{ "id": "2307.14955", "version": "v1", "published": "2023-07-27T15:47:37.000Z", "updated": "2023-07-27T15:47:37.000Z", "title": "Boundary structure of the standard model coupled to gravity", "authors": [ "Giovanni Canepa", "Alberto S. Cattaneo", "Filippo Fila-Robattino", "Manuel Tecchiolli" ], "comment": "53 pages. Comments are welcome", "categories": [ "math-ph", "gr-qc", "hep-th", "math.MP", "math.SG" ], "abstract": "In this article a description of the reduced phase space of the standard model coupled to gravity is given. For space or time-like boundaries this is achieved as the reduction of a symplectic space with respect to a coisotropic submanifold and with the BFV formalism. For light-like boundaries the reduced phase space is described as the reduction of a symplectic manifold with respect to a set of constraints. Some results about the Poisson brackets of sums of functionals are also proved.", "revisions": [ { "version": "v1", "updated": "2023-07-27T15:47:37.000Z" } ], "analyses": { "subjects": [ "83C47", "83C05", "83C50" ], "keywords": [ "standard model", "boundary structure", "reduced phase space", "symplectic manifold", "bfv formalism" ], "note": { "typesetting": "TeX", "pages": 53, "language": "en", "license": "arXiv", "status": "editable" } } }