English

Functional Tetrahedron Equation

solv-int 2009-10-31 v1 Exactly Solvable and Integrable Systems

Abstract

We describe a scheme of constructing classical integrable models in 2+1-dimensional discrete space-time, based on the functional tetrahedron equation - equation that makes manifest the symmetries of a model in local form. We construct a very general "block-matrix model" together with its algebro-geometric solutions, study its various particular cases, and also present a remarkably simple scheme of quantization for one of those cases.

Keywords

Cite

@article{arxiv.solv-int/9801015,
  title  = {Functional Tetrahedron Equation},
  author = {R. M. Kashaev and I. G. Korepanov and S. M. Sergeev},
  journal= {arXiv preprint arXiv:solv-int/9801015},
  year   = {2009}
}

Comments

LaTeX, 16 pages