Improved SU(2)k Wess-Zumino-Witten model.

Abstract

The ${\mathrm{SU}(2)}_{k}$ Wess-Zumino-Witten model with the improved energy-momentum tensor is studied in terms of parafermion fields. It is shown that the parafermion fields are variables which are quite convenient to describe this model. Using the Coulomb gas formalism we show that some correlation functions are easily calculated. A possible application to the selection rules for nonvanishing correlation functions in $N=2$ minimal models is also discussed. These are quite useful in studying couplings of massless fields in models compactified by $N=2$ minimal models.