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タイトル: W-algebras as coset vertex algebras
著者: Arakawa, Tomoyuki  kyouindb  KAKEN_id  orcid https://orcid.org/0000-0002-9020-3498 (unconfirmed)
Creutzig, Thomas
Linshaw, Andrew R.
著者名の別形: 荒川, 知幸
発行日: Oct-2019
出版者: Springer Nature
誌名: Inventiones mathematicae
巻: 218
号: 1
開始ページ: 145
終了ページ: 195
抄録: We prove the long-standing conjecture on the coset construction of the minimal series principal W-algebras of ADE types in full generality. We do this by first establishing Feigin’s conjecture on the coset realization of the universal principal W-algebras, which are not necessarily simple. As consequences, the unitarity of the “discrete series” of principal W-algebras is established, a second coset realization of rational and unitary W-algebras of type A and D are given and the rationality of Kazama–Suzuki coset vertex superalgebras is derived.
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/s00222-019-00884-3
The full-text file will be made open to the public on 12 April 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/2433/276288
DOI(出版社版): 10.1007/s00222-019-00884-3
出現コレクション:学術雑誌掲載論文等

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