The type IIA Virasoro-Shapiro amplitude in AdS 4 × CP 3 from ABJM theory

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

Abstract

We consider tree level scattering of gravitons in type IIA string theory on AdS4 × CP3 to all orders in α′, which is dual to the stress tensor correlator in U(N)k × U(N)−k ABJM theory in the planar large N limit and to all orders in large λ ~ N/k. The small curvature expansion of this correlator, defined via a Borel transform, is given by the flat space Virasoro-Shapiro amplitude plus AdS curvature corrections. We fix curvature corrections by demanding that their resonances are consistent with the superconformal block expansion of the correlator and with a worldsheet ansatz in terms of single-valued multiple polylogarithms. The first correction is fully fixed in this way, and matches independent results from integrability, as well as the R4 correction at finite AdS curvature that was previously fixed using supersymmetric localization. We are also able to fix the second curvature correction by using a few additional assumptions, and find that it also satisfies various non-trivial consistency checks. We use our results to fix the tree level D4R4 correction at finite AdS curvature, and to give many predictions for future integrability studies.

Citation

Chester, S. M., Hansen, T., & Zhong, D.-L. (2025). The type IIA Virasoro-Shapiro amplitude in AdS 4 × CP 3 from ABJM theory. Journal of High Energy Physics, 2025, Article 40. https://doi.org/10.1007/jhep05%282025%29040

• Journal Article Type: Article
• Acceptance Date: Mar 27, 2025
• Online Publication Date: May 6, 2025
• Publication Date: May 6, 2025
• Deposit Date: May 20, 2025
• Publicly Available Date: May 20, 2025
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2025
• Article Number: 40
• DOI: https://doi.org/10.1007/jhep05%282025%29040
• Keywords: Scattering Amplitudes, Scale and Conformal Symmetries, AdS-CFT Correspondence, Superstrings and Heterotic Strings
• Public URL: https://durham-repository.worktribe.com/output/3941957