We study the consistency of four-point functions of half-BPS chiral primary operators of weight p in four-dimensional N = 4 $$ \mathcal{N}=4 $$ superconformal field theories. The resulting conformal bootstrap equations impose non-trivial bounds for the scaling dimension of unprotected local operators transforming in various representations of the R-symmetry group. These bounds generalize recent bounds for operators in the singlet representation, arising from consistency of the four-point function of the stress-energy tensor multiplet.
{ "_oai": { "updated": "2018-05-01T11:04:14Z", "id": "oai:repo.scoap3.org:9234" }, "authors": [ { "raw_name": "Alday, Luis", "affiliations": [ { "country": "UK", "value": "Mathematical Institute, University of Oxford, Radcliffe Observatory Quarter, Oxford, OX2 6GG, U.K." } ], "surname": "Alday", "given_names": "Luis", "full_name": "Alday, Luis" }, { "raw_name": "Bissi, Agnese", "affiliations": [ { "country": "UK", "value": "Mathematical Institute, University of Oxford, Radcliffe Observatory Quarter, Oxford, OX2 6GG, U.K." } ], "surname": "Bissi", "given_names": "Agnese", "full_name": "Bissi, Agnese" } ], "titles": [ { "source": "Springer/SISSA", "title": "Generalized bootstrap equations for N = 4 $$ \\mathcal{N}=4 $$ SCFT" } ], "dois": [ { "value": "10.1007/JHEP02(2015)101" } ], "publication_info": [ { "page_start": "101", "material": "article", "journal_title": "Journal of High Energy Physics", "year": 2015 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2015-02-17T00:00:00", "source": "Springer/SISSA", "method": "scoap3", "submission_number": "6f57b39a4d2711e8b67702163e01809a" }, "page_nr": [ 17 ], "license": [ { "url": "http://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "The Author(s)" } ], "control_number": "9234", "record_creation_date": "2015-02-17T00:00:00", "_files": [ { "checksum": "md5:12e6f825f035b2bad4810bccab913991", "filetype": "xml", "bucket": "51fc6f2a-b474-433b-bd83-4711b777176b", "version_id": "bbaf7c7e-cdbb-42b5-b3cd-ec893c1b131b", "key": "10.1007/JHEP02(2015)101.xml", "size": 51052 }, { "checksum": "md5:6820665c999438c324e27551c33d7faf", "filetype": "pdf/a", "bucket": "51fc6f2a-b474-433b-bd83-4711b777176b", "version_id": "7536350d-01bb-48aa-9c5f-f1ec23b16368", "key": "10.1007/JHEP02(2015)101_a.pdf", "size": 446304 } ], "arxiv_eprints": [ { "categories": [ "hep-th" ], "value": "1404.5864" } ], "abstracts": [ { "source": "Springer/SISSA", "value": "We study the consistency of four-point functions of half-BPS chiral primary operators of weight p in four-dimensional N = 4 $$ \\mathcal{N}=4 $$ superconformal field theories. The resulting conformal bootstrap equations impose non-trivial bounds for the scaling dimension of unprotected local operators transforming in various representations of the R-symmetry group. These bounds generalize recent bounds for operators in the singlet representation, arising from consistency of the four-point function of the stress-energy tensor multiplet." } ], "imprints": [ { "date": "2015-02-16", "publisher": "Springer/SISSA" } ] }