On the AdS 3 Virasoro-Shapiro amplitude

Abstract We consider tree-level scattering amplitudes for four string tachyons on AdS 3 × N $$ \mathcal{N} $$ with pure NSNS fluxes. We show that in a small curvature expansion, properly defined, the amplitudes take the form of a genus zero integral given by the Virasoro-Shapiro integrand with the e...

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Main Authors: Luis F. Alday, Gaston Giribet, Tobias Hansen
Format: Article
Language:English
Published: SpringerOpen 2025-03-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP03(2025)002
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author Luis F. Alday
Gaston Giribet
Tobias Hansen
author_facet Luis F. Alday
Gaston Giribet
Tobias Hansen
author_sort Luis F. Alday
collection DOAJ
description Abstract We consider tree-level scattering amplitudes for four string tachyons on AdS 3 × N $$ \mathcal{N} $$ with pure NSNS fluxes. We show that in a small curvature expansion, properly defined, the amplitudes take the form of a genus zero integral given by the Virasoro-Shapiro integrand with the extra insertion of single valued multiple polylogarithms. This is the same structure as the one found for the AdS Virasoro-Shapiro amplitude in higher dimensions.
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spelling doaj.art-4c5111cb7f6e4a47820a8b57918232942025-03-09T12:05:27ZengSpringerOpenJournal of High Energy Physics1029-84792025-03-012025312210.1007/JHEP03(2025)002On the AdS 3 Virasoro-Shapiro amplitudeLuis F. Alday0Gaston Giribet1Tobias Hansen2Mathematical Institute, University of OxfordDepartment of Physics, New York UniversityDepartment of Mathematical Sciences, Durham UniversityAbstract We consider tree-level scattering amplitudes for four string tachyons on AdS 3 × N $$ \mathcal{N} $$ with pure NSNS fluxes. We show that in a small curvature expansion, properly defined, the amplitudes take the form of a genus zero integral given by the Virasoro-Shapiro integrand with the extra insertion of single valued multiple polylogarithms. This is the same structure as the one found for the AdS Virasoro-Shapiro amplitude in higher dimensions.https://doi.org/10.1007/JHEP03(2025)002Bosonic StringsConformal Field Models in String TheoryLong Strings
spellingShingle Luis F. Alday
Gaston Giribet
Tobias Hansen
On the AdS 3 Virasoro-Shapiro amplitude
Journal of High Energy Physics
Bosonic Strings
Conformal Field Models in String Theory
Long Strings
title On the AdS 3 Virasoro-Shapiro amplitude
title_full On the AdS 3 Virasoro-Shapiro amplitude
title_fullStr On the AdS 3 Virasoro-Shapiro amplitude
title_full_unstemmed On the AdS 3 Virasoro-Shapiro amplitude
title_short On the AdS 3 Virasoro-Shapiro amplitude
title_sort on the ads 3 virasoro shapiro amplitude
topic Bosonic Strings
Conformal Field Models in String Theory
Long Strings
url https://doi.org/10.1007/JHEP03(2025)002
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AT gastongiribet ontheads3virasoroshapiroamplitude
AT tobiashansen ontheads3virasoroshapiroamplitude