Noncommutative Geometry and Integrable Models

Details Noncommutative Geometry and Integrable Models Noncommutative Geometry and Integrable Models

1996-01-07

arxiv.org/abs/hep-th/9601024v1

Lett.Math.Phys. 39 (1997) 69-79

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Latex

Scientific paper

A construction of conservation laws for $\sigma$-models in two dimensions is generalized in the framework of noncommutative geometry of commutative algebras. This is done by replacing the ordinary calculus of differential forms with other differential calculi and introducing an analogue of the Hodge operator on the latter. The general method is illustrated with several examples.

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