{"id":"https://openalex.org/W9037404","doi":"https://doi.org/10.1090/pspum/093/01569","title":"Integral pentagon relations for 3d superconformal indices","display_name":"Integral pentagon relations for 3d superconformal indices","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W9037404","doi":"https://doi.org/10.1090/pspum/093/01569","mag":"9037404"},"language":"en","primary_location":{"id":"doi:10.1090/pspum/093/01569","doi":"https://doi.org/10.1090/pspum/093/01569","is_oa":false,"landing_page_url":"https://doi.org/10.1090/pspum/093/01569","pdf_url":null,"source":{"id":"https://openalex.org/S4210224528","display_name":"Proceedings of symposia in pure mathematics","issn_l":"0082-0717","issn":["0082-0717","2324-707X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1"],"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of Symposia in Pure Mathematics","raw_type":"other"},"volume":{"id":"https://openalex.org/W2294366266","display_name":"String-Math 2014"},"type":"other","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1412.2926","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047612066","display_name":"Ilmar B Gahramanov","orcid":"https://orcid.org/0000-0002-1665-5306","observed_orcids":["https://orcid.org/0000-0002-1665-5306"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ilmar Gahramanov","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5032429048","display_name":"Hjalmar Rosengren","orcid":"https://orcid.org/0000-0001-6817-9279","observed_orcids":["https://orcid.org/0000-0001-6817-9279"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hjalmar Rosengren","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"167","last_page":"175"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.8227999806404114,"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":0.8227999806404114,"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":0.10220000147819519,"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/T11428","display_name":"Advanced Mathematical Identities","score":0.03200000151991844,"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/superconformal-index","display_name":"superconformal index","score":0.9900000095367432},{"id":"https://openalex.org/keywords/three-dimensional-supersymmetric-field-theory","display_name":"three-dimensional supersymmetric field theory","score":0.9210000038146973},{"id":"https://openalex.org/keywords/pentagon-identity","display_name":"pentagon identity","score":0.8140000104904175},{"id":"https://openalex.org/keywords/pachner-moves","display_name":"Pachner moves","score":0.8259999752044678},{"id":"https://openalex.org/keywords/triangulated-3-manifolds","display_name":"triangulated 3-manifolds","score":0.8989999890327454},{"id":"https://openalex.org/keywords/dual-theory","display_name":"dual theory","score":0.8679999709129333},{"id":"https://openalex.org/keywords/integral-identities","display_name":"integral identities","score":0.9309999942779541}],"concepts":[{"id":"https://openalex.org/C2779965921","wikidata":"https://www.wikidata.org/wiki/Q127840","display_name":"Pentagon","level":2,"score":0.9152482748031616},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.580233097076416},{"id":"https://openalex.org/C197320386","wikidata":"https://www.wikidata.org/wiki/Q21028472","display_name":"Hypergeometric function","level":2,"score":0.5624574422836304},{"id":"https://openalex.org/C60400383","wikidata":"https://www.wikidata.org/wiki/Q17028407","display_name":"Hypergeometric identity","level":5,"score":0.5096664428710938},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.4962800145149231},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.49223771691322327},{"id":"https://openalex.org/C176671685","wikidata":"https://www.wikidata.org/wiki/Q730600","display_name":"Hypergeometric distribution","level":2,"score":0.47346845269203186},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.42764508724212646},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.41129976511001587},{"id":"https://openalex.org/C158241908","wikidata":"https://www.wikidata.org/wiki/Q109744257","display_name":"Generalized hypergeometric function","level":3,"score":0.27181631326675415},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2407257854938507},{"id":"https://openalex.org/C165175332","wikidata":"https://www.wikidata.org/wiki/Q5958021","display_name":"Hypergeometric function of a matrix