Abstract
The generalized Toda theories obtained in a previous paper by the conformal reduction of WZNW theories possess a new class of W-algebras, namely the algebras of gauge-invariant polynomials of the reduced theories. An algorithm for the construction of base-elements for the W-algebras of all such generalized Toda theories is found, and the W-algebras for the maximal SL(N,R) generalized Toda theories are constructed explicitly, the primary field basis being identified. © 1992 Springer-Verlag.
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