{"id":"https://openalex.org/W4417455135","doi":"https://doi.org/10.1112/plms.70109","title":"W\u2010algebras, Gaussian free fields, and g$\\mathfrak {g}$\u2010Dotsenko\u2013Fateev integrals","display_name":"W\u2010algebras, Gaussian free fields, and g$\\mathfrak {g}$\u2010Dotsenko\u2013Fateev integrals","publication_year":2025,"publication_date":"2025-12-01","ids":{"openalex":"https://openalex.org/W4417455135","doi":"https://doi.org/10.1112/plms.70109"},"language":"en","primary_location":{"id":"doi:10.1112/plms.70109","doi":"https://doi.org/10.1112/plms.70109","is_oa":true,"landing_page_url":"https://doi.org/10.1112/plms.70109","pdf_url":null,"source":{"id":"https://openalex.org/S2898222998","display_name":"Proceedings of the London Mathematical Society","issn_l":"0024-6115","issn":["0024-6115","1460-244X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-3","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the London Mathematical Society","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1112/plms.70109","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000105356","display_name":"Baptiste Cercl\u00e9","orcid":"https://orcid.org/0000-0002-5365-9234","observed_orcids":["https://orcid.org/0000-0002-5365-9234"]},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Baptiste Cercl\u00e9","raw_affiliation_strings":["EPFL SB MATH RGM Lausanne Switzerland"],"raw_orcid":"https://orcid.org/0000-0002-5365-9234","affiliations":[{"raw_affiliation_string":"EPFL SB MATH RGM Lausanne Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5000105356"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":{"value":4700,"currency":"USD","value_usd":4700},"apc_paid":{"value":4700,"currency":"USD","value_usd":4700},"fwci":1.775,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.87476385,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":96},"biblio":{"volume":"131","issue":"6","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.004100000020116568,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.00279999990016222,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/von-neumann-algebras","display_name":"von Neumann algebras","score":0.9940000176429749},{"id":"https://openalex.org/keywords/gaussian-free-field","display_name":"Gaussian free field","score":0.9710000157356262},{"id":"https://openalex.org/keywords/integrability","display_name":"integrability","score":0.7360000014305115},{"id":"https://openalex.org/keywords/ward-identities","display_name":"Ward identities","score":0.9779999852180481},{"id":"https://openalex.org/keywords/fuchsian-equations","display_name":"Fuchsian differential equations","score":0.9549999833106995},{"id":"https://openalex.org/keywords/singular-vectors","display_name":"singular vectors","score":0.9010000228881836},{"id":"https://openalex.org/keywords/simple-lie-algebras","display_name":"simple Lie algebras","score":0.8029999732971191}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8709999918937683},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.6134999990463257},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5877000093460083},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5450999736785889},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5289999842643738},{"id":"https://openalex.org/C2779826952","wikidata":"https://www.wikidata.org/wiki/Q5527838","display_name":"Gaussian free field","level":3,"score":0.49300000071525574},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4740999937057495},{"id":"https://openalex.org/C197273675","wikidata":"https://www.wikidata.org/wiki/Q13220368","display_name":"Representation theory","level":2,"score":0.4350999891757965},{"id":"https://openalex.org/C70120467","wikidata":"https://www.wikidata.org/wiki/Q515893","display_name":"Free probability","level":2,"score":0.4260999858379364},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4180999994277954},{"id":"https://openalex.org/C97145343","wikidata":"https://www.wikidata.org/wiki/Q4723995","display_name":"Algebraic differential equation","level":5,"score":0.3944999873638153},{"id":"https://openalex.org/C70915906","wikidata":"https://www.wikidata.org/wiki/Q1058681","display_name":"Differential operator","level":2,"score":0.3869999945163727},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.3693000078201294},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.3677000105381012},{"id":"https://openalex.org/C70139506","wikidata":"https://www.wikidata.org/wiki/Q1060321","display_name":"Gaussian integral","level":2,"score":0.3610999882221222},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34439998865127563},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.28760001063346863},{"id":"https://openalex.org/C191413488","wikidata":"https://www.wikidata.org/wiki/Q1892554","display_name":"Operator algebra","level":2,"score":0.2768999934196472},{"id":"https://openalex.org/C63036529","wikidata":"https://www.wikidata.org/wiki/Q1855669","display_name":"Invariant theory","level":3,"score":0.2676999866962433},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.2646999955177307},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2639999985694885},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.25609999895095825},{"id":"https://openalex.org/C122203268","wikidata":"https://www.wikidata.org/wiki/Q5862903","display_name":"Probability