Tensor categories arising from the Virasoro algebra

Creutzig T, Jiang C, Orosz Hunziker F, Ridout D, Yang J (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Advances in Mathematics Elsevier

Book Volume: 380

Article Number: 107601

DOI: 10.1016/j.aim.2021.107601

Abstract

We show that there is a braided tensor category structure on the category of C1-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∉Q, we prove semisimplicity, rigidity and non-degeneracy and also compute the fusion rules of this tensor category.

Involved external institutions

University of Alberta CA Canada (CA) Shanghai Jiao Tong University / 上海交通大学 CN China (CN) University of Colorado at Boulder US United States (USA) (US) The University of Melbourne AU Australia (AU)

How to cite

APA:

Creutzig, T., Jiang, C., Orosz Hunziker, F., Ridout, D., & Yang, J. (2021). Tensor categories arising from the Virasoro algebra. Advances in Mathematics, 380. https://doi.org/10.1016/j.aim.2021.107601

MLA:

Creutzig, Thomas, et al. "Tensor categories arising from the Virasoro algebra." Advances in Mathematics 380 (2021).

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