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W-algebras for generalized Toda theories

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Abstract

The generalized Toda theories obtained in a previous paper by the conformal reduction of WZNW theories possess a new class ofW-algebras, namely the algebras of gauge-invariant polynomials of the reduced theories. An algorithm for the construction of base-elements for theW-algebras of all such generalized Toda theories is found, and theW-algebras for the maximalSL(N,R) generalized Toda theories are constructed explicitly, the primary field basis being identified.

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Authors and Affiliations

  1. Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin 4, Ireland

    L. O'Raifeartaigh, P. Ruelle & I. Tsutsui

  2. Institut für Theoretische Physik, Eidgenössische Technische Hochschule, Hönggerberg, CH-8093, Zürich, Switzerland

    A. Wipf

Authors
  1. L. O'Raifeartaigh
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  2. P. Ruelle
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  3. I. Tsutsui
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  4. A. Wipf
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Communicated by K. Gawedzki

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O'Raifeartaigh, L., Ruelle, P., Tsutsui, I. et al. W-algebras for generalized Toda theories. Commun.Math. Phys. 143, 333–354 (1992). https://doi.org/10.1007/BF02099012

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  • DOI: https://doi.org/10.1007/BF02099012

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