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Tensor Categories arising from the Virasoro Algebra

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arxiv 2002.03180 v2 pith:TNQAL55X submitted 2020-02-08 math.RT hep-thmath.QA

Thomas Creutzig , Cuipo Jiang , Florencia Orosz Hunziker , David Ridout , Jinwei Yang This is my paper · ORCID
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abstract

We show that there is a braided tensor category structure on the category of $C_1$-cofinite modules for the (universal or simple) Virasoro vertex operator algebras of arbitrary central charge. In the generic case of central charge $c=13-6(t+t^{-1})$, with $t \notin \mathbb{Q}$, we prove semisimplicity, rigidity and non-degeneracy and also compute the fusion rules of this tensor category.

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Cited by 1 Pith paper

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  1. Fusion rules and rigidity for weight modules over the simple admissible affine $\mathfrak{sl}(2)$ and $\mathcal{N}=2$ superconformal vertex operator superalgebras

    math.QA 2024-11 conditional novelty 7.0 of 10

    Rigidity of weight module categories for admissible affine sl(2) and N=2 superconformal minimal models is proved, together with the conjectured fusion product decompositions, including non-semisimple summands.

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