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String correlators on $\text{AdS}_3$: Three-point functions

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arxiv 2105.12130 v2 pith:S4MN7AZQ submitted 2021-05-25 hep-th

Andrea Dei , Lorenz Eberhardt This is my paper · ORCID
classification hep-th
keywords functionscorrelatorsfirstmodelstringtextthree-pointamount
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We revisit the computation of string worldsheet correlators on Euclidean $\text{AdS}_3$ with pure NS-NS background. We compute correlation functions with insertions of spectrally flowed operators. We explicitly solve all the known constraints of the model and for the first time conjecture a closed formula for three-point functions with arbitrary amount of spectral flow. We explain the relation of our results with previous computations in the literature and derive the fusion rules of the model. This paper is the first in a series with several installments.

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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. Toward the Structure Constants of $\mathcal{N}=2$ Liouville Theory

    hep-th 2026-07 conditional novelty 7.0 of 10

    N=2 Liouville structure constants are proposed via mirror symmetry to the SL(2)_k/U(1) supercoset, with angular-momentum-violating sectors given explicitly and tested semiclassically to leading loop order.

  2. 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.

  3. 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.

  4. 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.

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