Integrability of the Wess-Zumino-Witten model as a non-ultralocal theory

We consider the 2-dimensional Wess-Zumino-Witten (WZW) model in the canonical formalism introduced by Rajeev, Sparano and Vitale [Int J. Mod. Phys. A 31 (1994) 5469]. Using an r-s matrix approach to non-ultralocal field theories we find the Poisson algebra of monodromy matrices and of conserved quatities with a new, non-dynamical, r matrix.