PERTURBED W-ALGEBRAS AND AFFINE TODA THEORIES

The relation between affine Toda theories and perturbed W-algebras, suggested earlier in the literature, is investigated further both in the classical and in the quantum theory. In the classical theory some evidence is found pointing to a close relationship between the conserved currents of the affine Toda theory and the currents of the classical W-algebras. In the quantum theory we point out that if the minimal WAn-1 and WBn models are perturbed according to the picture provided by the affine Toda theory, then several currents of these algebras remain conserved including the classically unseen fermionic current of WBn. © 1990.