Integrable theories in any dimension and homogenous spaces
High Energy Physics - Theory
2009-10-31 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
solv-int
Abstract
We construct local zero curvature representations for non-linear sigma models on homogeneous spaces, defined on a space-time of any dimension, following a recently proposed approach to integrable theories in dimensions higher than two. We present some sufficient conditions for the existence of integrable submodels possessing an infinite number of local conservation laws. Examples involving symmetric spaces and group manifolds are given. The models are discussed in detail.
Cite
@article{arxiv.hep-th/9810067,
title = {Integrable theories in any dimension and homogenous spaces},
author = {Luiz A. Ferreira and Erica E. Leite},
journal= {arXiv preprint arXiv:hep-th/9810067},
year = {2009}
}
Comments
LaTeX, 35 pages