W-infinity structure of the sl(N) Conformal Affine Toda theories
Review articleOpen access

AbstractWe reexamine the W∞ symmetry of the sl(N) Conformal Affine Toda theories. It is shown that it is possible to reduce (nonuniquely) the zero curvature equation to a Lax equation for a first order pseudodifferential operator, whose coefficients are the generators of the W∞ algebra. This clarifies the known relation between the Conformal Affine Toda theories and the KP hierarchy. A possible correspondence between the matrix models and the Conformal Affine Toda models is discussed.

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