Dynamical r-matrices and the chiral WZNW phase space
Mathematical Physics
2009-11-07 v1 High Energy Physics - Theory
math.MP
Abstract
The dynamical generalization of the classical Yang-Baxter equation that governs the possible Poisson structures on the space of chiral WZNW fields with generic monodromy is reviewed. It is explained that for particular choices of the chiral WZNW Poisson brackets this equation reduces to the CDYB equation recently studied by Etingof--Varchenko and others. Interesting dynamical r-matrices are obtained for generic monodromy as well as by imposing Dirac constraints on the monodromy.
Cite
@article{arxiv.math-ph/0104027,
title = {Dynamical r-matrices and the chiral WZNW phase space},
author = {L. Feher},
journal= {arXiv preprint arXiv:math-ph/0104027},
year = {2009}
}
Comments
Talk given at XXIII International Colloquium on Group Theoretical Methods in Physics, July 31 - August 5, 2000, Dubna, Russia. LaTeX, 9 pages