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Lectures on Attractors and Black Holes

These lectures give an elementary introduction to the subject of four dimensional black holes (BHs) in supergravity and the Attractor Mechanism in the extremal case. Some thermodynamical properties are discussed and some relevant formulae for the critical points of the BH effective potential are giv...

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Autores principales: Ferrara, Sergio, Hayakawa, Kuniko, Marrani, Alessio
Lenguaje:eng
Publicado: 2008
Materias:
Acceso en línea:https://dx.doi.org/10.1002/prop.200810569
http://cds.cern.ch/record/1105009
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author Ferrara, Sergio
Hayakawa, Kuniko
Marrani, Alessio
author_facet Ferrara, Sergio
Hayakawa, Kuniko
Marrani, Alessio
author_sort Ferrara, Sergio
collection CERN
description These lectures give an elementary introduction to the subject of four dimensional black holes (BHs) in supergravity and the Attractor Mechanism in the extremal case. Some thermodynamical properties are discussed and some relevant formulae for the critical points of the BH effective potential are given. The case of Maxwell-Einstein-axion-dilaton (super)gravity is discussed in detail. Analogies among BH entropy and multipartite entanglement of qubits in quantum information theory, as well moduli spaces of extremal BH attractors, are also discussed.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2008
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spelling cern-11050092023-10-04T06:04:28Zdoi:10.1002/prop.200810569http://cds.cern.ch/record/1105009engFerrara, SergioHayakawa, KunikoMarrani, AlessioLectures on Attractors and Black HolesParticle Physics - TheoryThese lectures give an elementary introduction to the subject of four dimensional black holes (BHs) in supergravity and the Attractor Mechanism in the extremal case. Some thermodynamical properties are discussed and some relevant formulae for the critical points of the BH effective potential are given. The case of Maxwell-Einstein-axion-dilaton (super)gravity is discussed in detail. Analogies among BH entropy and multipartite entanglement of qubits in quantum information theory, as well moduli spaces of extremal BH attractors, are also discussed.A basic survey on some aspects of four-dimensional black holes (BHs) is given in these lectures. It covers thermodynamical properties as well as the Attractor Mechanism for extremal BHs in an environment of scalar field background. Some relevant formulæ for the critical points of the BH “effective potential” are discussed, and the simplest example uncovering the attractor behavior, the Maxwell-Einstein-dilaton supergravity, is analyzed in detail. Observations on similarities between BH entropy (as given by the BekensteinHawking entropy-area formula) and multipartite entanglement of qubits in quantum information theory are reported, as well. Finally, among the latest developments, the moduli space of attractor points for N 2 supergravities is also considered. Based on lectures given by S. Ferrara at the International School of Subnuclear Physics, 45th Course: Search for the “Totally Unexpected” in the LHC era, Erice, Italy, 29 August – 7 September 2007 (Directors: G. ’t Hooft – A. Zichichi), and at the III Avogadro Meeting on Theoretical Physics, Alessandria, Italy, 19 – 21 December 2007.These lectures give an elementary introduction to the subject of four dimensional black holes (BHs) in supergravity and the Attractor Mechanism in the extremal case. Some thermodynamical properties are discussed and some relevant formulae for the critical points of the BH effective potential are given. The case of Maxwell-Einstein-axion-dilaton (super)gravity is discussed in detail. Analogies among BH entropy and multipartite entanglement of qubits in quantum information theory, as well moduli spaces of extremal BH attractors, are also discussed.arXiv:0805.2498CERN-PH-TH-2008-002UCLA-08-TEP-11CERN-PH-TH-2008-002UCLA-2008-TEP-11oai:cds.cern.ch:11050092008-05-19
spellingShingle Particle Physics - Theory
Ferrara, Sergio
Hayakawa, Kuniko
Marrani, Alessio
Lectures on Attractors and Black Holes
title Lectures on Attractors and Black Holes
title_full Lectures on Attractors and Black Holes
title_fullStr Lectures on Attractors and Black Holes
title_full_unstemmed Lectures on Attractors and Black Holes
title_short Lectures on Attractors and Black Holes
title_sort lectures on attractors and black holes
topic Particle Physics - Theory
url https://dx.doi.org/10.1002/prop.200810569
http://cds.cern.ch/record/1105009
work_keys_str_mv AT ferrarasergio lecturesonattractorsandblackholes
AT hayakawakuniko lecturesonattractorsandblackholes
AT marranialessio lecturesonattractorsandblackholes