In these notes we study integrable structures of conformal field theory with BCD symmetry. We realise these integrable structures as $$ \mathfrak{gl} $$ (1) affine Yangian “spin chains” with boundaries. We provide three solutions of Sklyanin KRKR equation compatible with the affine Yangian R-matrix and derive Bethe ansatz equations for the spectrum. Our analysis provides a unified approach to the integrable structures with BCD symmetry including superalgebras.
{ "_oai": { "updated": "2021-11-24T00:57:20Z", "id": "oai:repo.scoap3.org:64258", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "Russia", "value": "Landau Institute for Theoretical Physics, Akademika Semenova av. 1A, Chernogolovka, 142432, Russia", "organization": "Landau Institute for Theoretical Physics" }, { "country": "Russia", "value": "Center for Advanced Studies, Skolkovo Institute of Science and Technology, 1 Nobel Street, Moscow, 143026, Russia", "organization": "Skolkovo Institute of Science and Technology" } ], "surname": "Litvinov", "email": "litvinov@itp.ac.ru", "full_name": "Litvinov, Alexey", "given_names": "Alexey" }, { "affiliations": [ { "country": "Russia", "value": "Center for Advanced Studies, Skolkovo Institute of Science and Technology, 1 Nobel Street, Moscow, 143026, Russia", "organization": "Skolkovo Institute of Science and Technology" }, { "country": "Russia", "value": "Faculty of Mathematics, National Research University Higher School of Economics, Usacheva 6, Moscow, 119048, Russia", "organization": "National Research University Higher School of Economics" } ], "surname": "Vilkoviskiy", "email": "reminguk@gmail.com", "full_name": "Vilkoviskiy, Ilya", "given_names": "Ilya" } ], "titles": [ { "source": "Springer", "title": "Integrable structure of BCD conformal field theory and boundary Bethe ansatz for affine Yangian" } ], "dois": [ { "value": "10.1007/JHEP08(2021)141" } ], "publication_info": [ { "page_end": "29", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2021", "artid": "JHEP08(2021)141", "year": 2021, "page_start": "1", "journal_issue": "8" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2021-11-24T00:32:33.054641", "source": "Springer", "method": "Springer", "submission_number": "a88a546c4cbd11ecaa1b7aa32592193b" }, "page_nr": [ 29 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2021" } ], "control_number": "64258", "record_creation_date": "2021-08-26T06:30:29.902365", "_files": [ { "checksum": "md5:67f6e37d56bee66ce2cc4aa0ff0cc083", "filetype": "xml", "bucket": "ceab1176-10a6-4f9f-86b3-7863b66e2836", "version_id": "364e9c44-6d12-407d-ab85-e290a44b8360", "key": "10.1007/JHEP08(2021)141.xml", "size": 12560 }, { "checksum": "md5:e7009859e0323d3b5e2bbed3cc9801e3", "filetype": "pdf/a", "bucket": "ceab1176-10a6-4f9f-86b3-7863b66e2836", "version_id": "c005c745-6c3f-47fa-be66-56c22dcd4da9", "key": "10.1007/JHEP08(2021)141_a.pdf", "size": 597019 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-th", "math-ph", "math.MP" ], "value": "2105.04018" } ], "abstracts": [ { "source": "Springer", "value": "In these notes we study integrable structures of conformal field theory with BCD symmetry. We realise these integrable structures as <math> <mi>gl</mi> </math> $$ \\mathfrak{gl} $$ (1) affine Yangian \u201cspin chains\u201d with boundaries. We provide three solutions of Sklyanin KRKR equation compatible with the affine Yangian R-matrix and derive Bethe ansatz equations for the spectrum. Our analysis provides a unified approach to the integrable structures with BCD symmetry including superalgebras." } ], "imprints": [ { "date": "2021-08-25", "publisher": "Springer" } ] }