argument","level":4,"score":0.20848172903060913},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17432036995887756},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1078624427318573},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/pspum/093/01569","doi":"https://doi.org/10.1090/pspum/093/01569","is_oa":false,"landing_page_url":"https://doi.org/10.1090/pspum/093/01569","pdf_url":null,"source":{"id":"https://openalex.org/S4210224528","display_name":"Proceedings of symposia in pure mathematics","issn_l":"0082-0717","issn":["0082-0717","2324-707X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1"],"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of Symposia in Pure Mathematics","raw_type":"other"},{"id":"pmh:oai:arXiv.org:1412.2926","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1412.2926","pdf_url":"https://arxiv.org/pdf/1412.2926","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1412.2926","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1412.2926","pdf_url":"https://arxiv.org/pdf/1412.2926","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":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W158824922","https://openalex.org/W1488870392","https://openalex.org/W1502988404","https://openalex.org/W1510783444","https://openalex.org/W1525072624","https://openalex.org/W1558456672","https://openalex.org/W1565807590","https://openalex.org/W1576502132","https://openalex.org/W1586466061","https://openalex.org/W1601919821","https://openalex.org/W1602683768","https://openalex.org/W1648664329","https://openalex.org/W1733618648","https://openalex.org/W1777475526","https://openalex.org/W1875615998","https://openalex.org/W1963513426","https://openalex.org/W1966042529","https://openalex.org/W1968073185","https://openalex.org/W1969398018","https://openalex.org/W1975017574","https://openalex.org/W1980510648","https://openalex.org/W1987390402","https://openalex.org/W1990274428","https://openalex.org/W1992242031","https://openalex.org/W2000750751","https://openalex.org/W2003856418","https://openalex.org/W2008052995","https://openalex.org/W2013902500","https://openalex.org/W2014470667","https://openalex.org/W2025387633","https://openalex.org/W2037693987","https://openalex.org/W2058592072","https://openalex.org/W2062544124","https://openalex.org/W2071797119","https://openalex.org/W2080681068","https://openalex.org/W2084913278","https://openalex.org/W2086101624","https://openalex.org/W2090102650","https://openalex.org/W2115101176","https://openalex.org/W2119786864","https://openalex.org/W2123906907","https://openalex.org/W2128282971","https://openalex.org/W2145744586","https://openalex.org/W2147383273","https://openalex.org/W2147882001","https://openalex.org/W2172236921","https://openalex.org/W2558612439","https://openalex.org/W2951649137","https://openalex.org/W3037502759","https://openalex.org/W3102142782","https://openalex.org/W3102600118","https://openalex.org/W3103087423","https://openalex.org/W3103109706","https://openalex.org/W3103998155","https://openalex.org/W3104279878","https://openalex.org/W3104614148","https://openalex.org/W3104940213"],"related_works":["https://openalex.org/W3103404772","https://openalex.org/W2467388197","https://openalex.org/W2123906907","https://openalex.org/W2053813362","https://openalex.org/W2037693987","https://openalex.org/W2789685858","https://openalex.org/W3102112428","https://openalex.org/W2155858217","https://openalex.org/W2086101624","https://openalex.org/W2058592072","https://openalex.org/W2056987487","https://openalex.org/W1963513426","https://openalex.org/W1777475526","https://openalex.org/W1488870392","https://openalex.org/W3104279878","https://openalex.org/W2949932229","https://openalex.org/W1988304602","https://openalex.org/W1974765525","https://openalex.org/W1733618648"],"abstract_inverted_index":{"The":[0],"superconformal":[1],"index":[2],"of":[3,14,22,36,43],"a":[4],"three-dimensional":[5],"supersymmetric":[6],"field":[7],"theory":[8],"can":[9,26,48],"be":[10,49],"expressed":[11],"in":[12],"terms":[13],"basic":[15,32],"hypergeometric":[16,33],"integrals.":[17,34],"By":[18],"comparing":[19],"the":[20,41,44,52],"indices":[21],"dual":[23],"theories,":[24],"one":[25],"find":[27],"new":[28],"integral":[29,38],"identities":[30,39],"for":[31,56],"Some":[35],"these":[37],"have":[40],"form":[42],"pentagon":[45],"identity":[46],"which":[47],"interpreted":[50],"as":[51],"2\u20133":[53],"Pachner":[54],"move":[55],"triangulated":[57],"3-manifolds.":[58]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":2}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}
