B\"acklund loop algebras for compact and non-compact nonlinear spin models in $(2+1)$ dimensions
Differential Geometry
2009-11-10 v4 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
The B\"acklund problem is solved for both the compact and noncompact versions of the Ishimori (2+1)-dimensional nonlinear spin model. In particular, a realization of the arising B\"acklund algebra in the form of an infinite-dimensional loop Lie algebra of the Ka\v{c}--Moody type is provided.
Cite
@article{arxiv.math/0402114,
title = {B\"acklund loop algebras for compact and non-compact nonlinear spin models in $(2+1)$ dimensions},
author = {Marcella Palese},
journal= {arXiv preprint arXiv:math/0402114},
year = {2009}
}
Comments
9 pages; "Nonlinear Physics: Theory and Experiment. III" (Gallipoli (Lecce) 24/06-03/07/2004)