2016/04/30 by Paul Heslop, Arthur E. Lipstein · 1 citation
Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Equivalence (formal languages) #Generalization #Particle physics theoretical and experimental studies #Planar #Quantum Chromodynamics and Particle Interactions #Recursion (computer science) #Supergravity #hep-th
paper · pdf · doi:10.1007/jhep06(2016)069
published as JHEP 1606, 069 (2016) · v3. minor changes, published in JHEP
openalex publication_date 2016/06/01 · arxiv created 2016/06/13 · openalex created_date 2016/06/24 · arxiv updated 2016/06/29 · openalex updated_date 2026/08/05
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.