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arxiv: hep-th/9903214 · v2 · submitted 1999-03-26 · ✦ hep-th

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Embedding AdS Black Holes in Ten and Eleven Dimensions

M. Cvetic , M.J. Duff , P. Hoxha , James T. Liu , H. Lu , J.X. Lu , R. Martinez-Acosta , C.N. Pope
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H. Sati T.A. Tran
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classification ✦ hep-th
keywords blackholesatzedimensionshorizonselevenkaluza-kleinsolutions
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We construct the non-linear Kaluza-Klein ans\"atze 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 ans\"atze 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 tranverse dimensions, in their near-horizon decoupling limits. The horizons of the black holes coincide with the worldvolumes of the branes. The Kaluza-Klein ans\"atze also allow the black holes with spherical or hyperbolic horizons to be reinterpreted in D=10 or D=11.

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