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

Publication date: 1998-11-01

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• By this author: Dimakis A. ;  Müller-Hoissen F.

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