Monodromy Map and Classical r-matrices
High Energy Physics - Theory
2008-02-03 v1 Quantum Algebra
Abstract
We compute the Poisson bracket relations for the monodromy matrix of the auxiliary linear problem. If the basic Poisson bracket relations of the model contain derivatives, this computation leads to a peculiar type of symmetry breaking which accounts for a 'spontaneous quantization of the underlying global gauge group. A classification of possible patterns of symmetry breaking is outlined.
Keywords
Cite
@article{arxiv.hep-th/9402054,
title = {Monodromy Map and Classical r-matrices},
author = {M. A. Semenov-Tian-Shansky},
journal= {arXiv preprint arXiv:hep-th/9402054},
year = {2008}
}
Comments
13 pages, translation of the author's article published in Zapiski Lauchn. Semin. POMI, v.200, 1993, St.Petersburg