{"id":"https://openalex.org/W7207832962","doi":"https://doi.org/10.48550/arxiv.2609.02437","title":"An Infinite Family of Non-Rational VOAs from Strongly Coupled 4d Higgsless SCFTs","display_name":"An Infinite Family of Non-Rational VOAs from Strongly Coupled 4d Higgsless SCFTs","publication_year":2026,"publication_date":"2026-09-02","ids":{"openalex":"https://openalex.org/W7207832962","doi":"https://doi.org/10.48550/arxiv.2609.02437"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.02437","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.02437","pdf_url":"https://arxiv.org/pdf/2609.02437","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/2609.02437","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005243643","display_name":"Hongliang Jiang","orcid":"https://orcid.org/0000-0002-3321-449X","observed_orcids":["https://orcid.org/0000-0002-3321-449X"]},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]},{"id":"https://openalex.org/I4403928334","display_name":"Shanghai Institute for Mathematics and Interdisciplinary Sciences","ror":"https://ror.org/0489cd473","country_code":"CN","type":"government","lineage":["https://openalex.org/I4403928334"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiang, Hongliang","raw_affiliation_strings":["Center for Mathematics and Interdisciplinary Sciences , Fudan University , Shanghai 200433 , China and","Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS) , Shanghai 200433 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Mathematics and Interdisciplinary Sciences , Fudan University , Shanghai 200433 , China and","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS) , Shanghai 200433 , China","institution_ids":["https://openalex.org/I4403928334"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005243643"],"corresponding_institution_ids":["https://openalex.org/I24943067","https://openalex.org/I4403928334"],"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":0.8715999722480774,"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":0.8715999722480774,"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":0.12330000102519989,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.00039999998989515007,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/vertex-operator-algebras","display_name":"vertex operator algebras","score":0.8489999771118164},{"id":"https://openalex.org/keywords/n-2-superconformal-field-theories","display_name":"N=2 superconformal field theories","score":0.8159999847412109},{"id":"https://openalex.org/keywords/schur-index","display_name":"Schur index","score":0.9070000052452087},{"id":"https://openalex.org/keywords/trace-anomaly","display_name":"trace anomaly","score":0.7850000262260437}],"concepts":[{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.589900016784668},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.5654000043869019},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.5447999835014343},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5313000082969666},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.5045999884605408},{"id":"https://openalex.org/C158129726","wikidata":"https://www.wikidata.org/wiki/Q402","display_name":"Higgs boson","level":2,"score":0.5013999938964844},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4932999908924103},{"id":"https://openalex.org/C191413488","wikidata":"https://www.wikidata.org/wiki/Q1892554","display_name":"Operator algebra","level":2,"score":0.47540000081062317},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.45649999380111694},{"id":"https://openalex.org/C54613284","wikidata":"https://www.wikidata.org/wiki/Q1191271","display_name":"Conformal field theory","level":3,"score":0.45190000534057617},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.44119998812675476},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.3675999939441681},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.367000013589859},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.3628000020980835},{"id":"https://openalex.org/C199879729","wikidata":"https://www.wikidata.org/wiki/Q205140","display_name":"Infinite set","level":3,"score":0.33149999380111694},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3314000070095062},{"id":"https://openalex.org/C2778681612","wikidata":"https://www.wikidata.org/wiki/Q15427593","display_name":"Minimal