A2 Toda theory in reduced WZNW framework and the representations of the W algebra

Details A2 Toda theory in reduced WZNW framework and the representations of the W algebra A2 Toda theory in reduced WZNW framework and the representations of the W algebra

1992-06-19

arxiv.org/abs/hep-th/9206075v2

Nucl.Phys.B385:329-360,1992

Physics

High Energy Physics

High Energy Physics - Theory

38 pages

Scientific paper

10.1016/0550-3213(92)90104-J

Using the reduced WZNW formulation we analyse the classical $W$ orbit content of the space of classical solutions of the $A_2$ Toda theory. We define the quantized Toda field as a periodic primary field of the $W$ algebra satisfying the quantized equations of motion. We show that this local operator can be constructed consistently only in a Hilbert space consisting of the representations corresponding to the minimal models of the $W$ algebra.

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