We perform a bootstrap analysis of a mixed system of four-point functions of bosonic and fermionic operators in parity-preserving 3d CFTs with O(N) global symmetry. Our results provide rigorous bounds on the scaling dimensions of the O(N)-symmetric Gross-Neveu-Yukawa (GNY) fixed points, constraining these theories to live in isolated islands in the space of CFT data. We focus on the cases N = 1, 2, 4, 8, which have applications to phase transitions in condensed matter systems, and compare our bounds to previous analytical and numerical results.
{ "_oai": { "updated": "2023-07-11T00:33:18Z", "id": "oai:repo.scoap3.org:75547", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "USA", "value": "Department of Physics, Yale University, 217 Prospect St, New Haven, CT, 06520, U.S.A.", "organization": "Yale University" } ], "surname": "Erramilli", "email": "rajeev.erramilli@yale.edu", "full_name": "Erramilli, Rajeev", "given_names": "Rajeev" }, { "affiliations": [ { "country": "USA", "value": "Stanford Institute for Theoretical Physics, Stanford University, 382 Via Pueblo Mall, Stanford, CA, 94305, U.S.A.", "organization": "Stanford University" } ], "surname": "Iliesiu", "email": "liliesiu@stanford.edu", "full_name": "Iliesiu, Luca", "given_names": "Luca" }, { "affiliations": [ { "country": "USA", "value": "School of Natural Sciences, Institute for Advanced Study, 1 Einstein Dr, Princeton, NJ, 08540, U.S.A.", "organization": "School of Natural Sciences, Institute for Advanced Study" }, { "country": "USA", "value": "Simons Center for Geometry and Physics, Stony Brook University, 100 Nicolls Road, Stony Brook, NY, 11794-3840, U.S.A.", "organization": "Stony Brook University" }, { "country": "UK", "value": "Department of Mathematics, King\u2019s College London, Strand, London, WC2R 2LS, U.K.", "organization": "Department of Mathematics, King\u2019s College London" } ], "surname": "Kravchuk", "email": "petr.kravchuk@kcl.ac.uk", "full_name": "Kravchuk, Petr", "given_names": "Petr" }, { "affiliations": [ { "country": "USA", "value": "Walter Burke Institute for Theoretical Physics, Caltech, 1200 East California Blvd, Pasadena, CA, 91125, U.S.A.", "organization": "Walter Burke Institute for Theoretical Physics, Caltech" } ], "surname": "Liu", "email": "aliu7@caltech.edu", "full_name": "Liu, Aike", "given_names": "Aike" }, { "affiliations": [ { "country": "USA", "value": "Department of Physics, Yale University, 217 Prospect St, New Haven, CT, 06520, U.S.A.", "organization": "Yale University" } ], "surname": "Poland", "email": "david.poland@yale.edu", "full_name": "Poland, David", "given_names": "David" }, { "affiliations": [ { "country": "USA", "value": "Walter Burke Institute for Theoretical Physics, Caltech, 1200 East California Blvd, Pasadena, CA, 91125, U.S.A.", "organization": "Walter Burke Institute for Theoretical Physics, Caltech" } ], "surname": "Simmons-Duffin", "email": "dsd@caltech.edu", "full_name": "Simmons-Duffin, David", "given_names": "David" } ], "titles": [ { "source": "Springer", "title": "The Gross-Neveu-Yukawa archipelago" } ], "dois": [ { "value": "10.1007/JHEP02(2023)036" } ], "publication_info": [ { "page_end": "49", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2023", "artid": "JHEP02(2023)036", "year": 2023, "page_start": "1", "journal_issue": "2" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2023-07-11T00:31:12.976768", "source": "Springer", "method": "Springer", "submission_number": "11d99a161f8211ee91ac6ee2827c7def" }, "page_nr": [ 49 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2023" } ], "control_number": "75547", "record_creation_date": "2023-02-06T03:30:18.028973", "_files": [ { "checksum": "md5:5b1a9b3037ca72d6de43305a46bf180e", "filetype": "xml", "bucket": "7e2ae4b2-745f-44b0-90a8-102468dd5a0d", "version_id": "a5f917ae-b93d-436d-91a4-71e96c21b80d", "key": "10.1007/JHEP02(2023)036.xml", "size": 15564 }, { "checksum": "md5:8969cb9a9b45ea843915ba95bdb11d17", "filetype": "pdf/a", "bucket": "7e2ae4b2-745f-44b0-90a8-102468dd5a0d", "version_id": "9976c385-37ef-47cf-8315-05c399d943ab", "key": "10.1007/JHEP02(2023)036_a.pdf", "size": 1088868 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-th", "cond-mat.stat-mech", "cond-mat.str-el", "hep-lat" ], "value": "2210.02492" } ], "abstracts": [ { "source": "Springer", "value": "We perform a bootstrap analysis of a mixed system of four-point functions of bosonic and fermionic operators in parity-preserving 3d CFTs with O(N) global symmetry. Our results provide rigorous bounds on the scaling dimensions of the O(N)-symmetric Gross-Neveu-Yukawa (GNY) fixed points, constraining these theories to live in isolated islands in the space of CFT data. We focus on the cases N = 1, 2, 4, 8, which have applications to phase transitions in condensed matter systems, and compare our bounds to previous analytical and numerical results." } ], "imprints": [ { "date": "2023-02-03", "publisher": "Springer" } ] }