Embedding AdS Black Holes in Ten and Eleven Dimensions
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9903214,
title = {Embedding AdS Black Holes in Ten and Eleven Dimensions},
author = {M. Cvetic and M. J. Duff and P. Hoxha and James T. Liu and H. Lu and J. X. Lu and R. Martinez-Acosta and C. N. Pope and H. Sati and T. A. Tran},
journal= {arXiv preprint arXiv:hep-th/9903214},
year = {2009}
}
Comments
Latex, 35 pages; minor typos corrected