{"id":"https://openalex.org/W7207572383","doi":"https://doi.org/10.48550/arxiv.2609.02472","title":"Localization and Abelianization of Strings on Group Manifolds: The Non-simply Connected Case","display_name":"Localization and Abelianization of Strings on Group Manifolds: The Non-simply Connected Case","publication_year":2026,"publication_date":"2026-09-02","ids":{"openalex":"https://openalex.org/W7207572383","doi":"https://doi.org/10.48550/arxiv.2609.02472"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.02472","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.02472","pdf_url":"https://arxiv.org/pdf/2609.02472","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.02472","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087614447","display_name":"Yongchao L\u00fc","orcid":"https://orcid.org/0000-0002-4728-3832","observed_orcids":["https://orcid.org/0000-0002-4728-3832"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"L\u00fc, Yongchao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5087614447"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.6937999725341797,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.6937999725341797,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.2671000063419342,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.020400000736117363,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/wzw-models","display_name":"Wess-Zumino-Witten model","score":0.9300000071525574},{"id":"https://openalex.org/keywords/supersymmetric-localization","display_name":"supersymmetric localization","score":0.8429999947547913},{"id":"https://openalex.org/keywords/modular-invariance","display_name":"modular invariance","score":0.7850000262260437},{"id":"https://openalex.org/keywords/global-anomalies","display_name":"global anomalies","score":0.8349999785423279},{"id":"https://openalex.org/keywords/holonomy","display_name":"holonomy","score":0.6349999904632568},{"id":"https://openalex.org/keywords/topological-effects","display_name":"topological effects","score":0.6420000195503235},{"id":"https://openalex.org/keywords/abelianization","display_name":"abelianization","score":0.5180000066757202}],"concepts":[{"id":"https://openalex.org/C2775956649","wikidata":"https://www.wikidata.org/wiki/Q1189744","display_name":"Pfaffian","level":2,"score":0.7429999709129333},{"id":"https://openalex.org/C535169671","wikidata":"https://www.wikidata.org/wiki/Q17080006","display_name":"Semiclassical physics","level":3,"score":0.6485999822616577},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5532000064849854},{"id":"https://openalex.org/C2778401447","wikidata":"https://www.wikidata.org/wiki/Q7140637","display_name":"Partition function (quantum field theory)","level":2,"score":0.49790000915527344},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.49129998683929443},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.47189998626708984},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.4668000042438507},{"id":"https://openalex.org/C52233224","wikidata":"https://www.wikidata.org/wiki/Q44363","display_name":"Fermion","level":2,"score":0.43709999322891235},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43230000138282776},{"id":"https://openalex.org/C181127676","wikidata":"https://www.wikidata.org/wiki/Q850946","display_name":"Wess\u2013Zumino\u2013Witten model","level":3,"score":0.4025000035762787},{"id":"https://openalex.org/C75432250","wikidata":"https://www.wikidata.org/wiki/Q29654355","display_name":"Real line","level":2,"score":0.39169999957084656},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3743000030517578},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.36959999799728394},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.3537999987602234},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.3443000018596649},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.33329999446868896},{"id":"https://openalex.org/C167204820","wikidata":"https://www.wikidata.org/wiki/Q912058","display_name":"Simply connected space","level":2,"score":0.3273000121116638},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.3264000117778778},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.3111000061035156},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.30309998989105225},{"id":"https://openalex.org/C77223115","wikidata":"https://www.wikidata.org/wiki/Q634781","display_name":"Topological quantum number","level":2,"score":0.2867000102996826},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.27059999108314514},{"id":"https://openalex.org/C44306375","wikidata":"https://www.wikidata.org/wiki/Q902019","display_name":"Symmetry group","level":2,"score":0.2563000023365021}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.02472","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.02472","pdf_url":"https://arxiv.org/pdf/2609.02472","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.02472","doi":"https://doi.org/10.48550/arxiv.2609.02472","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.02472","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.02472","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.02472","pdf_url":"https://arxiv.org/pdf/2609.02472","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7207572383.pdf","grobid_xml":"https://content.openalex.org/works/W7207572383.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1554936282","https://openalex.org/W1839514714","https://openalex.org/W1970167278","https://openalex.org/W1973203945","https://openalex.org/W1998590948","https://openalex.org/W1999142898","https://openalex.org/W2031907903","https://openalex.org/W2040168333","https://openalex.org/W2042450316","https://openalex.org/W2078408258","https://openalex.org/W2095296164","https://openalex.org/W2095669769","https://openalex.org/W2119161315","https://openalex.org/W2128559058","https://openalex.org/W2130580255","https://openalex.org/W2155117012","https://openalex.org/W2517766377","https://openalex.org/W3035288981","https://openalex.org/W3035359832","https://openalex.org/W3081693328","https://openalex.org/W3164470947","https://openalex.org/W4225675122","https://openalex.org/W4394671045","https://openalex.org/W4404450544","https://openalex.org/W4407632794","https://openalex.org/W4414988248","https://openalex.org/W4414990398","https://openalex.org/W4415309391","https://openalex.org/W6948387781","https://openalex.org/W6966946694"],"related_works":["https://openalex.org/W7207739820","https://openalex.org/W4414988248","https://openalex.org/W4365600308","https://openalex.org/W1994053643","https://openalex.org/W2069667837","https://openalex.org/W7095987249","https://openalex.org/W2952228902","https://openalex.org/W7095767418","https://openalex.org/W1979217711","https://openalex.org/W2011989171"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,23,45,60,64,69,78,86,105,109],"partition":[3,25],"functions":[4],"of":[5,27,44,55,63,88,104,112],"Wess--Zumino--Witten":[6],"(WZW)":[7],"models":[8,114],"with":[9,59,85,115],"compact":[10],"connected":[11,117],"simple":[12],"Lie":[13],"group":[14],"manifolds":[15],"that":[16],"are":[17],"not":[18],"simply":[19],"connected.":[20],"Starting":[21],"from":[22],"modular-invariant":[24],"function":[26],"Felder--Gaw\u0119dzki--Kupiainen":[28],"(FGK),":[29],"we":[30],"derive":[31],"a":[32,53,101],"localization":[33,43,111],"formula,":[34],"which":[35],"can":[36],"also":[37],"be":[38],"obtained":[39],"directly":[40],"by":[41,74,93],"supersymmetric":[42,47],"corresponding":[46],"WZW":[48,113],"model.":[49],"Our":[50],"results":[51,99],"reveal":[52],"variety":[54],"topological":[56,106],"effects":[57],"associated":[58,84],"nontrivial":[61],"topology":[62],"target":[65,118],"group.":[66],"In":[67],"particular,":[68],"Wess--Zumino":[70],"amplitude":[71],"is":[72],"governed":[73],"FGK":[75],"cocycles,":[76],"while":[77],"fermion":[79],"Pfaffians":[80],"exhibit":[81],"global":[82],"anomalies":[83],"holonomies":[87],"Pfaffian":[89],"line":[90],"bundles,":[91],"captured":[92],"relative":[94],"Rochlin":[95],"invariants.":[96],"Together,":[97],"these":[98],"provide":[100],"unified":[102],"description":[103],"contributions":[107],"to":[108],"semiclassical":[110],"non-simply":[116],"groups.":[119]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-04T00:00:00"}