Noncommutative geometry and a class of completely integrable models
Authors: Dimakis A.1; Müller-Hoissen F.2
Source: Czechoslovak Journal of Physics, Volume 48, Number 11, November 1998 , pp. 1319-1324(6)
Publisher: Springer
Abstract:
We introduce a Hodge operator in a framework of noncommutative geometry. The complete integrability of 2-dimensional classical harmonic maps into groups (
-models or principal chiral models) is then extended to a class of noncommutative harmonic maps into matrix algebras.
Language: English
Document Type: Research article
Affiliations: 1: Department of Mathematics, University of the Aegean, GR-83200 Karlovasi, Samos, Greece 2: Max-Planck-Institut für Strömungsforschung, Bunsenstrasse 10, D-37073 Göttingen, Germany

Click here for Page Help