Abstract
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 WA n−1 and WB n 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 WB n .
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