A(2) TODA THEORY IN REDUCED WZNW FRAMEWORK AND THE REPRESENTATIONS OF THE W-ALGEBRA
WoS ID: A1992JY88500011
Scopus ID: 0000199288
Using the reduced WZNW formulation we analyse the classical W-orbit content of the space of classical solutions of the A2 Toda theory. We define the quantized Toda field as a periodic primary field of the W-algebra satifying the quantized equations of motion. We show that this local operator can be constructed consistently only in Hilbert space consisting of the representations corresponding to the minimal models of the W-algebra.