Unravelling AdS3/CFT2 near the boundary
Abstract
We study correlation functions of spectrally-flowed vertex operators in bosonic string theory on AdS3× X in the path integral formalism. By restricting the path integral to only include worldsheets which live near the asymptotic boundary, we compute correlation functions of spectrally-flowed vertex operators and find a precise agreement with the perturbative correlators in the recently-proposed dual CFT at all orders in conformal perturbation theory. We thus provide highly nontrivial evidence for the bulk/boundary duality.
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