Parafermionic chiral algebra image with the dimension of the principal parafermion fields image, image, image Original Research Article

We analyze, and prove, the associativity of the new image parafermionic chiral algebra which has been announced some time ago, with principal parafermionic fields having the conformal dimension image. In doing so we have developed a new method for analyzing the associativity of a given chiral algebra of parafermionic type, the method which might be of a more general significance than a particular conformal field theory studied in detail in this paper. Still, even in the context of our particular chiral algebra, of image parafermions with image, the new method allowed us to give a proof of associativity which we consider to be complete.