W algebras are L∞ algebras
A bstract It is shown that the closure of the infinitesimal symmetry transformations underlying classical W algebras give rise to L ∞ algebras with in general field dependent gauge parameters. Therefore, the class of well understood W algebras provides highly nontrivial examples of such strong homot...
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Published in | The journal of high energy physics Vol. 2017; no. 7 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
12.07.2017
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Subjects | |
Online Access | Get full text |
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Summary: | A
bstract
It is shown that the closure of the infinitesimal symmetry transformations underlying classical
W
algebras give rise to L
∞
algebras with in general field dependent gauge parameters. Therefore, the class of well understood
W
algebras provides highly nontrivial examples of such strong homotopy Lie algebras. We develop the general formalism for this correspondence and apply it explicitly to the classical
W
3
algebra. |
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ISSN: | 1029-8479 |
DOI: | 10.1007/JHEP07(2017)060 |