Special Vinberg cones and the entropy of BPS extremal black holes

Abstract We consider the static, spherically symmetric and asymptotically flat BPS extremal black holes in ungauged N = 2 D = 4 supergravity theories, in which the scalar manifold of the vector multiplets is homogeneous. By a result of Shmakova on the BPS attractor equations, the entropy of this kin...

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Autores principales:	Dmitri V. Alekseevsky, Alessio Marrani, Andrea Spiro
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Black Holes Supergravity Models Classical Theories of Gravity Differential and Algebraic Geometry Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/a58db54193bd49a2a6c417dad97c3bde
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spelling	oai:doaj.org-article:a58db54193bd49a2a6c417dad97c3bde2021-11-21T12:41:29ZSpecial Vinberg cones and the entropy of BPS extremal black holes10.1007/JHEP11(2021)1001029-8479https://doaj.org/article/a58db54193bd49a2a6c417dad97c3bde2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)100https://doaj.org/toc/1029-8479Abstract We consider the static, spherically symmetric and asymptotically flat BPS extremal black holes in ungauged N = 2 D = 4 supergravity theories, in which the scalar manifold of the vector multiplets is homogeneous. By a result of Shmakova on the BPS attractor equations, the entropy of this kind of black holes can be expressed only in terms of their electric and magnetic charges, provided that the inverse of a certain quadratic map (uniquely determined by the prepotential of the theory) is given. This inverse was previously known just for the cases in which the scalar manifold of the theory is a homogeneous symmetric space. In this paper we use Vinberg’s theory of homogeneous cones to determine an explicit expression for such an inverse, under the assumption that the scalar manifold is homogeneous, but not necessarily symmetric. As immediate consequence, we get a formula for the entropy of BPS black holes that holds in any model of N = 2 supergravity with homogeneous scalar manifold.Dmitri V. AlekseevskyAlessio MarraniAndrea SpiroSpringerOpenarticleBlack HolesSupergravity ModelsClassical Theories of GravityDifferential and Algebraic GeometryNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-35 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Black Holes Supergravity Models Classical Theories of Gravity Differential and Algebraic Geometry Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Black Holes Supergravity Models Classical Theories of Gravity Differential and Algebraic Geometry Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Dmitri V. Alekseevsky Alessio Marrani Andrea Spiro Special Vinberg cones and the entropy of BPS extremal black holes
description	Abstract We consider the static, spherically symmetric and asymptotically flat BPS extremal black holes in ungauged N = 2 D = 4 supergravity theories, in which the scalar manifold of the vector multiplets is homogeneous. By a result of Shmakova on the BPS attractor equations, the entropy of this kind of black holes can be expressed only in terms of their electric and magnetic charges, provided that the inverse of a certain quadratic map (uniquely determined by the prepotential of the theory) is given. This inverse was previously known just for the cases in which the scalar manifold of the theory is a homogeneous symmetric space. In this paper we use Vinberg’s theory of homogeneous cones to determine an explicit expression for such an inverse, under the assumption that the scalar manifold is homogeneous, but not necessarily symmetric. As immediate consequence, we get a formula for the entropy of BPS black holes that holds in any model of N = 2 supergravity with homogeneous scalar manifold.
format	article
author	Dmitri V. Alekseevsky Alessio Marrani Andrea Spiro
author_facet	Dmitri V. Alekseevsky Alessio Marrani Andrea Spiro
author_sort	Dmitri V. Alekseevsky
title	Special Vinberg cones and the entropy of BPS extremal black holes
title_short	Special Vinberg cones and the entropy of BPS extremal black holes
title_full	Special Vinberg cones and the entropy of BPS extremal black holes
title_fullStr	Special Vinberg cones and the entropy of BPS extremal black holes
title_full_unstemmed	Special Vinberg cones and the entropy of BPS extremal black holes
title_sort	special vinberg cones and the entropy of bps extremal black holes
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/a58db54193bd49a2a6c417dad97c3bde
work_keys_str_mv	AT dmitrivalekseevsky specialvinbergconesandtheentropyofbpsextremalblackholes AT alessiomarrani specialvinbergconesandtheentropyofbpsextremalblackholes AT andreaspiro specialvinbergconesandtheentropyofbpsextremalblackholes
_version_	1718418844172681216

Special Vinberg cones and the entropy of BPS extremal black holes

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