Abstract
A non-left-right symmetric conformal integrable Toda field theory is constructed. It is found that the conformal algebra for this model is the product of a left chiral W r+1 algebra and a right chiral W r+1 2 algebra. The general classical solution is constructed out of the chiral vectors satisfying the so-called classical exchange algebra. In addition, we derived an explicit Wronskian type solution in relation to the constrained WZNW theory. We also showed that the A ∞ limit of this model is precisely the ( B 2, C 1) flow of the standard Toda lattice hierarchy.
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