Noncommutative geometry and a class of completely integrable models
Mathematical Physics
2016-09-07 v1 math.MP
Abstract
We introduce a Hodge operator in a framework of noncommutative geometry. The complete integrability of 2-dimensional classical harmonic maps into groups (sigma-models or principal chiral models) is then extended to a class of 'noncommutative' harmonic maps into matrix algebras.
Cite
@article{arxiv.math-ph/9809023,
title = {Noncommutative geometry and a class of completely integrable models},
author = {A. Dimakis and F. Muller-Hoissen},
journal= {arXiv preprint arXiv:math-ph/9809023},
year = {2016}
}
Comments
7 pages, Proc. 7th Colloquium on Quantum Groups and Integrable Systems