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On the Existence of an L$_\infty$ structure for the Super-Virasoro Algebra

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arxiv 1809.10467 v2 pith:6WZSDV4W submitted 2018-09-27 hep-th

classification hep-th
keywords algebrainftysuper-virasoroalgebrasappearanceappearingcaptureconcrete
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The appearance of L$_\infty$ structures for 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.

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