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AdS Virasoro-Shapiro amplitude with KK modes

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arxiv 2308.03683 v1 pith:MAUFUKZX submitted 2023-08-07 hep-th

Giulia Fardelli , Tobias Hansen , Joao A. Silva This is my paper · ORCID
classification hep-th
keywords mathcalamplitudeoperatorsdatamodesresulttexttheory
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We determine the first curvature correction for the string amplitude of two supergravity states and two Kaluza-Klein modes on $\text{AdS}_5 \times \text{S}^5$, which is dual to the correlator $\langle \mathcal{O}_2 \mathcal{O}_2 \mathcal{O}_p \mathcal{O}_p \rangle$ of half-BPS operators in $\mathcal{N}=4$ SYM theory. The result has the form of an integral over the Riemann sphere as for the usual Virasoro-Shapiro amplitude, with the insertion of single-valued multiple polylogarithms of weight three. The result fixes OPE data of single-trace operators in $\mathcal{N}=4$ SYM theory at strong coupling, including operators with non-zero $R$-charge and odd spin. We successfully check our results by comparing to data available from integrability, localisation and consistency with a $10d$ effective action.

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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. $AdS_3 \times S^3$ 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. Probing Line Defect CFT with Mixed-Correlator Bootstrability

    hep-th 2024-12 conditional novelty 6.0 of 10

    Using mixed-correlator bootstrability with parity and localization input, this paper produces new finite-coupling bounds on 12 OPE coefficients and a new exact BPS structure constant for the Maldacena-Wilson line defect CFT.

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

    hep-th 2024-12 conditional novelty 6.0 of 10

    The first AdS curvature correction to the AdS3 x S3 Virasoro-Shapiro amplitude is fixed by matching an SVMPL worldsheet ansatz to the CFT block expansion, yielding new strong-coupling CFT data.

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