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arXiv · 2002.03180

Tensor Categories arising from the Virasoro Algebra

Thomas Creutzig·Cuipo Jiang·Florencia Orosz Hunziker·David Ridout·Jinwei Yang
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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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BibTeXRIS

Thomas Creutzig, Cuipo Jiang, Florencia Orosz Hunziker, David Ridout, Jinwei Yang. 2020-02-08. Tensor Categories arising from the Virasoro Algebra. https://arxiv.org/abs/2002.03180

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