Abstract
It is shown that the closure of the infinitesimal symmetry transformations underlying classical \( \mathcal{W} \) algebras give rise to L∞ algebras with in general field dependent gauge parameters. Therefore, the class of well understood \( \mathcal{W} \) 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 \( {\mathcal{W}}_3 \) algebra.
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ArXiv ePrint: 1705.00736
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Blumenhagen, R., Fuchs, M. & Traube, M. \( \mathcal{W} \) algebras are L∞ algebras. J. High Energ. Phys. 2017, 60 (2017). https://doi.org/10.1007/JHEP07(2017)060
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DOI: https://doi.org/10.1007/JHEP07(2017)060