Unravelling AdS$_3$/CFT$_2$ near the boundary

Bob Knighton; Vit Sriprachyakul

Unravelling AdS$_3$/CFT$_2$ near the boundary

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arxiv 2404.07296 v2 pith:D4QBS7TM submitted 2024-04-10 hep-th

Bob Knighton , Vit Sriprachyakul This is my paper

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keywords boundarycorrelationfunctionsintegralnearoperatorspathspectrally-flowed

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abstract

We study correlation functions of spectrally-flowed vertex operators in bosonic string theory on $\text{AdS}_3\times X$ 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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Explicit covering-space maps for three long twists plus any number of twist-2 operators are constructed, yielding closed-form four- and five-point bare twist correlators in the ΔN=1,2 cases.

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