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dc.contributor.authorArakawa, Tomoyukien
dc.contributor.authorCreutzig, Thomasen
dc.contributor.authorLinshaw, Andrew R.en
dc.contributor.alternative荒川, 知幸ja
dc.date.accessioned2022-09-15T08:17:36Z-
dc.date.available2022-09-15T08:17:36Z-
dc.date.issued2019-10-
dc.identifier.urihttp://hdl.handle.net/2433/276288-
dc.description.abstractWe prove the long-standing conjecture on the coset construction of the minimal series principal W-algebras of ADE types in full generality. We do this by first establishing Feigin’s conjecture on the coset realization of the universal principal W-algebras, which are not necessarily simple. As consequences, the unitarity of the “discrete series” of principal W-algebras is established, a second coset realization of rational and unitary W-algebras of type A and D are given and the rationality of Kazama–Suzuki coset vertex superalgebras is derived.en
dc.language.isoeng-
dc.publisherSpringer Natureen
dc.rightsThis version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00222-019-00884-3en
dc.rightsThe full-text file will be made open to the public on 12 April 2020 in accordance with publisher's 'Terms and Conditions for Self-Archiving'.en
dc.rightsThis is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。en
dc.titleW-algebras as coset vertex algebrasen
dc.typejournal article-
dc.type.niitypeJournal Article-
dc.identifier.jtitleInventiones mathematicaeen
dc.identifier.volume218-
dc.identifier.issue1-
dc.identifier.spage145-
dc.identifier.epage195-
dc.relation.doi10.1007/s00222-019-00884-3-
dc.textversionauthor-
dcterms.accessRightsopen access-
datacite.date.available2020-04-12-
datacite.awardNumber17H01086-
datacite.awardNumber17K18724-
datacite.awardNumber.urihttps://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17H01086/-
datacite.awardNumber.urihttps://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17K18724/-
dc.identifier.pissn0020-9910-
dc.identifier.eissn1432-1297-
jpcoar.funderName日本学術振興会ja
jpcoar.funderName日本学術振興会ja
jpcoar.awardTitleW代数とその応用ja
jpcoar.awardTitleクラスSカイラル代数とシンプレクティック幾何ja
出現コレクション:学術雑誌掲載論文等

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