , A. Gnecchi , A. Marrani

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

We study the ``flat'' directions of non-BPS extremal black hole attractors for N=2, d=4 supergravities whose vector multiplets' scalar manifold is endowed with homogeneous symmetric special Kahler geometry. The non-BPS attractors with…

High Energy Physics - Theory · Physics 2008-11-26 S. Ferrara , A. Marrani

Following the same treatment of Bellucci et.al., we obtain the hitherto unknown general solutions of the radial attractor flow equations for extremal black holes, both for non-BPS with non-vanishing and vanishing central charge Z for the…

High Energy Physics - Theory · Physics 2012-12-12 Raju Roychowdhury

We find a general principle which allows one to compute the area of the horizon of N=2 extremal black holes as an extremum of the central charge. One considers the ADM mass equal to the central charge as a function of electric and magnetic…

High Energy Physics - Theory · Physics 2016-08-24 Sergio Ferrara , Renata Kallosh

A simple relationship of the form Z_BH = |Z_top|^2 is conjectured, where Z_BH is a supersymmetric partition function for a four-dimensional BPS black hole in a Calabi-Yau compactification of Type II superstring theory and Z_top is a…

High Energy Physics - Theory · Physics 2009-09-17 Hirosi Ooguri , Andrew Strominger , Cumrun Vafa

In this paper, we study the attractor mechanism for extremal, spherically symmetric black holes in pure N = 4 Poincar\'e supergravity, which we demonstrate numerically. We further study the supersymmetries preserved by these solutions by…

High Energy Physics - Theory · Physics 2026-04-10 Abhinava Bhattacharjee , Bindusar Sahoo

A comprehensive analysis is presented based exclusively on near-horizon data to determine the attractor equations and the entropy of BPS black holes and rings in five space-time dimensions, for a Lagrangian invariant under eight…

High Energy Physics - Theory · Physics 2015-05-14 Bernard de Wit , Stefanos Katmadas

We investigate the attractor mechanism of five-dimensional extremal rotating black holes in Einstein gravity minimally coupled with a multiplet complex scalar. By imposing regularity on the horizon, we show that the only possible attractor…

High Energy Physics - Theory · Physics 2023-06-13 Norihiro Iizuka , Akihiro Ishibashi , Kengo Maeda

In this paper we study black hole and black string solutions in five dimensional N=2 supergravity theories arising from the compactification of M-theory on Calabi-Yau manifolds. In particular, we consider explicit examples of three…

High Energy Physics - Theory · Physics 2023-10-24 Anshul Mishra , Prasanta K. Tripathy

We consider the Attractor Equations of particular $\mathcal{N}=2$, d=4 supergravity models whose vector multiplets' scalar manifold is endowed with homogeneous symmetric cubic special K\"{a}hler geometry, namely of the so-called $st^{2}$…

High Energy Physics - Theory · Physics 2008-11-26 S. Bellucci , A. Marrani , E. Orazi , A. Shcherbakov

Using the general recipe given in arXiv:0804.0009, where all timelike supersymmetric solutions of N=2, D=4 gauged supergravity coupled to abelian vector multiplets were classified, we construct the first examples of genuine supersymmetric…

High Energy Physics - Theory · Physics 2015-05-14 Sergio L. Cacciatori , Dietmar Klemm

We review recent results in the study of attractor horizon geometries (with non-vanishing Bekenstein-Hawking entropy) of dyonic extremal d=4 black holes in supergravity. We focus on N=2, d=4 ungauged supergravity coupled to a number n_{V}…

High Energy Physics - Theory · Physics 2008-11-26 S. Bellucci , S. Ferrara , A. Marrani

The attractor mechanism in five dimensional Einstein-Maxwell Chern-Simons theory is studied. The expression of the five dimensional rotating black object potential depending on Taub-NUT, electric and magnetic charges as well as on all the…

High Energy Physics - Theory · Physics 2011-03-21 S. Bellucci , S. Ferrara , A. Shcherbakov , A. Yeranyan

We introduce a new attractor mechanism to find the entropy for spherically symmetric extremal black holes. The key ingredient is to find a two-dimensional (2D) dilaton gravity with the dilaton potential $V(\phi)$. The condition of an…

High Energy Physics - Theory · Physics 2008-11-26 Yun Soo Myung , Yong-Wan Kim , Young-Jai Park