Embedding AdS black holes in ten and eleven dimensions

We construct the non-linear Kaluza-Klein ansatze 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 ansatze 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 ansatze also allow the black holes with spherical or hyperbolic horizons to be reinterpreted in D = 10 or D = 11. (C) 1999 Published by Elsevier Science B.V. All rights reserved.