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

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arxiv 2107.01481 v2 pith:EHGMXDRC submitted 2021-07-03 hep-th math-phmath.MP

Andrea Dei , Lorenz Eberhardt This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords formulafour-pointfunctionsstringtexttheoryamountsarbitrary
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We propose a closed-form formula for genus 0 four-point functions in $\text{AdS}_3$ string theory with pure NS-NS flux including arbitrary amounts of spectral flow. Our formula passes many non-trivial consistency checks and has intriguing connections to Hurwitz theory. This paper is the second in a series with several instalments.

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Forward citations

Cited by 5 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. On the $AdS_3$ Virasoro-Shapiro Amplitude

    hep-th 2024-12 conditional novelty 7.0 of 10

    Tree-level four-tachyon amplitudes on AdS3 with NSNS flux expand around flat space into Virasoro-Shapiro integrals dressed with single-valued multiple polylogarithms, to all orders.

  4. 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.

  5. 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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