On third Poisson structure of KdV equation
A. Gorsky, A. Marshakov, A. Orlov, V. Rubtsov
Abstract
The third Poisson structure of KdV equation in terms of canonical ``free fields'' and reduced WZNW model is discussed. We prove that it is ``diagonalized'' in the Lagrange variables which were used before in formulation of 2D gravity. We propose a quantum path integral for KdV equation based on this representation.
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