We discuss the emergence of a new symmetry generator in a Hamiltonian realisation of four-dimensional gauge theories in the flat space foliated by retarded (advanced) time. It generates an asymptotic symmetry that acts on the asymptotic fields in a way different from the usual large gauge transformations. The improved canonical generators, corresponding to gauge and asymptotic symmetries, form a classical Kac-Moody charge algebra with a non-trivial central extension. In particular, we describe the case of electromagnetism, where the charge algebra is the U(1) current algebra with a level proportional to the coupling constant of the theory, κ = 4π 2/e 2. We construct bilinear generators yielding Virasoro algebras on the null boundary. We also provide a non-Abelian generalization of the previous symmetries by analysing the evolution of Yang-Mills theory in Bondi coordinates.
{ "_oai": { "updated": "2023-09-24T00:34:17Z", "id": "oai:repo.scoap3.org:78564", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "Chile", "value": "Facultad de Artes Liberales, Universidad Adolfo Ib\u00e1\u00f1ez, Diagonal Las Torres, Santiago, 2640, Chile", "organization": "Universidad Adolfo Ib\u00e1\u00f1ez" } ], "surname": "Gonz\u00e1lez", "email": "hernan.gonzalez@uai.cl", "full_name": "Gonz\u00e1lez, Hern\u00e1n", "given_names": "Hern\u00e1n" }, { "affiliations": [ { "country": "Chile", "value": "Instituto de F\u00edsica, Pontificia Universidad Cat\u00f3lica de Valpara\u00edso, Avda. Universidad 330, Curauma, Valpara\u00edso, Chile", "organization": "Pontificia Universidad Cat\u00f3lica de Valpara\u00edso" } ], "surname": "Labrin", "email": "orianalabrinz@gmail.com", "full_name": "Labrin, Oriana", "given_names": "Oriana" }, { "affiliations": [ { "country": "Chile", "value": "Instituto de F\u00edsica, Pontificia Universidad Cat\u00f3lica de Valpara\u00edso, Avda. Universidad 330, Curauma, Valpara\u00edso, Chile", "organization": "Pontificia Universidad Cat\u00f3lica de Valpara\u00edso" } ], "surname": "Miskovic", "email": "olivera.miskovic@pucv.cl", "full_name": "Miskovic, Olivera", "given_names": "Olivera" } ], "titles": [ { "source": "Springer", "title": "Kac-Moody symmetry in the light front of gauge theories" } ], "dois": [ { "value": "10.1007/JHEP06(2023)165" } ], "publication_info": [ { "page_end": "28", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2023", "artid": "JHEP06(2023)165", "year": 2023, "page_start": "1", "journal_issue": "6" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2023-09-24T00:31:49.170354", "source": "Springer", "method": "Springer", "submission_number": "7ecceed25a7111ee9688729695cabdc8" }, "page_nr": [ 28 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2023" } ], "control_number": "78564", "record_creation_date": "2023-06-28T09:52:08.192779", "_files": [ { "checksum": "md5:c6d1fb65412e87c9e22f3e47d0651d12", "filetype": "xml", "bucket": "11c1c46b-c2c6-49a8-986d-ad98cb2dba37", "version_id": "9ce37fe1-9968-4ab4-a052-651910e73682", "key": "10.1007/JHEP06(2023)165.xml", "size": 12905 }, { "checksum": "md5:2e83e2b24c549702be7f775c21be2d63", "filetype": "pdf/a", "bucket": "11c1c46b-c2c6-49a8-986d-ad98cb2dba37", "version_id": "61dfe0f1-a1a6-4a75-b73f-2a0907a0ff0a", "key": "10.1007/JHEP06(2023)165_a.pdf", "size": 441695 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-th", "gr-qc" ], "value": "2304.03211" } ], "abstracts": [ { "source": "Springer", "value": "We discuss the emergence of a new symmetry generator in a Hamiltonian realisation of four-dimensional gauge theories in the flat space foliated by retarded (advanced) time. It generates an asymptotic symmetry that acts on the asymptotic fields in a way different from the usual large gauge transformations. The improved canonical generators, corresponding to gauge and asymptotic symmetries, form a classical Kac-Moody charge algebra with a non-trivial central extension. In particular, we describe the case of electromagnetism, where the charge algebra is the U(1) current algebra with a level proportional to the coupling constant of the theory, \u03ba = 4\u03c0 2/e 2. We construct bilinear generators yielding Virasoro algebras on the null boundary. We also provide a non-Abelian generalization of the previous symmetries by analysing the evolution of Yang-Mills theory in Bondi coordinates." } ], "imprints": [ { "date": "2023-06-26", "publisher": "Springer" } ] }