Heterotic Toda fields Original Research Article

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 Wr+1 algebra and a right chiral Wr+12 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 (B2, C1) flow of the standard Toda lattice hierarchy.