The Bianchi Classification of Maximal D=8 Gauged Supergravities

Details The Bianchi Classification of Maximal D=8 Gauged Supergravities The Bianchi Classification of Maximal D=8 Gauged Supergravities

2003-06-19

arxiv.org/abs/hep-th/0306179v3

Class.Quant.Grav. 20 (2003) 3997-4014

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 1 figure. v2: discussion concerning the isometries clarified, minor changes, references added. v3: references added,

Scientific paper

10.1088/0264-9381/20/18/310

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.

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