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s00220-019-03504-6.pdf | 490.24 kB | Adobe PDF | 見る/開く |
タイトル: | Modularity of Relatively Rational Vertex Algebras and Fusion Rules of Principal Affine W-Algebras |
著者: | Arakawa, Tomoyuki https://orcid.org/0000-0002-9020-3498 (unconfirmed) van Ekeren, Jethro |
著者名の別形: | 荒川, 知幸 |
発行日: | Aug-2019 |
出版者: | Springer Nature |
誌名: | Communications in Mathematical Physics |
巻: | 370 |
号: | 1 |
開始ページ: | 205 |
終了ページ: | 247 |
抄録: | We 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. |
著作権等: | 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/s00220-019-03504-6 The 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'. This 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。 |
URI: | http://hdl.handle.net/2433/276287 |
DOI(出版社版): | 10.1007/s00220-019-03504-6 |
出現コレクション: | 学術雑誌掲載論文等 |
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