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The AdS Veneziano amplitude at small curvature

Alday, Luis F.; Chester, Shai M.; Hansen, Tobias; Zhong, De-liang

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Luis F. Alday

Shai M. Chester

De-liang Zhong


We compute the AdS Veneziano amplitude for type IIB gluon scattering in AdS5 × S3 to all orders in α′ in a small curvature expansion. This is achieved by combining a dispersion relation in the dual 4dN = 2 SCFT with an ansatz for the amplitude as a worldsheet integral in terms of multiple polylogarithms. The first curvature correction is fully fixed in this way and satisfies consistency checks in the high energy limit, the low energy expansion as previously fixed using supersymmetric localisation, and for the energy of massive string operators, which we independently compute using a semiclassical expansion. We also combine localisation with this first curvature correction to fix the unprotected D4F4 correction to the amplitude at finite curvature.


Alday, L. F., Chester, S. M., Hansen, T., & Zhong, D. (2024). The AdS Veneziano amplitude at small curvature. Journal of High Energy Physics, 2024(5), Article 322.

Journal Article Type Article
Acceptance Date May 13, 2024
Online Publication Date May 29, 2024
Publication Date May 29, 2024
Deposit Date Jun 12, 2024
Publicly Available Date Jun 12, 2024
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2024
Issue 5
Article Number 322
Keywords AdS-CFT Correspondence, D-Branes, Scale and Conformal Symmetries, Supersymmetric Gauge Theory
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