On-shell diagrams for N = 8 supergravity amplitudes

Heslop, Paul; Lipstein, Arthur E.

Abstract

We define recursion relations for N = 8 supergravity amplitudes using a generalization of the on-shell diagrams developed for planar N = 4 super-Yang-Mills. Although the recursion relations generically give rise to non-planar on-shell diagrams, we show that at tree-level the recursion can be chosen to yield only planar diagrams, the same diagrams occurring in the planar N = 4 theory. This implies non-trivial identities for non-planar diagrams as well as interesting relations between the N = 4 and N = 8 theories. We show that the on-shell diagrams of N = 8 supergravity obey equivalence relations analogous to those of N = 4 super-Yang-Mills, and we develop a systematic algorithm for reading off Grassmannian integral formulae directly from the on-shell diagrams. We also show that the 1-loop 4-point amplitude of N = 8 supergravity can be obtained from on-shell diagrams.

Citation

Heslop, P., & Lipstein, A. E. (2016). On-shell diagrams for N = 8 supergravity amplitudes. Journal of High Energy Physics, 2016(06), Article 069. https://doi.org/10.1007/jhep06%282016%29069

• Journal Article Type: Article
• Acceptance Date: Jun 7, 2016
• Online Publication Date: Jun 10, 2016
• Publication Date: Jun 10, 2016
• Deposit Date: Jun 14, 2016
• Publicly Available Date: Jun 14, 2016
• 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: 2016
• Issue: 06
• Article Number: 069
• DOI: https://doi.org/10.1007/jhep06%282016%29069
• Public URL: https://durham-repository.worktribe.com/output/1409657
• Related Public URLs: http://arxiv.org/abs/1604.03046