C2 Toda theory in the reduced WZNW framework
Z. Bajnok
Abstract
We consider the C2 Toda theory in the reduced WZNW framework. Analysing the classical representation space of the symmetry algebra (which is the corresponding C2 W algebra) we determine its classical highest weight representations. We quantise the model promoting only the relevant quantities to operators. Using the quantised equation of motion we determine the selection rules for the u field that corresponds to one of the Toda fields and give restrictions for its amplitude functions and for the structure of the Hilbert space of the model.
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