Professor Paul Heslop paul.heslop@durham.ac.uk
Professor
On-shell diagrams for N = 8 supergravity amplitudes
Heslop, Paul; Lipstein, Arthur E.
Authors
Dr Arthur Lipstein arthur.lipstein@durham.ac.uk
Associate Professor
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 |
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 |
Related Public URLs | http://arxiv.org/abs/1604.03046 |
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Copyright Statement
© The Author(s) 2016 This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
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