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arXiv · hep-th/0406096

Giant gravitons in AdS/CFT (I): matrix model and back reaction

Marco M. Caldarelli·Pedro J. Silva
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Abstract

In this article we study giant gravitons in the framework of AdS/CFT correspondence. First, we show how to describe these configurations in the CFT side using a matrix model. In this picture, giant gravitons are realized as single excitations high above a Fermi sea, or as deep holes into it. Then, we give a prescription to define quasi-classical states and we recover the known classical solution associated to the CFT dual of a giant graviton that grows in AdS. Second, we use the AdS/CFT dictionary to obtain the supergravity boundary stress tensor of a general state and to holographically reconstruct the bulk metric, obtaining the back reaction of space-time. We find that the space-time response to all the supersymmetric giant graviton states is of the same form, producing the singular BPS limit of the three charge Reissner-Nordström-AdS black holes. While computing the boundary stress tensor, we comment on the finite counterterm recently introduced by Liu and Sabra, and connect it to a scheme-dependent conformal anomaly.

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Marco M. Caldarelli, Pedro J. Silva. 2004-07-08. Giant gravitons in AdS/CFT (I): matrix model and back reaction. https://doi.org/10.1088/1126-6708%2F2004%2F08%2F029

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