On the existence of an L∞ structure for the super-Virasoro algebra

Abstract

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 $$ \mathcal{N}=1 $$ N = 1 super-Virasoro algebra in detail, we investigate whether an extension to a super-L∞ algebra is sufficient to capture all appearing signs.