Compact nonlocal Abelian gauge theory in (2 + 1) dimensions, also known as loop model, is a massless theory with a critical line that is explicitly covariant under duality transformations. It corresponds to the large N F limit of self-dual electrodynamics in mixed three-four dimensions. It also provides a bosonic description for surface excitations of three-dimensional topological insulators. Upon mapping the model to a local gauge theory in (3 + 1) dimensions, we compute the spectrum of electric and magnetic solitonic excitations and the partition function on the three torus $$ {\mathbbm{T}}_3 $$ . Analogous results for the S 2 × S 1 geometry show that the theory is conformal invariant and determine the manifestly self-dual spectrum of conformal fields, corresponding to order-disorder excitations with fractional statistics.
{ "_oai": { "updated": "2022-03-03T05:26:24Z", "id": "oai:repo.scoap3.org:52851", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "Italy", "value": "Dipartimento di Fisica, Universit\u00e0 di Firenze, Via G. Sansone 1, Sesto Fiorentino, Firenze, 50019, Italy", "organization": "Universit\u00e0 di Firenze" }, { "country": "Italy", "value": "SISSA, Via Bonomea 265, Trieste, 34136, Italy", "organization": "SISSA" } ], "surname": "Andreucci", "email": "fandreuc@sissa.it", "full_name": "Andreucci, Francesco", "given_names": "Francesco" }, { "affiliations": [ { "country": "Italy", "value": "INFN, Sezione di Firenze, Via G. Sansone 1, Sesto Fiorentino, Firenze, 50019, Italy", "organization": "INFN, Sezione di Firenze" } ], "surname": "Cappelli", "email": "andrea.cappelli@fi.infn.it", "full_name": "Cappelli, Andrea", "given_names": "Andrea" }, { "affiliations": [ { "country": "Italy", "value": "Dipartimento di Fisica, Universit\u00e0 di Firenze, Via G. Sansone 1, Sesto Fiorentino, Firenze, 50019, Italy", "organization": "Universit\u00e0 di Firenze" }, { "country": "Italy", "value": "INFN, Sezione di Firenze, Via G. Sansone 1, Sesto Fiorentino, Firenze, 50019, Italy", "organization": "INFN, Sezione di Firenze" } ], "surname": "Maffi", "email": "lorenzo.maffi@fi.infn.it", "full_name": "Maffi, Lorenzo", "given_names": "Lorenzo" } ], "titles": [ { "source": "Springer", "title": "Quantization of a self-dual conformal theory in (2 + 1) dimensions" } ], "dois": [ { "value": "10.1007/JHEP02(2020)116" } ], "publication_info": [ { "page_end": "35", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2020", "artid": "JHEP02(2020)116", "year": 2020, "page_start": "1", "journal_issue": "2" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2021-05-05T15:12:53.222993", "source": "Springer", "method": "Springer", "submission_number": "cd5d2ec6adb311eba0e30a580a641584" }, "page_nr": [ 35 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2021" } ], "control_number": "52851", "record_creation_date": "2020-02-20T04:30:28.090894", "_files": [ { "checksum": "md5:000927800afdc1aea23c66970dcf867b", "filetype": "xml", "bucket": "95128958-133d-4f1e-aa1b-8a009f1f6f80", "version_id": "20853052-701a-42b2-b4c9-0ae5b81b9c25", "key": "10.1007/JHEP02(2020)116.xml", "size": 13662 }, { "checksum": "md5:cdee074b77078544e45341aa34115c16", "filetype": "pdf/a", "bucket": "95128958-133d-4f1e-aa1b-8a009f1f6f80", "version_id": "714927a3-aaed-492d-a4cb-4a84fefc0b84", "key": "10.1007/JHEP02(2020)116_a.pdf", "size": 874975 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-th", "cond-mat.str-el" ], "value": "1912.04125" } ], "abstracts": [ { "source": "Springer", "value": "Compact nonlocal Abelian gauge theory in (2 + 1) dimensions, also known as loop model, is a massless theory with a critical line that is explicitly covariant under duality transformations. It corresponds to the large N F limit of self-dual electrodynamics in mixed three-four dimensions. It also provides a bosonic description for surface excitations of three-dimensional topological insulators. Upon mapping the model to a local gauge theory in (3 + 1) dimensions, we compute the spectrum of electric and magnetic solitonic excitations and the partition function on the three torus <math> <msub> <mi>T</mi> <mn>3</mn> </msub> </math> $$ {\\mathbbm{T}}_3 $$ . Analogous results for the S 2 \u00d7 S 1 geometry show that the theory is conformal invariant and determine the manifestly self-dual spectrum of conformal fields, corresponding to order-disorder excitations with fractional statistics." } ], "imprints": [ { "date": "2020-02-19", "publisher": "Springer" } ] }