THE CONSERVED CHARGES AND INTEGRABILITY OF THE CONFORMAL AFFINE TODA MODELS

We construct infinite sets of local conserved charges for the conforma l affine Toda model. The technique involves the abelianization of the two-dimensional gauge potentials satisfying the zero-curvature form of the equations of motion. We find two infinite sets of chiral charges and apart from two lowest spin charges, all the remaining ones do not possess chiral densities. Charges of different chiralities Poisson com mute among themselves. We discuss the algebraic properties of these ch arges and use the fundamental Poisson bracket relation to show that th e charges conserved in time are in involution. Connections to other To da models are established by taking particular limits.