Embedding AdS Black Holes in Ten and Eleven Dimensions

Abstract 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.