models","level":2,"score":0.32510000467300415},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3077000081539154},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28999999165534973},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.2653999924659729},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2651999890804291}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.02437","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.02437","pdf_url":"https://arxiv.org/pdf/2609.02437","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.2609.02437","doi":"https://doi.org/10.48550/arxiv.2609.02437","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.02437","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:2609.02437","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.02437","pdf_url":"https://arxiv.org/pdf/2609.02437","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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7207832962.pdf","grobid_xml":"https://content.openalex.org/works/W7207832962.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1582154532","https://openalex.org/W1586945242","https://openalex.org/W1830930605","https://openalex.org/W2030933659","https://openalex.org/W2032273965","https://openalex.org/W2097674003","https://openalex.org/W2107192253","https://openalex.org/W2289291993","https://openalex.org/W2533343120","https://openalex.org/W2621648424","https://openalex.org/W2736640376","https://openalex.org/W2939371516","https://openalex.org/W2950837888","https://openalex.org/W2963765574","https://openalex.org/W3113586057","https://openalex.org/W3161449257","https://openalex.org/W4390091564","https://openalex.org/W4399870958","https://openalex.org/W6948018457","https://openalex.org/W7168206535"],"related_works":["https://openalex.org/W2963646887","https://openalex.org/W7133334604","https://openalex.org/W7168206535","https://openalex.org/W3211532174","https://openalex.org/W2942825205","https://openalex.org/W7214072364","https://openalex.org/W7208758844","https://openalex.org/W2914435138","https://openalex.org/W4416912941","https://openalex.org/W2621648424"],"abstract_inverted_index":{"We":[0,27,61,159],"study":[1],"an":[2,42,150,154],"infinite":[3,43],"family":[4,44,167],"of":[5,45,57,67,94,100,110,116,135,142,157],"strongly":[6,238],"coupled":[7],"four-dimensional":[8,75,189],"$\\mathcal":[9,40,143,204],"N=2$":[10],"superconformal":[11],"field":[12],"theories":[13,113],"(SCFTs)":[14],"distinguished":[15],"by":[16],"a":[17,51,107,162,195,229],"trivial":[18,173],"Higgs":[19,174],"branch,":[20],"known":[21],"as":[22],"the":[23,37,74,82,87,91,95,98,101,111,123,131,136,165,188,201,221],"$(A_2,D_{3m+1})$":[24,112,137],"Argyre-Douglas":[25],"theories.":[26],"propose":[28],"that":[29,130,141,200],"their":[30],"associated":[31],"vertex":[32,47,242],"operator":[33,48,243],"algebras":[34,39],"(VOAs)":[35],"are":[36],"doublet":[38,202],"A(4m+2)$,":[41],"non-rational":[46,241],"superalgebras":[49],"with":[50,140],"remarkably":[52],"simple":[53],"strong":[54],"generating":[55],"set":[56],"only":[58],"three":[59],"fields.":[60],"provide":[62],"several":[63],"highly":[64],"nontrivial":[65],"checks":[66],"this":[68],"proposal.":[69],"In":[70],"particular,":[71],"we":[72,128,197,216],"reproduce":[73],"conformal":[76,190],"anomalies":[77,191],"$a$":[78],"and":[79,84,97,153,176,215,223,237],"$c$":[80],"from":[81],"VOA":[83,203],"analytically":[85],"prove":[86],"exact":[88],"equality":[89],"between":[90,232],"Schur":[92,133,222],"index":[93,134],"SCFT":[96],"supercharacter":[99],"VOA.":[102],"A":[103,180],"key":[104],"ingredient":[105],"is":[106,184,206],"diagonal-gauging":[108,178],"realization":[109],"in":[114],"terms":[115],"two":[117],"simpler":[118],"building":[119],"blocks,":[120],"which":[121,187],"makes":[122],"Schur-index":[124],"computation":[125],"tractable.":[126],"Remarkably,":[127],"find":[129],"resulting":[132],"theory":[138],"coincides":[139],"N=4$":[144],"$SU(2)$":[145],"Super-Yang-Mills":[146],"theory,":[147],"up":[148],"to":[149,164],"overall":[151],"prefactor":[152],"appropriate":[155],"identification":[156],"fugacities.":[158],"also":[160,198],"discuss":[161,217],"generalization":[163],"two-parameter":[166],"$(A_{2s},D_{(2s+1)m+1})$,":[168],"whose":[169],"members":[170],"likewise":[171],"have":[172],"branches":[175],"admit":[177],"realizations.":[179],"particularly":[181],"interesting":[182],"subfamily":[183],"$(A_{2s},D_{2s+2})$,":[185],"for":[186,210,220],"coincide,":[192],"$a=c$.":[193],"As":[194],"byproduct,":[196],"show":[199],"A(4m+2)$":[205],"not":[207],"classically":[208],"free":[209],"positive":[211],"integer":[212],"$m":[213],"$,":[214],"its":[218],"implications":[219],"Macdonald":[224],"indices.":[225],"Our":[226],"results":[227],"reveal":[228],"systematic":[230],"connection":[231],"Higgsless":[233],"SCFTs,":[234],"diagonal":[235],"gauging,":[236],"finite":[239],"but":[240],"algebras.":[244]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-04T00:00:00"}
