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dc.contributor.author | Arakawa, Tomoyuki | en |
dc.contributor.author | Creutzig, Thomas | en |
dc.contributor.author | Feigin, Boris | en |
dc.contributor.alternative | 荒川, 知幸 | ja |
dc.date.accessioned | 2022-07-14T04:39:08Z | - |
dc.date.available | 2022-07-14T04:39:08Z | - |
dc.date.issued | 2022 | - |
dc.identifier.uri | http://hdl.handle.net/2433/274908 | - |
dc.description.abstract | In this work, we introduce Urod algebras associated to simply laced Lie algebras as well as the concept of translation of W-algebras. Both results are achieved by showing that the quantum Hamiltonian reduction commutes with tensoring with integrable representations; that is, for V and L an affine vertex algebra and an integrable affine vertex algebra associated with g, we have the vertex algebra isomorphism H⁰[DS, f](V⊗L)≅H⁰[DS, f] ((V)⊗L, where in the left-hand-side the Drinfeld–Sokolov reduction is taken with respect to the diagonal action of ˆg on V⊗L. The proof is based on some new construction of automorphisms of vertex algebras, which may be of independent interest. As corollaries, we get fusion categories of modules of many exceptional W-algebras, and we can construct various corner vertex algebras. A major motivation for this work is that Urod algebras of type A provide a representation theoretic interpretation of the celebrated Nakajima–Yoshioka blowup equations for the moduli space of framed torsion free sheaves on ℂℙ² of an arbitrary rank. | en |
dc.language.iso | eng | - |
dc.publisher | Cambridge University Press (CUP) | en |
dc.rights | © The Author(s), 2022. Published by Cambridge University Press. | en |
dc.rights | This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence, which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited. | en |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | - |
dc.subject | 17B65: Infinite-dimensional Lie (super)algebras | en |
dc.subject | 17B69: Vertex operators; vertex operator algebras and related structures | en |
dc.title | Urod algebras and Translation of W-algebras | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.jtitle | Forum of Mathematics, Sigma | en |
dc.identifier.volume | 10 | - |
dc.relation.doi | 10.1017/fms.2022.15 | - |
dc.textversion | publisher | - |
dc.identifier.artnum | e33 | - |
dcterms.accessRights | open access | - |
datacite.awardNumber | 17H01086 | - |
datacite.awardNumber | 17K18724 | - |
datacite.awardNumber | 19K21828 | - |
datacite.awardNumber | 21H04993 | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17H01086/ | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17K18724/ | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19K21828/ | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21H04993/ | - |
dc.identifier.eissn | 2050-5094 | - |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName | 日本学術振興会 | ja |
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 |
jpcoar.awardTitle | 頂点代数と4次元超対称性場の量子論 | ja |
jpcoar.awardTitle | 新時代の頂点代数の表現論 | ja |
出現コレクション: | 学術雑誌掲載論文等 |
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