W-algebras for generalized Toda theories |
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| Authors: | L. O'Raifeartaigh P. Ruelle I. Tsutsui A. Wipf |
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| Affiliation: | (1) Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin 4, Ireland;(2) Institut für Theoretische Physik, Eidgenössische Technische Hochschule, Hönggerberg, CH-8093 Zürich, Switzerland |
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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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