Multi giant graviton systems, SUSY breaking and CFT

TL;DR

The paper shows that giant gravitons in $AdS_5\times S^5$ reduce to massive particles on timelike geodesics in $AdS_5$, with all single-brane solutions related by $SO(4,2)$ isometries and preserving half of the background SUSY. It constructs a time-dependent 1/4-BPS binary giant graviton by placing two branes on different geodesics and analyzes the dual CFT via the induced boundary conformal maps, identifying generalized giants with transformed subdeterminant operators. The AdS/CFT map is explicit: bulk isometries induce boundary conformal transformations that preserve the same SUSY, so products of transformed and untransformed subdeterminants realize quarter-BPS states in the large $N$ limit. The work also discusses extensions to M-theory giant gravitons and backreacted geometries, offering a framework to study time-dependent BPS configurations and their CFT counterparts.

Abstract

In this article, we describe giant gravitons in AdS_5 x S^5 moving along generic trajectories in AdS_5. The giant graviton dynamics is solved by proving that the D3-brane effective action reduces to that of a massive point particle in AdS_5 and therefore the solutions are in one to one correspondence with timelike geodesics of AdS_5. All these configurations are related via isometries of the background, which induce target space symmetries in the world volume theory of the D-brane. Hence, all these configurations preserve the same amount of supersymmetry as the original giant graviton, i.e. half of the maximal supersymmetry. Multiparticle configurations of two or more giant gravitons are also considered. In particular, a binary system preserving one quarter of the supersymmetries is found, providing a non trivial time-dependent supersymmetric solution. A short study on the dual CFT description of all the above states is given, including a derivation of the exact induced isometry map in the CFT side of the correspondence.