The minimal models are representations of the Virasoro algebra for particular central charges c_{p,q}. For these central charges the category of representations has finitely many irreducibles and it gives rise to a rational conformal field theory. In this talk, we focus on the non rational central charges where the number of irreducibles is infinite. We prove that there is a braided tensor category structure on a natural subcategory of representations of the Virasoro algebra for arbitrary central charge. This talk is based on joint work with Thomas Creutzig, Cuibo Jiang, David Ridout and Jinwei Yang.
Meeting ID: 940 0255 3301 Passcode: 790356
Tensor categories for non rational Virasoro vertex algebras