Bootstrapping Witten diagrams via differential representation in Mellin space

Li, Yue-Zhou; Mei, Jiajie

Abstract

We explore the use of the differential representation of AdS amplitudes to compute Witten diagrams. The differential representation expresses AdS amplitudes in terms of conformal generators acting on contact Witten diagrams, which allows us to construct differential equations for Witten diagrams. These differential equations can then be transformed into difference equations in Mellin space, which can be solved recursively. Using this method, we efficiently re-computed scalar four-point amplitudes and obtained new results for scalar six-point amplitudes mediated by gluons and scalars, as well as two examples of scalar eight-point amplitudes from gluon exchange.

Citation

Li, Y., & Mei, J. (2023). Bootstrapping Witten diagrams via differential representation in Mellin space. Journal of High Energy Physics, 2023(7), Article 156. https://doi.org/10.1007/jhep07%282023%29156

• Journal Article Type: Article
• Acceptance Date: Jul 3, 2023
• Online Publication Date: Jul 20, 2023
• Publication Date: 2023
• Deposit Date: Oct 16, 2023
• Publicly Available Date: Oct 16, 2023
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2023
• Issue: 7
• Article Number: 156
• DOI: https://doi.org/10.1007/jhep07%282023%29156
• Keywords: Scattering Amplitudes, AdS-CFT Correspondence
• Public URL: https://durham-repository.worktribe.com/output/1803895