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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 · ORCID
classification hep-th
keywords boundarycorrelationfunctionsintegralnearoperatorspathspectrally-flowed
verification ladder T0 review T1 audit T2 compute T3 formal

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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Covering space maps for $n$-point functions with three long twists

    hep-th 2025-07 conditional novelty 7.0 of 10

    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.

  2. Tensionless strings on $AdS_3 \times S^3 \times S^3 \times S^1$

    hep-th 2024-11 conditional novelty 7.0 of 10

    String theory on AdS3×S3×S3×S1 with two units of flux on each sphere is conjectured to equal the symmetric orbifold of two bosons and eight free fermions.

  3. On the CFT dual of superstring on AdS$_3$

    hep-th 2025-04 conditional novelty 6.0 of 10

    This paper verifies, at second order in conformal perturbation theory, that the proposed marginal deformation of a symmetric orbifold CFT reproduces the residues of three-point superstring correlators on AdS3 x S3 x T4.

  4. Symmetric orbifold OPE from string theory

    hep-th 2025-04 conditional novelty 6.0 of 10

    The worldsheet OPE of delta-function vertex operators in AdS3 string theory captures the longest single-cycle term of the symmetric orbifold OPE, with shorter cycles generated by screening operators.

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