Dynamical r-matrices and Poisson-Lie symmetries in the chiral WZNW model

Abstract

We briefly review the possible Poisson structures on the chiral WZNW phase space and discuss the associated Poisson-Lie groupoids. Many interesting dynamical r-matrices appear naturally in this framework. Particular attention is paid to the special cases in which these r-matrices satisfy the classical dynamical Yang-Baxter equation or its Poisson-Lie variant.

Talk at the Workshop on Integrable Theories, Solitons and Duality, IFT Sao Paulo, July 2002; 12 pages, LaTeX. Added some references in v2