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.