English

The classical r-matrix method for nonlinear sigma-model

High Energy Physics - Theory 2015-06-26 v1

Abstract

The canonical Poisson structure of nonlinear sigma-model is presented as a Lie-Poisson r-matrix bracket on coadjoint orbits. It is shown that the Poisson structure of this model is determined by some `hidden singularities' of the Lax matrix.

Keywords

Cite

@article{arxiv.hep-th/9509030,
  title  = {The classical r-matrix method for nonlinear sigma-model},
  author = {Alexey Sevostyanov},
  journal= {arXiv preprint arXiv:hep-th/9509030},
  year   = {2015}
}

Comments

18 pages, LaTeX