1995/09/07 by Alexey Sevostyanov, ALEXEY SEVOSTYANOV · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Chiral model #Homotopy and Cohomology in Algebraic Topology #Matrix (chemical analysis) #Matrix model #Nonlinear Waves and Solitons #Nonlinear system #Poisson bracket #Poisson distribution #Sigma #Sigma model #hep-th
paper · pdf · doi:10.1142/s0217751x96001978
published as Int. J. Mod. Phys. A11 (1996) 4241 · 18 pages, LaTeX
arxiv created 1995/09/07 · openalex publication_date 1996/09/20 · arxiv updated 2015/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The canonical Poisson structure of the 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.