Weak quasi-Hopf algebras, C*-tensor categories and conformal field theory, and the Kazhdan-Lusztig-Finkelberg theorem

Sergio Ciamprone, Marco Valerio Giannone, Claudia Pinzari

We develop Doplicher-Roberts quantum group duality program for the WZW model within the framework of vertex operator algebras. We establish that a weak quasi-fibre structure on a f…