On the Existence of an L∞ structure for the Super-Virasoro Algebra

Abstract

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

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