theory","level":2,"score":0.25440001487731934},{"id":"https://openalex.org/C80183032","wikidata":"https://www.wikidata.org/wiki/Q7922777","display_name":"Vertex model","level":2,"score":0.2538999915122986}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1112/plms.70109","doi":"https://doi.org/10.1112/plms.70109","is_oa":true,"landing_page_url":"https://doi.org/10.1112/plms.70109","pdf_url":null,"source":{"id":"https://openalex.org/S2898222998","display_name":"Proceedings of the London Mathematical Society","issn_l":"0024-6115","issn":["0024-6115","1460-244X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-3","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the London Mathematical Society","raw_type":"journal-article"},{"id":"pmh:oai:infoscience.epfl.ch:20.500.14299/257162","doi":null,"is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/257162","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I5124864","host_organization_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","host_organization_lineage":["https://openalex.org/I5124864"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"research article"}],"best_oa_location":{"id":"doi:10.1112/plms.70109","doi":"https://doi.org/10.1112/plms.70109","is_oa":true,"landing_page_url":"https://doi.org/10.1112/plms.70109","pdf_url":null,"source":{"id":"https://openalex.org/S2898222998","display_name":"Proceedings of the London Mathematical Society","issn_l":"0024-6115","issn":["0024-6115","1460-244X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-3","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the London Mathematical Society","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W63181531","https://openalex.org/W1483560004","https://openalex.org/W1594546452","https://openalex.org/W1594578859","https://openalex.org/W1620687752","https://openalex.org/W1767750567","https://openalex.org/W1931441370","https://openalex.org/W1968037404","https://openalex.org/W1968598896","https://openalex.org/W1972079834","https://openalex.org/W1985946507","https://openalex.org/W1993014169","https://openalex.org/W1999103762","https://openalex.org/W2009930506","https://openalex.org/W2011626263","https://openalex.org/W2014304500","https://openalex.org/W2016148523","https://openalex.org/W2018249102","https://openalex.org/W2021912532","https://openalex.org/W2022028658","https://openalex.org/W2022215767","https://openalex.org/W2028402761","https://openalex.org/W2042492387","https://openalex.org/W2044722814","https://openalex.org/W2045871615","https://openalex.org/W2060090701","https://openalex.org/W2069842320","https://openalex.org/W2070019527","https://openalex.org/W2072465815","https://openalex.org/W2078714547","https://openalex.org/W2091048762","https://openalex.org/W2107702031","https://openalex.org/W2110863704","https://openalex.org/W2129442785","https://openalex.org/W2136276873","https://openalex.org/W2140070677","https://openalex.org/W2144266129","https://openalex.org/W2148651191","https://openalex.org/W2153829371","https://openalex.org/W2179428325","https://openalex.org/W2209276742","https://openalex.org/W2604003040","https://openalex.org/W2811476008","https://openalex.org/W2998031988","https://openalex.org/W3006249358","https://openalex.org/W3159842034","https://openalex.org/W3203336210","https://openalex.org/W4211033058","https://openalex.org/W4229765068","https://openalex.org/W4309976412","https://openalex.org/W4376891850","https://openalex.org/W4384155149","https://openalex.org/W4389847957","https://openalex.org/W4390397994","https://openalex.org/W4403146268","https://openalex.org/W4412923328"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"Based":[1],"on":[2,114],"the":[3,11,20,36,84,100,104,121,128],"intrinsic":[4],"connection":[5],"between":[6,22],"Gaussian":[7,48],"free":[8,49],"fields":[9],"and":[10,25,83],"Heisenberg":[12],"vertex":[13],"algebra,":[14],"we":[15,109],"study":[16],"some":[17,124],"aspects":[18],"of":[19,35,47,86,95,106,117,123],"correspondence":[21],"probability":[23],"theory":[24,116],"\u2010algebras.":[26],"This":[27,51,67],"is":[28],"first":[29],"achieved":[30],"by":[31,45,93],"providing":[32],"a":[33,40,87],"construction":[34],"\u2010algebra":[37,129],"associated":[38,76,130],"to":[39,56,69,77,131],"complex":[41],"simple":[42],"Lie":[43],"algebra":[44],"means":[46],"fields.":[50],"correspondence,":[52],"in":[53],"turn,":[54],"allows":[55],"translate":[57],"algebraic":[58],"statements":[59],"into":[60],"actual":[61],"constraints":[62],"for":[63,73,127],"free\u2010field":[64],"correlation":[65],"functions.":[66],"leads":[68],"new":[70,88,112],"integrability":[71],"results":[72,113],"Dotsenko\u2013Fateev":[74],"integrals":[75],",":[78],"such":[79,119],"as":[80,120],"Ward":[81],"identities":[82],"derivation":[85],"Fuchsian":[89],"differential":[90],"equation":[91],"satisfied":[92],"deformations":[94],"\u2010Dotsenko\u2013Fateev":[96],"that":[97],"arise":[98],"from":[99],"Mukhin\u2013Varchenko":[101],"conjecture.":[102],"Along":[103],"proof":[105],"this":[107],"statement,":[108],"also":[110],"provide":[111],"representation":[115],"\u2010algebras":[118],"description":[122],"singular":[125],"vectors":[126],".":[132]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-12-18T00:00:00"}
