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We study relations between some topics in number theory and supersymmetric black holes. These relations are based on the ``attractor mechanism'' of N=2 supergravity. In IIB string compactification this mechanism singles out certain…

High Energy Physics - Theory · Physics 2007-05-23 Gregory Moore

We discuss some of the basic features of extremal black holes in four-dimensional extended supergravities. Firstly, all regular solutions display an attractor behavior for the scalar field evolution towards the black hole horizon. Secondly,…

High Energy Physics - Theory · Physics 2017-08-23 Anna Ceresole , Sergio Ferrara

We study attractor mechanism in extremal black holes of Einstein-Born-Infeld theories in four dimensions. We look for solutions which are regular near the horizon and show that they exist and enjoy the attractor behavior. The attractor…

High Energy Physics - Theory · Physics 2008-11-26 B. Chandrasekhar , H. Yavartanoo , S. Yun

We derive and solve the black hole attractor conditions of N=8 supergravity by finding the critical points of the corresponding black hole potential. This is achieved by a simple generalization of the symplectic structure of the special…

High Energy Physics - Theory · Physics 2016-09-06 Sergio Ferrara , Renata Kallosh

Based on recent proposals linking four and five-dimensional BPS solutions, we discuss the explicit dictionary between general stationary 4D and 5D supersymmetric solutions in N=2 supergravity theories with cubic prepotentials. All these…

High Energy Physics - Theory · Physics 2010-04-05 Klaus Behrndt , Gabriel Lopes Cardoso , Swapna Mahapatra

We study extremal black hole solutions of D=5 Gauss-Bonnet gravity coupled to a system of gauge and scalar fields. As in Einstein gravity, we find that the values of the scalar fields on the horizon must extremize a certain effective…

High Energy Physics - Theory · Physics 2009-04-30 Mohamed M. Anber , David Kastor

In this paper we study spherically symmetric single-centered attractors in N=2 supergravity in four dimensions. The attractor points are obtained by extremising the effective black hole potential in the moduli space. Using the 4D-5D…

High Energy Physics - Theory · Physics 2015-06-22 Pramod Dominic , Taniya Mandal , Prasanta K. Tripathy

We find a class of d=4, N=2 supergravity with $R^2$-interactions that admits exact BPS black holes. The prepotential contains quadratic, cubic and chiral curvature-squared terms. Black hole geometry realizes stretched horizon, and consists…

High Energy Physics - Theory · Physics 2007-05-23 Dongsu Bak , Seok Kim , Soo-Jong Rey

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

By making use of the entropy function formalism we study the generalized attractor equations in the four dimensional N=2 supergravity in presence of higher order corrections. This result might be used to understand a possible ensemble one…

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

We examine few simple extremal black hole configurations of N=8, d=4 supergravity. We first elucidate the relation between the BPS Reissner-Nordstrom black hole and the non-BPS Kaluza-Klein dyonic black hole. Their classical entropy, given…

High Energy Physics - Theory · Physics 2009-10-08 A. Ceresole , S. Ferrara , A. Gnecchi , A. Marrani

We express the d=4, N=2 black hole effective potential for cubic holomorphic F functions and generic dyonic charges in terms of d=5 real special geometry data. The 4d critical points are computed from the 5d ones, and their relation is…

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

We consider theories with gravity, gauge fields and scalars in four-dimensional asymptotically flat space-time. By studying the equations of motion directly we show that the attractor mechanism can work for non-supersymmetric extremal black…

High Energy Physics - Theory · Physics 2009-11-11 Kevin Goldstein , Norihiro Iizuka , Rudra P. Jena , Sandip P. Trivedi

We examine the attractor mechanism for extremal black holes in the context of five dimensional N = 2 supergravity and show that attractor points are unique in the extended vector multiplet moduli space. Implications for black hole entropy…

High Energy Physics - Theory · Physics 2007-05-23 Martijn Wijnholt , Slava Zhukov

We present explicit U-duality invariants for the R, C, Q, O$ (real, complex, quaternionic and octonionic) magic supergravities in four and five dimensions using complex forms with a reality condition. From these invariants we derive an…

High Energy Physics - Theory · Physics 2008-11-26 Sergio Ferrara , Eric G. Gimon , Renata Kallosh

Via a series of Kaluza-Klein (KK) and Scherk-Schwarz (SS) compactifications we relate BPS attractors and their complete (in general non-BPS) flows to a Minkowski vacuum in gauged supergravities with vanishing scalar potential in 4, 5, and 6…

High Energy Physics - Theory · Physics 2015-12-09 Kiril Hristov , Andrea Rota

BPS black hole configurations which break half of supersymmetry in the theory of N=2, d=5 supergravity coupled to an arbitrary number of abelian vector multiplets are discussed. A general class of solutions comprising all known BPS rotating…

High Energy Physics - Theory · Physics 2009-10-31 A. H. Chamseddine , W. A. Sabra

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

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

This thesis is focused on supersymmetric objects in gauged supergravities and their interpretation in string theory. Three particular theories are considered and analyzed: matter-coupled $d=4, 5$ abelian gauged supergravities with 8…

High Energy Physics - Theory · Physics 2018-02-14 Nicolò Petri