Caltech-Tsinghua Joint Colloquium

https://caltech.zoom.us/j/83185685455

I will discuss ongoing joint work with Hao Li and Jinwei Yang on the structure of tensor categories of representations for the Virasoro Lie algebra at positive rational central charges c > 25, and their relations to the quantum group of sl_2 at roots of unity. As an application, we construct a triplet vertex algebra at any rational central charge c > 25 which contains the Virasoro vertex algebra of central charge c as a subalgebra and has automorphism group PSL(2,C). We expect that this triplet vertex algebra will have a non-semisimple modular tensor category of representations, and thus may be of interest for logarithmic conformal field theory.