{"id":"https://openalex.org/W5903467","doi":null,"title":"Extension of Wess-Zumino-Witten Model to 2n Dimensions and n-Toroidal Lie Algebra (Topological Field Theory and Related Topics)","display_name":"Extension of Wess-Zumino-Witten Model to 2n Dimensions and n-Toroidal Lie Algebra (Topological Field Theory and Related Topics)","publication_year":1999,"publication_date":"1999-03-01","ids":{"openalex":"https://openalex.org/W5903467","mag":"5903467"},"language":"en","primary_location":{"id":"mag:1607442718","doi":null,"is_oa":false,"landing_page_url":"http://ci.nii.ac.jp/naid/110000967302","pdf_url":null,"source":{"id":"https://openalex.org/S4306549803","display_name":"\u6570\u7406\u89e3\u6790\u7814\u7a76\u6240\u8b1b\u7a76\u9332","issn_l":"1880-2818","issn":["1880-2818","2760-7046"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"\u6570\u7406\u89e3\u6790\u7814\u7a76\u6240\u8b1b\u7a76\u9332","raw_type":null},"parent_works":[],"lineage":["https://openalex.org/W5903467"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://repository.kulib.kyoto-u.ac.jp/bitstreams/edae5ec3-d577-452f-adb9-3076b29d7262/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111783923","display_name":"Takeo Inami","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"\u6b66\u592b \u7a32\u898b","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5111783923"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0017452,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1086","issue":null,"first_page":"1","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.6528000235557556,"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":0.6528000235557556,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.23970000445842743,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.031599998474121094,"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/wzw-models","display_name":"Wess-Zumino-Witten model","score":0.9980000257492065},{"id":"https://openalex.org/keywords/higher-dimensional-generalization","display_name":"higher-dimensional generalization","score":0.6449999809265137},{"id":"https://openalex.org/keywords/toroidal-lie-algebras","display_name":"toroidal Lie algebras","score":0.8510000109672546},{"id":"https://openalex.org/keywords/infinite-dimensional-symmetries","display_name":"infinite-dimensional symmetry","score":0.9599999785423279},{"id":"https://openalex.org/keywords/topological-quantum-field-theory","display_name":"topological field theory","score":0.8899999856948853}],"concepts":[{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6989195942878723},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5693974494934082},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.529676079750061},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.5012264251708984},{"id":"https://openalex.org/C15001198","wikidata":"https://www.wikidata.org/wiki/Q3241394","display_name":"Toroid","level":3,"score":0.4681936204433441},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4676344692707062},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3506969213485718},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.34323251247406006},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3093954920768738},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15342262387275696},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14275240898132324},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11085349321365356},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"mag:1607442718","doi":null,"is_oa":false,"landing_page_url":"http://ci.nii.ac.jp/naid/110000967302","pdf_url":null,"source":{"id":"https://openalex.org/S4306549803","display_name":"\u6570\u7406\u89e3\u6790\u7814\u7a76\u6240\u8b1b\u7a76\u9332","issn_l":"1880-2818","issn":["1880-2818","2760-7046"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"\u6570\u7406\u89e3\u6790\u7814\u7a76\u6240\u8b1b\u7a76\u9332","raw_type":null},{"id":"pmh:oai:irdb.nii.ac.jp:01221:0000031397","doi":null,"is_oa":true,"landing_page_url":"https://repository.kulib.kyoto-u.ac.jp/bitstreams/edae5ec3-d577-452f-adb9-3076b29d7262/download","pdf_url":"https://repository.kulib.kyoto-u.ac.jp/bitstreams/edae5ec3-d577-452f-adb9-3076b29d7262/download","source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"\u6570\u7406\u89e3\u6790\u7814\u7a76\u6240\u8b1b\u7a76\u9332","raw_type":"departmental bulletin paper"},{"id":"pmh:oai:repository.kulib.kyoto-u.ac.jp:2433/62824","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/2433/62824","pdf_url":null,"source":{"id":"https://openalex.org/S4306401454","display_name":"Kyoto University Research Information Repository (Kyoto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I22299242","host_organization_name":"Kyoto University","host_organization_lineage":["https://openalex.org/I22299242"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Departmental Bulletin Paper"},{"id":"mag:5903467","doi":null,"is_oa":false,"landing_page_url":"https://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/62824/1/1086-1.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306549803","display_name":"\u6570\u7406\u89e3\u6790\u7814\u7a76\u6240\u8b1b\u7a76\u9332","issn_l":"1880-2818","issn":["1880-2818","2760-7046"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"\u6570\u7406\u89e3\u6790\u7814\u7a76\u6240\u8b1b\u7a76\u9332","raw_type":null}],"best_oa_location":{"id":"pmh:oai:irdb.nii.ac.jp:01221:0000031397","doi":null,"is_oa":true,"landing_page_url":"https://repository.kulib.kyoto-u.ac.jp/bitstreams/edae5ec3-d577-452f-adb9-3076b29d7262/download","pdf_url":"https://repository.kulib.kyoto-u.ac.jp/bitstreams/edae5ec3-d577-452f-adb9-3076b29d7262/download","source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"\u6570\u7406\u89e3\u6790\u7814\u7a76\u6240\u8b1b\u7a76\u9332","raw_type":"departmental bulletin paper"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W5903467.pdf","grobid_xml":"https://content.openalex.org/works/W5903467.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4243936198","https://openalex.org/W1993645220","https://openalex.org/W2071760534","https://openalex.org/W7098343320","https://openalex.org/W7099261290","https://openalex.org/W2331889201","https://openalex.org/W433424249","https://openalex.org/W3035254073","https://openalex.org/W1964748434","https://openalex.org/W2003513084"],"abstract_inverted_index":{"A":[0],"4-dimensional":[1],"(4D)":[2],"extension":[3],"of":[4,32,35],"the":[5,33,36],"$2\\mathrm{D}$":[6],"$\\mathrm{w}\\mathrm{e}\\mathrm{S}\\mathrm{S}-\\mathrm{z}_{\\mathrm{u}\\min":[7],"0}$":[8],"-Witten":[9],"model":[10,22,37],"has":[11,23],"a":[12],"few":[13],"remarkable":[14],"properties.In":[15],"particular,":[16],"we":[17],"have":[18],"shown":[19],"that":[20],"this":[21],"an":[24],"infinite-dimensional":[25],"symmetry":[26],"which":[27],"generates":[28],"2-toroidal":[29],"Lie":[30],"algebra.Generalization":[31],"construction":[34],"to":[38],"higher":[39],"dimensions":[40],"$D=2n$":[41],"is":[42],"also":[43],"given.":[44]},"counts_by_year":[],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2016-06-24T00:00:00"}