## Abstract

We present a pedagogical discussion of the emergence of gauged supergravities from M-theory. First, a review of maximal supergravity and its global symmetries and supersymmetric solutions is given. Next, different procedures of dimensional reduction are explained: reductions over a torus, a group manifold and a coset manifold and reductions with a twist. Emphasis is placed on the consistency of the truncations, the resulting gaugings and the possibility to generate field equations without an action. Using these techniques, we construct a number of gauged maximal supergravities in diverse dimensions with a string or M-theory origin. One class consists of the CSO gaugings, which comprise the analytic continuations and group contractions of SO(n) gaugings. We construct the corresponding half-supersymmetric domain walls and discuss their uplift to D- and M-brane distributions. Furthermore, a number of gauged maximal supergravities are constructed that do not have an action. (C) 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

Original language | English |
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Pages (from-to) | 119-230 |

Number of pages | 112 |

Journal | Fortschritte der physik-Progress of physics |

Volume | 53 |

Issue number | 2 |

DOIs | |

Publication status | Published - Feb-2005 |

## Keywords

- M-theory
- supergravity
- compactification
- SUPER P-BRANES
- HOMOGENEOUS COSMOLOGICAL MODELS
- NON-COMPACT GAUGINGS
- II STRING THEORY
- ADS(7) X S(4)
- DOMAIN-WALLS
- N=8 SUPERGRAVITY
- ODD DIMENSIONS
- SELF-DUALITY
- SPONTANEOUS COMPACTIFICATION