Description
In this talk, we classify and compute characters of N-gradable simple weight modules over non-integrable affine vertex operator algebras using theory of relaxed highest-weight modules
and Mathieu's coherent families. The results have significant applications in the Creutzig-Ridout Verlinde formula
of non-integrable affine vertex operator algebras. As an example, we compute (Grothendieck) fusion rules
for affine sl(3) vertex operator algebra of level -3/2 using the Verlinde type formula.
This is based on joint works with David Ridout and Simon Wood.
