W $$ \mathcal{W} $$ algebras are L∞ algebras

Abstract It is shown that the closure of the infinitesimal symmetry transformations underlying classical W $$ \mathcal{W} $$ algebras give rise to L∞ algebras with in general field dependent gauge parameters. Therefore, the class of well understood W $$ \mathcal{W} $$ algebras provides highly nontri...

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Bibliographic Details
Main Authors: Ralph Blumenhagen, Michael Fuchs, Matthias Traube
Format: Article
Language:English
Published: SpringerOpen 2017-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP07(2017)060

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