Perturbed W-algebras and affine Toda theories

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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.

Original languageEnglish
Pages (from-to)714-741
Number of pages28
JournalNuclear Physics, Section B
Issue number3
Publication statusPublished - Sep 17 1990

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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