{"id":"https://openalex.org/W7220730374","doi":"https://doi.org/10.48550/arxiv.2610.04065","title":"Wilson line defect indices for M2-brane SCFTs","display_name":"Wilson line defect indices for M2-brane SCFTs","publication_year":2026,"publication_date":"2026-10-02","ids":{"openalex":"https://openalex.org/W7220730374","doi":"https://doi.org/10.48550/arxiv.2610.04065"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.04065","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.04065","pdf_url":"https://arxiv.org/pdf/2610.04065","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":null,"license_id":null,"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/2610.04065","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107790764","display_name":"Hirotaka Hayashi","orcid":"https://orcid.org/0009-0006-6683-1124","observed_orcids":["https://orcid.org/0009-0006-6683-1124"]},"institutions":[{"id":"https://openalex.org/I1314466530","display_name":"Tokai University","ror":"https://ror.org/01p7qe739","country_code":"JP","type":"education","lineage":["https://openalex.org/I1314466530"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hayashi, Hirotaka","raw_affiliation_strings":["Department of Physics , School of Science , Tokai University , 4-1-1 Kitakaname , Hiratsuka-shi , Kanagawa 259-1292 , Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , School of Science , Tokai University , 4-1-1 Kitakaname , Hiratsuka-shi , Kanagawa 259-1292 , Japan","institution_ids":["https://openalex.org/I1314466530"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035844989","display_name":"Tomoki Nosaka","orcid":"https://orcid.org/0000-0002-1517-0526","observed_orcids":["https://orcid.org/0000-0002-1517-0526"]},"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":false,"raw_author_name":"Nosaka, Tomoki","raw_affiliation_strings":["Fudan Center for Mathematics and Interdisciplinary Study , Fudan University , Shanghai 200433 , China","Shanghai Institute for Mathematics and Interdisciplinary Sciences , Block A , International Innovation Plaza , No. 657 Songhu Road , Yangpu District , Shanghai , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fudan Center for Mathematics and Interdisciplinary Study , Fudan University , Shanghai 200433 , China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"Shanghai Institute for Mathematics and Interdisciplinary Sciences , Block A , International Innovation Plaza , No. 657 Songhu Road , Yangpu District , Shanghai , China","institution_ids":["https://openalex.org/I4403928334"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052626683","display_name":"Tadashi Okazaki","orcid":"https://orcid.org/0000-0002-7705-7852","observed_orcids":["https://orcid.org/0000-0002-7705-7852"]},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Okazaki, Tadashi","raw_affiliation_strings":["School of Physics and Shing-Tung Yau Center , Southeast University , Yifu Architecture Building , No.2 Sipailou , Xuanwu district , Nanjing , Jiangsu , 210096 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics and Shing-Tung Yau Center , Southeast University , Yifu Architecture Building , No.2 Sipailou , Xuanwu district , Nanjing , Jiangsu , 210096 , China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"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":0.9901999831199646,"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":0.9901999831199646,"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":0.005799999926239252,"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":0.000699999975040555,"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/recurrence-relations","display_name":"recurrence relations","score":0.8970000147819519}],"concepts":[{"id":"https://openalex.org/C9342510","wikidata":"https://www.wikidata.org/wiki/Q25406","display_name":"Coulomb","level":3,"score":0.6574000120162964},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.49540001153945923},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.48829999566078186},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47360000014305115},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.46889999508857727},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.44940000772476196},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.4456000030040741},{"id":"https://openalex.org/C158129726","wikidata":"https://www.wikidata.org/wiki/Q402","display_name":"Higgs boson","level":2,"score":0.4268999993801117},{"id":"https://openalex.org/C40976572","wikidata":"https://www.wikidata.org/wiki/Q2330873","display_name":"Gauge (firearms)","level":2,"score":0.3982999920845032},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.38519999384880066},{"id":"https://openalex.org/C2776482091","wikidata":"https://www.wikidata.org/wiki/Q206552","display_name":"Wilson loop","level":3,"score":0.3714999854564667},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.3646000027656555},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.35350000858306885},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.32510000467300415},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.31850001215934753},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.31850001215934753},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.30799999833106995},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.2994000017642975},{"id":"https://openalex.org/C75432250","wikidata":"https://www.wikidata.org/wiki/Q29654355","display_name":"Real