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arXiv · hep-th/0306179

The Bianchi Classification of Maximal D=8 Gauged Supergravities

Eric Bergshoeff·Ulf Gran·Roman Linares·Mikkel Nielsen·Tomas Ortin·Diederik Roest
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Abstract

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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Eric Bergshoeff, Ulf Gran, Roman Linares, Mikkel Nielsen, Tomas Ortin, Diederik Roest. 2003-08-26. The Bianchi Classification of Maximal D=8 Gauged Supergravities. https://doi.org/10.1088/0264-9381%2F20%2F18%2F310

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