Black Holes and Critical Points in Moduli Space

We study the stabilization of scalars near a supersymmetric black hole horizon using the equation of motion of a particle moving in a potential and background metric. When the relevant 4-dimensional theory is described by special geometry, the generic properties of the critical points of this potent...

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Detalles Bibliográficos
Autores principales: Ferrara, Sergio, Gibbons, Gary W., Kallosh, Renata
Lenguaje:eng
Publicado: 1997
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/S0550-3213(97)00324-6
http://cds.cern.ch/record/320328
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author Ferrara, Sergio
Gibbons, Gary W.
Kallosh, Renata
author_facet Ferrara, Sergio
Gibbons, Gary W.
Kallosh, Renata
author_sort Ferrara, Sergio
collection CERN
description We study the stabilization of scalars near a supersymmetric black hole horizon using the equation of motion of a particle moving in a potential and background metric. When the relevant 4-dimensional theory is described by special geometry, the generic properties of the critical points of this potential can be studied. We find that the extremal value of the central charge provides the minimal value of the BPS mass and of the potential under the condition that the moduli space metric is positive at the critical point. We relate these ideas to the Weinhold and Ruppeiner metrics introduced in the geometric approach to thermodynamics and used for study of critical phenomena.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1997
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spelling cern-3203282023-03-14T19:51:49Zdoi:10.1016/S0550-3213(97)00324-6http://cds.cern.ch/record/320328engFerrara, SergioGibbons, Gary W.Kallosh, RenataBlack Holes and Critical Points in Moduli SpaceParticle Physics - TheoryWe study the stabilization of scalars near a supersymmetric black hole horizon using the equation of motion of a particle moving in a potential and background metric. When the relevant 4-dimensional theory is described by special geometry, the generic properties of the critical points of this potential can be studied. We find that the extremal value of the central charge provides the minimal value of the BPS mass and of the potential under the condition that the moduli space metric is positive at the critical point. We relate these ideas to the Weinhold and Ruppeiner metrics introduced in the geometric approach to thermodynamics and used for study of critical phenomena.We study the stabilization of scalars near a supersymmetric black hole horizon using the equation of motion of a particle moving in a potential and background metric. When the relevant 4-dimensional theory is described by special geometry, the generic properties of the critical points of this potential can be studied. We find that the extremal value of the central charge provides the minimal value of the BPS mass and of the potential under the condition that the moduli space metric is positive at the critical point. We relate these ideas to the Weinhold and Ruppeiner metrics introduced in the geometric approach to thermodynamics and used for study of critical phenomena.We study the stabilization of scalars near a supersymmetric black hole horizon using the equation of motion of a particle moving in a potential and background metric. When the relevant 4-dimensional theory is described by special geometry, the generic properties of the critical points of this potential can be studied. We find that the extremal value of the central charge provides the minimal value of the BPS mass and of the potential under the condition that the moduli space metric is positive at the critical point. This is a property of a regular special geometry. We also study the critical points in all N ⩾ 2 supersymmetric theories. We relate these ideas to the Weinhold and Ruppeiner metrics introduced in the geometric approach to thermodynamics and used for the study of critical phenomena.hep-th/9702103CERN-TH-97-017CERN-TH-97-17DAMTP-R-97-09SU-ITP-97-05SU-ITP-97-05CERN-TH-97-017DAMTP-R-97-09oai:cds.cern.ch:3203281997-02-12
spellingShingle Particle Physics - Theory
Ferrara, Sergio
Gibbons, Gary W.
Kallosh, Renata
Black Holes and Critical Points in Moduli Space
title Black Holes and Critical Points in Moduli Space
title_full Black Holes and Critical Points in Moduli Space
title_fullStr Black Holes and Critical Points in Moduli Space
title_full_unstemmed Black Holes and Critical Points in Moduli Space
title_short Black Holes and Critical Points in Moduli Space
title_sort black holes and critical points in moduli space
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/S0550-3213(97)00324-6
http://cds.cern.ch/record/320328
work_keys_str_mv AT ferrarasergio blackholesandcriticalpointsinmodulispace
AT gibbonsgaryw blackholesandcriticalpointsinmodulispace
AT kalloshrenata blackholesandcriticalpointsinmodulispace

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