Giant Gravitons and a Correspondence Principle

TL;DR

This paper establishes a correspondence between small and large charge black holes in different AdS x S backgrounds, linking their entropy and giant graviton condensates, revealing a new duality in gravitational physics.

Contribution

It introduces a novel correspondence principle connecting small and large charge black holes via giant graviton condensates and provides exact entropy formulae matching evidence.

Findings

Exact entropy formulae correspondence between different dimensions

Giant graviton condensate as origin of curvature singularities

Proposed dual description when N_g >> N

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.