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The Bianchi Classification of Maximal D=8 Gauged Supergravities

We perform the generalised dimensional reduction of D=11 supergravity over three-dimensional group manifolds as classified by Bianchi. Thus, we construct eleven different maximal D=8 gauged supergravities, two of which have an additional parameter. One class of group manifolds (called class B by Bia...

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Autores principales: Bergshoeff, Eric, Gran, Ulf, Linares, Roman, Nielsen, Mikkel, Ortin, Tomas, Roest, Diederik
Lenguaje:eng
Publicado: 2003
Materias:
Acceso en línea:https://dx.doi.org/10.1088/0264-9381/20/18/310
http://cds.cern.ch/record/624556
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author Bergshoeff, Eric
Gran, Ulf
Linares, Roman
Nielsen, Mikkel
Ortin, Tomas
Roest, Diederik
author_facet Bergshoeff, Eric
Gran, Ulf
Linares, Roman
Nielsen, Mikkel
Ortin, Tomas
Roest, Diederik
author_sort Bergshoeff, Eric
collection CERN
description We perform the generalised dimensional reduction of D=11 supergravity over three-dimensional group manifolds as classified by Bianchi. Thus, we construct eleven different maximal D=8 gauged supergravities, two of which have an additional parameter. One class of group manifolds (called class B by Bianchi) leads to supergravities that are defined by a set of equations of motion that cannot be integrated to an action. All 1/2 BPS domain wall solutions are given. We also find a non-supersymmetric domain wall solution where the single transverse direction is time. This solution describes an expanding universe and upon reduction gives the Einstein-de Sitter universe in D=4. The uplifting of the different solutions to M-theory and the isometries of the corresponding group manifold are discussed.
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spelling cern-6245562023-03-14T18:09:08Zdoi:10.1088/0264-9381/20/18/310http://cds.cern.ch/record/624556engBergshoeff, EricGran, UlfLinares, RomanNielsen, MikkelOrtin, TomasRoest, DiederikThe Bianchi Classification of Maximal D=8 Gauged SupergravitiesParticle Physics - TheoryWe perform the generalised dimensional reduction of D=11 supergravity over three-dimensional group manifolds as classified by Bianchi. Thus, we construct eleven different maximal D=8 gauged supergravities, two of which have an additional parameter. One class of group manifolds (called class B by Bianchi) leads to supergravities that are defined by a set of equations of motion that cannot be integrated to an action. All 1/2 BPS domain wall solutions are given. We also find a non-supersymmetric domain wall solution where the single transverse direction is time. This solution describes an expanding universe and upon reduction gives the Einstein-de Sitter universe in D=4. The uplifting of the different solutions to M-theory and the isometries of the corresponding group manifold are discussed.We perform the generalised dimensional reduction of D=11 supergravity over three-dimensional group manifolds as classified by Bianchi. Thus, we construct eleven different maximal D=8 gauged supergravities, two of which have an additional parameter. One class of group manifolds (class B) leads to supergravities that are defined by a set of equations of motion that cannot be integrated to an action. All 1/2 BPS domain wall solutions are given. We also find a non-supersymmetric domain wall solution where the single transverse direction is time. This solution describes an expanding universe and upon reduction gives the Einstein-de Sitter universe in D=4. The uplifting of the different solutions to M-theory and the isometries of the corresponding group manifold are discussed.hep-th/0306179CERN-TH-2003-133IFT-UAM-CSIC-03-21UG-03-03CERN-TH-2003-133oai:cds.cern.ch:6245562003-06-19
spellingShingle Particle Physics - Theory
Bergshoeff, Eric
Gran, Ulf
Linares, Roman
Nielsen, Mikkel
Ortin, Tomas
Roest, Diederik
The Bianchi Classification of Maximal D=8 Gauged Supergravities
title The Bianchi Classification of Maximal D=8 Gauged Supergravities
title_full The Bianchi Classification of Maximal D=8 Gauged Supergravities
title_fullStr The Bianchi Classification of Maximal D=8 Gauged Supergravities
title_full_unstemmed The Bianchi Classification of Maximal D=8 Gauged Supergravities
title_short The Bianchi Classification of Maximal D=8 Gauged Supergravities
title_sort bianchi classification of maximal d=8 gauged supergravities
topic Particle Physics - Theory
url https://dx.doi.org/10.1088/0264-9381/20/18/310
http://cds.cern.ch/record/624556
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