In one of my last conversations with Ben Cox, we discussed our mutual desire to work together on the axiomatic approach to multilocal and quantum chiral algebras. We both had worked already on issues related to multilocality; situations where the fields/vertex operators in question have Operator Product Expansions (OPEs) with more than the one singularity at ‘z=w‘. In particular, we worked together on the theory of N-point local chiral algebras, i.e., algebras that are ‘complete’ with respect to OPEs, and have singularities at roots of unity. But we were planning to work on the outstanding case where the OPEs have singularities at infinite multiplicative lattices. Such is the example of the Frenkel-Jing quantum vertex operators. In this talk I will discuss some problems arising in the axiomatic approach to multilocal chiral algebras, both N-point local, and quantum.
This video was part of the Southeastern Lie Theory Workshop XII.
