Bosonization of Z parafermions
Paul Griffin, Dennis D. Nemeschansky
We develop a general method of solving non-trivial conformal field theories by coset imbeddings into free boson models. In particular, we consider ZN parafermion models represented by the coset model constructions su(N1)⊕su(N)1/su(N)2, and bosonize the su(N)1 models. The calculation of correlation functions of these parafermion theories is formulated so that detailed information from the diagonal su(N)2 theory is not required. A differential equation for the four-point functionof order operators σ1 is derived as an example. We also derive differential equations with respect to the modular parameter τ for the parafermion characters in terms of the su(N)1 characters only. In particular, the equations for the Z2 and Z3 characters are first and second order respectively.
Nuclear Physics B•Sep 1, 1989•24 citations