Speaker
Victor Kac
Description
A vertex operator algebra (VOA) V is called modular invariant if its character $tr_V e^{2\pi iz(L_0-c/24)}$ converges to a modular function in the complex upper half-plane. In my talk I will report on a joint work with Minoru Wakimoto, where we pose a few conjectures on modular invariant VOA and discuss for which k, the simple affine VOA $V_k(g)$ and simple affine W-algebras $W_k(g,s)$ are modular invariant. Quasi-modular invariance of VOA will be also discussed. The talk will be essentially self-contained.