Noncommutative geometry and a class of completely integrable models

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