line","level":2,"score":0.2953000068664551},{"id":"https://openalex.org/C134121241","wikidata":"https://www.wikidata.org/wiki/Q899301","display_name":"Yield (engineering)","level":2,"score":0.28439998626708984},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.27309998869895935},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2727000117301941},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.2712000012397766},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.26600000262260437},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.2603999972343445},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.25270000100135803},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.25110000371932983}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.04065","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.04065","pdf_url":"https://arxiv.org/pdf/2610.04065","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2610.04065","doi":"https://doi.org/10.48550/arxiv.2610.04065","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.04065","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.04065","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.04065","pdf_url":"https://arxiv.org/pdf/2610.04065","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G8929238806","display_name":null,"funder_award_id":"4007012317","funder_id":"https://openalex.org/F4320324856","funder_display_name":"Southeast University"}],"funders":[{"id":"https://openalex.org/F4320324856","display_name":"Southeast University","ror":"https://ror.org/04ct4d772"},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220730374.pdf","grobid_xml":"https://content.openalex.org/works/W7220730374.grobid-xml"},"referenced_works_count":52,"referenced_works":["https://openalex.org/W1488870392","https://openalex.org/W1733618648","https://openalex.org/W1901661513","https://openalex.org/W1906166394","https://openalex.org/W1969398018","https://openalex.org/W1992739883","https://openalex.org/W2001995176","https://openalex.org/W2005999031","https://openalex.org/W2007907830","https://openalex.org/W2011546725","https://openalex.org/W2014470667","https://openalex.org/W2026940784","https://openalex.org/W2030120928","https://openalex.org/W2033426077","https://openalex.org/W2037693987","https://openalex.org/W2038027860","https://openalex.org/W2054731989","https://openalex.org/W2055258505","https://openalex.org/W2063282092","https://openalex.org/W2079740443","https://openalex.org/W2082863928","https://openalex.org/W2103189831","https://openalex.org/W2121740619","https://openalex.org/W2131072658","https://openalex.org/W2147882001","https://openalex.org/W2171335381","https://openalex.org/W2468269652","https://openalex.org/W2944187214","https://openalex.org/W2949998248","https://openalex.org/W2965724388","https://openalex.org/W2971038531","https://openalex.org/W3003180306","https://openalex.org/W3016111724","https://openalex.org/W3093865596","https://openalex.org/W4213168757","https://openalex.org/W4229055917","https://openalex.org/W4282922881","https://openalex.org/W4399657838","https://openalex.org/W4399701741","https://openalex.org/W4400550839","https://openalex.org/W4401377026","https://openalex.org/W4401377244","https://openalex.org/W4402696346","https://openalex.org/W4402824163","https://openalex.org/W4402915119","https://openalex.org/W4403129002","https://openalex.org/W4403952597","https://openalex.org/W4412036033","https://openalex.org/W4414448886","https://openalex.org/W4415897733","https://openalex.org/W6929325934","https://openalex.org/W7128512272"],"related_works":["https://openalex.org/W4402696346","https://openalex.org/W4414448886","https://openalex.org/W2468269652","https://openalex.org/W7169601678","https://openalex.org/W4412036033","https://openalex.org/W4282922881","https://openalex.org/W2592297930","https://openalex.org/W4317465421","https://openalex.org/W4392575471","https://openalex.org/W4387740378"],"abstract_inverted_index":{"We":[0,47],"investigate":[1],"line":[2,17,37,107,129],"defect":[3,18,26,38,108,130],"Coulomb":[4,57,109],"and":[5,58,67,120,143,147],"Higgs":[6,59],"indices":[7,19,27,31,40,54,110,131],"in":[8,41,55,111],"3d":[9,113],"$\\mathcal{N}\\ge":[10],"4$":[11],"supersymmetric":[12],"gauge":[13,79],"theories.":[14,122,149],"The":[15],"normalized":[16],"defined":[20],"by":[21,135],"ratios":[22],"of":[23,87],"the":[24,29,36,42,62,73,77,88,95,112],"decorated":[25],"to":[28],"ordinary":[30],"yield":[32],"well-defined":[33],"integer":[34],"values,":[35],"Witten":[39,53],"unit":[43],"R-charge":[44],"fugacity":[45],"limit.":[46],"propose":[48],"general":[49],"formulae":[50],"for":[51,61,105],"these":[52],"both":[56,71],"limits":[60],"theories":[63,119,146],"without":[64],"Chern-Simons":[65],"terms,":[66],"we":[68,91,99],"show":[69],"that":[70,126],"count":[72],"states":[74],"invariant":[75],"under":[76],"residual":[78],"group":[80],"left":[81],"unbroken":[82],"at":[83],"a":[84],"generic":[85],"point":[86],"branch,":[89],"which":[90],"read":[92],"off":[93],"from":[94],"vacuum":[96],"equations.":[97],"Furthermore,":[98],"find":[100],"powerful":[101],"algebraic":[102],"recursion":[103],"relations":[104,124],"Wilson":[106],"SCFTs":[114],"describing":[115],"M2-branes,":[116],"including":[117],"ADHM-type":[118,145],"ABJ(M)":[121,148],"These":[123],"imply":[125],"higher":[127],"rank":[128,137],"are":[132],"recursively":[133],"determined":[134],"lower":[136],"data":[138],"across":[139],"$U(N)$,":[140],"$USp(2N)$,":[141],"$SO(2N)$":[142],"$SO(2N+1)$":[144]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-07T00:00:00"}
