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dc.contributor.authorArakawa, Tomoyukien
dc.contributor.authorvan Ekeren, Jethroen
dc.contributor.alternative荒川, 知幸ja
dc.date.accessioned2022-09-15T08:17:28Z-
dc.date.available2022-09-15T08:17:28Z-
dc.date.issued2019-08-
dc.identifier.urihttp://hdl.handle.net/2433/276287-
dc.description.abstractWe study modularity of the characters of a vertex (super)algebra equipped with a family of conformal structures. Along the way we introduce the notions of rationality and cofiniteness relative to such a family. We apply the results to determine modular transformations of trace functions on admissible modules over affine Kac–Moody algebras and, via BRST reduction, trace functions on minimal series representations of principal affine W-algebras.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/s00220-019-03504-6en
dc.rightsThe full-text file will be made open to the public on 1 January 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.titleModularity of Relatively Rational Vertex Algebras and Fusion Rules of Principal Affine W-Algebrasen
dc.typejournal article-
dc.type.niitypeJournal Article-
dc.identifier.jtitleCommunications in Mathematical Physicsen
dc.identifier.volume370-
dc.identifier.issue1-
dc.identifier.spage205-
dc.identifier.epage247-
dc.relation.doi10.1007/s00220-019-03504-6-
dc.textversionauthor-
dcterms.accessRightsopen access-
datacite.date.available2020-07-01-
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.pissn0010-3616-
dc.identifier.eissn1432-0916-
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
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