On the Existence of an L$_\infty$ structure for Classical Super ${\cal 
W}$-algebras

Blumenhagen, Ralph; Brinkmann, Max

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On the Existence of an L$_\infty$ structure for Classical Super ${\cal W}$-algebras

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Blumenhagen, Ralph
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Brinkmann, Max
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

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Blumenhagen, R., & Brinkmann, M. (2019). On the Existence of an L$_\infty$ structure for Classical Super ${\cal W}$-algebras. Journal of High Energy Physics, 1901, 105. Retrieved from https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2018-223.

Cite as: https://hdl.handle.net/21.11116/0000-0005-D6B7-B

Abstract

The appearance of L$_\infty$ structures for classical supersymmetric symmetry algebras in two-dimensional conformal field theories is investigated. Looking at the simplest concrete example of the ${\cal N}=1$ super-Virasoro algebra in detail, we investigate whether an extension to a super-L$_\infty$ algebra is sufficient to capture all appearing signs.