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arXiv · hep-th/9303045

W-infinity structure of the $sl(N)$ conformal affine Toda theories

R. Paunov
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Abstract

We reexamine the $W_{\infty}$ 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 oprator, whose coefficients are the generators of the $W_{\infty}$ 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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R. Paunov. 1993-03-08. W-infinity structure of the $sl(N)$ conformal affine Toda theories. https://doi.org/10.1016/0370-2693(93)90937-d

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