$C_2$ Toda theory in the reduced WZNW framework

Details $C_2$ Toda theory in the reduced WZNW framework $C_2$ Toda theory in the reduced WZNW framework

1993-04-06

arxiv.org/abs/hep-th/9304019v3

Int. J. Mod. Phys. A9 (1994) 5387-5408

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, TeX, ITP Budapest 501, minor modifications

Scientific paper

10.1142/S0217751X94002168

We consider the $C_2$ Toda theory in the reduced WZNW framework. Analysing the classical representation space of the symmetry algebra (which is the corresponding $C_2$ $W$ 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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