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Derived gluing construction of chiral algebras
http://hdl.handle.net/2237/0002001691
http://hdl.handle.net/2237/000200169143e8c103-b93b-4836-9b8f-bd95d9ecdb1c
名前 / ファイル | ライセンス | アクション |
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rev.pdf (496 KB)
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Item type | itemtype_ver1(1) | |||||||
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公開日 | 2021-12-08 | |||||||
タイトル | ||||||||
タイトル | Derived gluing construction of chiral algebras | |||||||
言語 | en | |||||||
著者 |
Yanagida, Shintarou
× Yanagida, Shintarou
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アクセス権 | ||||||||
アクセス権 | open access | |||||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||
権利 | ||||||||
言語 | en | |||||||
権利情報 | This 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/s11005-021-01394-1 | |||||||
キーワード | ||||||||
主題Scheme | Other | |||||||
主題 | dg vertex algebras | |||||||
キーワード | ||||||||
主題Scheme | Other | |||||||
主題 | BRST reduction | |||||||
キーワード | ||||||||
主題Scheme | Other | |||||||
主題 | dg vertex Poisson algebras | |||||||
キーワード | ||||||||
主題Scheme | Other | |||||||
主題 | Shifted Poisson structure | |||||||
キーワード | ||||||||
主題Scheme | Other | |||||||
主題 | Moore-Tachikawa symplectic varieties | |||||||
内容記述 | ||||||||
内容記述タイプ | Abstract | |||||||
内容記述 | We discuss the gluing construction of class S chiral algebras in derived setting. The gluing construction in non-derived setting was introduced by Arakawa to construct a family of vertex algebras of which the associated varieties give genus zero Moore–Tachikawa symplectic varieties. Motivated by the higher genus case, we introduce a dg vertex algebra version MTch of the category of Moore–Tachikawa symplectic varieties, where a morphism is given by a dg vertex algebra equipped with action of the universal affine vertex algebra, and composition of morphisms is given by the BRST reduction. We also show that the procedure taking the associated scheme gives a functor from MTch to the category MT of derived Moore–Tachikawa varieties, which would imply compatibility of gluing constructions in both categories. | |||||||
言語 | en | |||||||
出版者 | ||||||||
出版者 | Springer | |||||||
言語 | en | |||||||
言語 | ||||||||
言語 | eng | |||||||
資源タイプ | ||||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||
資源タイプ | journal article | |||||||
出版タイプ | ||||||||
出版タイプ | AM | |||||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||
関連情報 | ||||||||
関連タイプ | isVersionOf | |||||||
識別子タイプ | DOI | |||||||
関連識別子 | https://doi.org/10.1007/s11005-021-01394-1 | |||||||
収録物識別子 | ||||||||
収録物識別子タイプ | PISSN | |||||||
収録物識別子 | 0377-9017 | |||||||
書誌情報 |
en : Letters in Mathematical Physics 巻 111, 号 2, p. 51, 発行日 2021-04-18 |
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ファイル公開日 | ||||||||
日付 | 2022-04-18 | |||||||
日付タイプ | Available |