{ "id": "0903.4630", "version": "v2", "published": "2009-03-26T18:10:08.000Z", "updated": "2009-12-01T17:10:10.000Z", "title": "N=8 Supergravity on the Light Cone", "authors": [ "Renata Kallosh" ], "comment": "38 p", "doi": "10.1103/PhysRevD.80.105022", "categories": [ "hep-th" ], "abstract": "We construct the generating functional for the light-cone superfield amplitudes in a chiral momentum superspace. It generates the n-point particle amplitudes which on shell are equivalent to the covariant ones. Based on the action depending on unconstrained light-cone chiral scalar superfield, this functional provides a regular d=4 QFT path integral derivation of the Nair-type amplitude constructions. By performing a Fourier transform into the light-cone chiral coordinate superspace we find that the quantum corrections to the superfield amplitudes with n legs are non-local in transverse directions for the diagrams with the number of loops smaller than n(n-1)/2 +1. This suggests the reason why UV infinities, which are proportional to local vertices, cannot appear at least before 7 loops in the light-cone supergraph computations. By combining the E7 symmetry with the supersymmetric recursion relations we argue that the light-cone supergraphs predict all loop finiteness of d=4 N=8 supergravity.", "revisions": [ { "version": "v2", "updated": "2009-12-01T17:10:10.000Z" } ], "analyses": { "subjects": [ "04.65.+e" ], "keywords": [ "light cone", "supergravity", "qft path integral derivation", "light-cone supergraph", "light-cone chiral coordinate superspace" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review D", "year": 2009, "month": "Nov", "volume": 80, "number": 10, "pages": 105022 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 816375, "adsabs": "2009PhRvD..80j5022K" } } }