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

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

2002-12-02

arxiv.org/abs/hep-th/0212006v2

PoS UNESP2002:012,2002

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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.

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