Giant Gravitons and a Correspondence Principle

Abstract

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.

14 pages, Latex, references added

References in corpus (3)

• Classical and Thermodynamic Stability of Black Branes
• Supersymmetric Conical Defects: Towards a string theoretic description of black hole formation
• Superstars and Giant Gravitons

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