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Lie Group Quantum Mathematics Seminar

Tensor categories from Virasoro algebra

 Jinwei Yang, University of Alberta

Location:  Hill 705
Date & time: Monday, 14 October 2019 at 3:20PM - 4:20PM

  • Abstract We construct tensor category structures on the lower bounded C_1-cofinite modules for the Virasoro algebra of arbitrary central charges. We first show that this category is the same as the category of finite length modules with C_1-cofinite simple composition factors. Then we verify that all the conditions needed in the logarithmic tensor category theory of Huang, Lepowksy and Zhang hold. We also prove rigidity of this category for the generic central charges.
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