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Magic Supergravities, N= 8 and Black Hole Composites

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 explicit entropy function and corresponding stabilization equati...

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Detalles Bibliográficos
Autores principales: Ferrara, Sergio, Gimon, Eric G., Kallosh, Renata
Lenguaje:eng
Publicado: 2006
Materias:
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.74.125018
http://cds.cern.ch/record/965652
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author Ferrara, Sergio
Gimon, Eric G.
Kallosh, Renata
author_facet Ferrara, Sergio
Gimon, Eric G.
Kallosh, Renata
author_sort Ferrara, Sergio
collection CERN
description 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 explicit entropy function and corresponding stabilization equations which we use to exhibit stationary multi-center 1/2 BPS solutions of these N=2 d=4 theories, starting with the octonionic one with E_{7(-25)} duality symmetry. We generalize to stationary 1/8 BPS multicenter solutions of N=8, d=4 supergravity, using the consistent truncation to the quaternionic magic N=2 supergravity. We present a general solution of non-BPS attractor equations of the STU truncation of magic models. We finish with a discussion of the BPS-non-BPS relations and attractors in N=2 versus N= 5, 6, 8.
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institution Organización Europea para la Investigación Nuclear
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spelling cern-9656522023-03-14T17:16:21Zdoi:10.1103/PhysRevD.74.125018http://cds.cern.ch/record/965652engFerrara, SergioGimon, Eric G.Kallosh, RenataMagic Supergravities, N= 8 and Black Hole CompositesParticle Physics - TheoryWe 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 explicit entropy function and corresponding stabilization equations which we use to exhibit stationary multi-center 1/2 BPS solutions of these N=2 d=4 theories, starting with the octonionic one with E_{7(-25)} duality symmetry. We generalize to stationary 1/8 BPS multicenter solutions of N=8, d=4 supergravity, using the consistent truncation to the quaternionic magic N=2 supergravity. We present a general solution of non-BPS attractor equations of the STU truncation of magic models. We finish with a discussion of the BPS-non-BPS relations and attractors in N=2 versus N= 5, 6, 8.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 explicit entropy function and corresponding stabilization equations which we use to exhibit stationary multi-center 1/2 BPS solutions of these N=2 d=4 theories, starting with the octonionic one with E_{7(-25)} duality symmetry. We generalize to stationary 1/8 BPS multicenter solutions of N=8, d=4 supergravity, using the consistent truncation to the quaternionic magic N=2 supergravity. We present a general solution of non-BPS attractor equations of the STU truncation of magic models. We finish with a discussion of the BPS-non-BPS relations and attractors in N=2 versus N= 5, 6, 8.hep-th/0606211CERN-PH-TH-2006-116SU-ITP-2006-19LBNL-60487UCLA-06-TEP-19CERN-PH-TH-2006-116LBNL-60487SU-ITP-2006-19UCLA-2006-TEP-19oai:cds.cern.ch:9656522006-06-21
spellingShingle Particle Physics - Theory
Ferrara, Sergio
Gimon, Eric G.
Kallosh, Renata
Magic Supergravities, N= 8 and Black Hole Composites
title Magic Supergravities, N= 8 and Black Hole Composites
title_full Magic Supergravities, N= 8 and Black Hole Composites
title_fullStr Magic Supergravities, N= 8 and Black Hole Composites
title_full_unstemmed Magic Supergravities, N= 8 and Black Hole Composites
title_short Magic Supergravities, N= 8 and Black Hole Composites
title_sort magic supergravities, n= 8 and black hole composites
topic Particle Physics - Theory
url https://dx.doi.org/10.1103/PhysRevD.74.125018
http://cds.cern.ch/record/965652
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