4d/5d Correspondence for the Black Hole Potential and its Critical Points

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 elucidated. For symmetric spaces, we identify the BPS and non-BP...

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Detalles Bibliográficos
Autores principales: Ceresole, Anna, Ferrara, Sergio, Marrani, Alessio
Lenguaje:eng
Publicado: 2007
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1088/0264-9381/24/22/023
http://cds.cern.ch/record/1045665
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author Ceresole, Anna
Ferrara, Sergio
Marrani, Alessio
author_facet Ceresole, Anna
Ferrara, Sergio
Marrani, Alessio
author_sort Ceresole, Anna
collection CERN
description 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 elucidated. For symmetric spaces, we identify the BPS and non-BPS classes of attractors and the respective entropies. These are related by simple formulae, interpolating between four and five dimensions, depending on the volume modulus and on the 4d magnetic (or electric) charges, and holding true also for generic field configurations and for non-symmetric cubic geometries.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2007
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spelling cern-10456652021-10-08T19:47:55Zdoi:10.1088/0264-9381/24/22/023http://cds.cern.ch/record/1045665engCeresole, AnnaFerrara, SergioMarrani, Alessio4d/5d Correspondence for the Black Hole Potential and its Critical PointsParticle Physics - TheoryWe 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 elucidated. For symmetric spaces, we identify the BPS and non-BPS classes of attractors and the respective entropies. These are related by simple formulae, interpolating between four and five dimensions, depending on the volume modulus and on the 4d magnetic (or electric) charges, and holding true also for generic field configurations and for non-symmetric cubic geometries.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 elucidated. For symmetric spaces, we identify the BPS and non-BPS classes of attractors and the respective entropies. These are related by simple formulae, interpolating between four and five dimensions, depending on the volume modulus and on the 4d magnetic (or electric) charges, and holding true also for generic field configurations and for non-symmetric cubic geometries.arXiv:0707.0964CERN-PH-TH-2007-112UCLA-07-TEP-15CERN-PH-TH-2007-112UCLA-07-TEP-15oai:cds.cern.ch:10456652007-07-09
spellingShingle Particle Physics - Theory
Ceresole, Anna
Ferrara, Sergio
Marrani, Alessio
4d/5d Correspondence for the Black Hole Potential and its Critical Points
title 4d/5d Correspondence for the Black Hole Potential and its Critical Points
title_full 4d/5d Correspondence for the Black Hole Potential and its Critical Points
title_fullStr 4d/5d Correspondence for the Black Hole Potential and its Critical Points
title_full_unstemmed 4d/5d Correspondence for the Black Hole Potential and its Critical Points
title_short 4d/5d Correspondence for the Black Hole Potential and its Critical Points
title_sort 4d/5d correspondence for the black hole potential and its critical points
topic Particle Physics - Theory
url https://dx.doi.org/10.1088/0264-9381/24/22/023
http://cds.cern.ch/record/1045665
work_keys_str_mv AT ceresoleanna 4d5dcorrespondencefortheblackholepotentialanditscriticalpoints
AT ferrarasergio 4d5dcorrespondencefortheblackholepotentialanditscriticalpoints
AT marranialessio 4d5dcorrespondencefortheblackholepotentialanditscriticalpoints

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