Dynamical r-matrices and Poisson-Lie symmetries in the chiral WZNW model
High Energy Physics - Theory
2009-01-27 v2 Mathematical Physics
math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.hep-th/0212006,
title = {Dynamical r-matrices and Poisson-Lie symmetries in the chiral WZNW model},
author = {L. Feher},
journal= {arXiv preprint arXiv:hep-th/0212006},
year = {2009}
}
Comments
Talk at the Workshop on Integrable Theories, Solitons and Duality, IFT Sao Paulo, July 2002; 12 pages, LaTeX. Added some references in v2