Giant Gravitons and a Correspondence Principle

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, Latex, references added

Scientific paper

10.1016/S0370-2693(02)01190-5

We propose a correspondence between the physics of certain small charge black holes in AdS_k x S^l and large charge black holes in AdS_l x S^k. The curvature singularities of these solutions arise, following Myers and Tafjord, from a condensate of giant gravitons. When the number of condensed giants N_g is much greater than the number of background branes N, we propose that the system has an equivalent description in terms of N giant gravitons condensed in a background created by N_g branes. Our primary evidence is an exact correspondence between gravitational entropy formulae of small and large charge solutions in different dimensions.

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