Giant Gravitons and a Correspondence Principle

We propose a correspondence between the physics of certain small charge black holes in AdSk × Sl and large charge black holes in AdSl × Sk. The curvature singularities of these solutions arise, following Myers and Tafjord, from a condensate of giant gravitons. When the number of condensed giants Ng 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 Ng branes. Our primary evidence is an exact correspondence between gravitational entropy formulae of small and large charge solutions in different dimensions.