### Abstract

We construct the non-linear Kaluza-Klein ansätze describing the embeddings of the U(1)^{3}, U(1)^{4} and U(1)^{2} truncations of D = 5, D = 4 and D = 7 gauged supergravities into the type IIB string and M-theory. These enable one to oxidise any associated lower-dimensional solutions to D = 10 or D = 11. In particular, we use these general ansätze to embed the charged AdS_{5}, AdS_{4} and AdS_{7} black hole solutions in ten and eleven dimensions. The charges for the black holes with toroidal horizons may be interpreted as the angular momenta of D3-branes, M2-branes and M5-branes spinning in the transverse dimensions, in their near-horizon decoupling limits. The horizons of the black holes coincide with the world-volumes of the branes. The Kaluza-Klein ansätze also allow the black holes with spherical or hyperbolic horizons to be reinterpreted in D = 10 or D = 11.

Original language | English (US) |
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Pages (from-to) | 96-126 |

Number of pages | 31 |

Journal | Nuclear Physics B |

Volume | 558 |

Issue number | 1-2 |

State | Published - Oct 4 1999 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

*Nuclear Physics B*,

*558*(1-2), 96-126.