Integrable theories in any dimension and homogenous spaces
Ferreira, Luiz A. ; Leite, Erica E.
arXiv, 9810067 / Harvested from arXiv
Text on arXiv
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 $CP^N$ models are discussed in detail.
Publié le : 1998-10-09
Classification:  High Energy Physics - Theory,  Mathematical Physics,  Nonlinear Sciences - Exactly Solvable and Integrable Systems 
@article{9810067,
     author = {Ferreira, Luiz A. and Leite, Erica E.},
     title = {Integrable theories in any dimension and homogenous spaces},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9810067}
}

Ferreira, Luiz A.; Leite, Erica E. Integrable theories in any dimension and homogenous spaces. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9810067/