Explicit generators in rectangular affine tion id-i-eq1"> tion-source format-t-e-x" xmlns:search="http://marklogic.com/appservices/search">\(\mathcal {W}\) -algebras of type A

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• 作者：Tomoyuki Arakawa ; Alexander Molev
• 关键词：Vertex algebra ; Affine W ; algebra ; Miura transformation
• 刊名：Letters in Mathematical Physics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：107
• 期：1
• 页码：47-59
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Theoretical, Mathematical and Computational Physics; Complex Systems; Geometry; Group Theory and Generalizations;
• 出版者：Springer Netherlands
• ISSN：1573-0530
• 卷排序：107

文摘

We produce in an explicit form free generators of the affine \(\mathcal {W}\)-algebra of type A associated with a nilpotent matrix whose Jordan blocks are of the same size. This includes the principal nilpotent case and we thus recover the quantum Miura transformation of Fateev and Lukyanov.