Noncommutative geometry and a class of completely integrable models

Details Noncommutative geometry and a class of completely integrable models Noncommutative geometry and a class of completely integrable models

1998-09-26

arxiv.org/abs/math-ph/9809023v1

Czech.J.Phys. 48 (1998) 1319-1324

Physics

Mathematical Physics

7 pages, Proc. 7th Colloquium on Quantum Groups and Integrable Systems

Scientific paper

10.1023/A:1021632517435

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.

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