## Abstract

We construct maximal D = 8 gauged supergravities by the reduction of D = 11 supergravity over three-dimensional group manifolds. Such manifolds have been classified by Bianchi. We divide the corresponding gauged supergravities into two classes: class A (with a Lagrangian) and class B (without a Lagrangian). The class A theories have 1/2 BPS domain wall solutions that uplift to purely gravitational solutions consisting of 7D Minkowski and a 4D Euclidean geometry. These geometries are generically singular. The two regular exceptions correspond to the near-horizon limit of the single-center or double-centered Kaluza-Klein monopole. In contrast, the class B supergravities are defined by a set of equations of motion that cannot be integrated to an action and allow for no 1/2 BPS domain walls. (C) 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

Original language | English |
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Pages (from-to) | 472-476 |

Number of pages | 5 |

Journal | Fortschritte der physik-Progress of physics |

Volume | 52 |

Issue number | 6-7 |

DOIs | |

Publication status | Published - 2004 |

Event | 36th International Symposium Ahrenshoop on the Theory of Elementary Particles - , Germany Duration: 26-Aug-2003 → 30-Aug-2003 |