Duality relations between SU ( N) k and SU ( k) N WZW models and their braid matrices

Abstract

Dual relations are found between the primary fields, correlators, and conformal blocks of SU ( N) k and SU ( k) N WZW models, which in turn imply dual relations between the braid matrices of the two theories. These results are a consequence of the fact that the spaces of conformal blocks of SU ( N) k and SU ( k) N correlation functions are dual.