EXTENDED CHIRAL CONFORMAL THEORIES WITH A QUANTUM SYMMETRY

A properly extended chiral part of rational conformal field theory (RCFT) Possesses an internal quantum symmetry. There exist self dual chiral Green functions defined up to an overall phase factor which transform under a 1-dimensional (unitary) representation of the braid group B(n). A B(n)-invariant inner product is constructed in the space of quantum group invariants which allows to reproduce 2-dimensional monodromy free euclidean Green functions by pairing the correlation functions of the left and right sectors.