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AdS/CFT duality and the black hole information paradox

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arxiv hep-th/0109154 v1 pith:VSF6NZRC submitted 2001-09-20 hep-th gr-qc

Oleg Lunin , Samir D. Mathur This is my paper · ORCID
classification hep-thgr-qc
keywords blackfindevolutiongroundholeinformationparadoxsemiclassical
verification ladder T0 review T1 audit T2 compute T3 formal

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Near-extremal black holes are obtained by exciting the Ramond sector of the D1-D5 CFT, where the ground state is highly degenerate. We find that the dual geometries for these ground states have throats that end in a way that is characterized by the CFT state. Below the black hole threshold we find a detailed agreement between propagation in the throat and excitations of the CFT. We study the breakdown of the semiclassical approximation and relate the results to the proposal of gr-qc/0007011 for resolving the information paradox: semiclassical evolution breaks down if hypersurfaces stretch too much during an evolution. We find that a volume V stretches to a maximum throat depth of V/2G.

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