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dc.contributor.author | Arakawa, Tomoyuki | en |
dc.contributor.author | van Ekeren, Jethro | en |
dc.contributor.alternative | 荒川, 知幸 | ja |
dc.date.accessioned | 2023-10-02T06:39:52Z | - |
dc.date.available | 2023-10-02T06:39:52Z | - |
dc.date.issued | 2023-07-07 | - |
dc.identifier.uri | http://hdl.handle.net/2433/285245 | - |
dc.description.abstract | First, we prove the Kac–Wakimoto conjecture on modular invariance of characters of exceptional affine $mathcal {W}$-algebras. In fact more generally we prove modular invariance of characters of all lisse $mathcal {W}$-algebras obtained through Hamiltonian reduction of admissible affine vertex algebras. Second, we prove the rationality of a large subclass of these $mathcal {W}$-algebras, which includes all exceptional $mathcal {W}$-algebras of type $mathcal {A}$ and lisse subregular $mathcal {W}$-algebras in simply laced types. Third, for the latter cases we compute $mathcal {S}$-matrices and fusion rules. Our results provide the first examples of rational $mathcal {W}$-algebras associated with nonprincipal distinguished nilpotent elements, and the corresponding fusion rules are rather mysterious | en |
dc.language.iso | eng | - |
dc.publisher | European Mathematical Society - EMS - Publishing House GmbH | en |
dc.rights | © 2022 European Mathematical Society | en |
dc.rights | Published by EMS Press and licensed under a CC BY 4.0 license. | en |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | - |
dc.subject | Vertex algebras | en |
dc.subject | $mathcal {W}$-algebras | en |
dc.subject | fusion rules | en |
dc.subject | rational conformal field theory | en |
dc.subject | 17B69 | en |
dc.subject | 81R10 | en |
dc.subject | 17B67 | en |
dc.subject | 17B3 | en |
dc.title | Rationality and fusion rules of exceptional $mathcal {W}$-algebras | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.jtitle | Journal of the European Mathematical Society | en |
dc.identifier.volume | 25 | - |
dc.identifier.issue | 7 | - |
dc.identifier.spage | 2763 | - |
dc.identifier.epage | 2813 | - |
dc.relation.doi | 10.4171/jems/1250 | - |
dc.textversion | publisher | - |
dcterms.accessRights | open access | - |
datacite.awardNumber | 17H01086 | - |
datacite.awardNumber | 17K18724 | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17H01086/ | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17K18724/ | - |
dc.identifier.pissn | 1435-9855 | - |
dc.identifier.eissn | 1435-9863 | - |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.awardTitle | W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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