On interpretations and constructions of classical dynamical r-matrices
High Energy Physics - Theory
2017-08-23 v3 Mathematical Physics
math.MP
Quantum Algebra
Abstract
In this note we complement recent results on the exchange -matrices appearing in the chiral WZNW model by providing a direct, purely finite-dimensional description of the relationship between the monodromy dependent 2-form that enters the chiral WZNW symplectic form and the exchange -matrix that governs the corresponding Poisson brackets. We also develop the special case in which the exchange -matrix becomes the `canonical' solution of the classical dynamical Yang-Baxter equation on an arbitrary self-dual Lie algebra.
Cite
@article{arxiv.hep-th/0111252,
title = {On interpretations and constructions of classical dynamical r-matrices},
author = {L. Feher and A. Gabor},
journal= {arXiv preprint arXiv:hep-th/0111252},
year = {2017}
}
Comments
8 pages, LaTeX, based on a talk given by L.F. at the QTS2 symposium, 18-21 July 2001, Krakow, Poland. References are updated, and a typo is removed in v2; a misprint in equation (A.13) is corrected in v3