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The AdS$_3\times $S$^3$ Virasoro-Shapiro amplitude with RR flux

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arxiv 2412.06429 v4 pith:Z57ZGBWM submitted 2024-12-09 hep-th

Shai M. Chester , De-liang Zhong This is my paper · ORCID
classification hep-th
keywords amplitudelimittimescurvatureenergyexpansionfluxstring
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We compute the AdS Virasoro-Shapiro amplitude for scattering of dilatons in type IIB string theory with pure RR flux on $AdS_3\times S^3\times M_4$ for $M_4=T^4$ or $K3$, to all orders in $\alpha'$ in a small AdS curvature expansion. This is achieved by comparing the flat space limit of the dual D1D5 CFT correlator to an ansatz for the amplitude as a worldsheet integral in terms of single valued multiple polylogarithms. The first curvature correction is fully fixed in this way, and satisfies consistency checks in the high energy limit, and by comparison of the energy of massive string operators to a semiclassical expansion. Our result gives infinite predictions for CFT data in the planar limit at strong coupling, which can guide future integrability studies.

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Cited by 3 Pith papers

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

  1. $AdS_3 \times S^3$ Virasoro-Shapiro amplitude with KK modes

    hep-th 2025-08 conditional novelty 7.0 of 10

    The first curvature correction to the AdS3 x S3 Virasoro-Shapiro amplitude for four arbitrary KK modes is obtained as a single-valued polylogarithm worldsheet integral, yielding new anomalous dimensions and OPE data f...

  2. Energy-Energy Correlators at Strong Coupling

    hep-th 2026-07 conditional novelty 6.0 of 10

    The strong-coupling EEC in planar N=4 SYM is now known through λ⁻² for p=2 and through λ⁻³ᐟ² for all half-BPS operators O_p, derived independently from worldsheet and low-energy Wilson-coefficient methods.

  3. Associators for AdS string amplitude building blocks

    hep-th 2025-05 conditional novelty 6.0 of 10

    Open-string AdS building blocks can be generated by Drinfeld associator recursions and closed-string ones by Deligne associator recursions, yielding all-order zeta-valued expansions.

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