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Open Access item The Bianchi classification of maximal D = 8 gauged supergravities

Authors:Bergshoeff, Eric A.
Ortín Miguel, Tomás
Roest, D.
Issue Date:2003
Publisher:Institute of Physics Publishing
Citation:Classical and Quantum Gravity 20(18): 3997-4014 (2003)
Abstract:We perform the generalized dimensional reduction of D = 11 supergravity over three-dimensional group manifolds as classified by Bianchi. Thus, we construct 11 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.
Description:19 páginas, 1 figura, 3 tablas.-- PACS numbers: 04.50.+h, 04.65.+e, 11.25.−w.-- El PDF es la versión pre-print (CERN-TH/2003-133 IFT-UAM/CSIC-03-21 UG-03-03 hep-th/0306179).-- et al.
Publisher version (URL):http://dx.doi.org/10.1088/0264-9381/20/18/310
URI:http://hdl.handle.net/10261/39296
ISSN:0264-9381
E-ISSNmetadata.dc.identifier.doi = DOI:1361-6382
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