Abstract
A construction of conservation laws for σ-models in two dimensions is generalized in the framework of noncommutative geometry of commutative algebras. This is done by replacing theordinary calculus of differential forms with other differentialcalculi and introducing an analogue of the Hodge operator on thelatter. The general method is illustrated with several examples.
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Dimakis, A., MÜller-Hoissen, F. Noncommutative Geometry and Integrable Models. Letters in Mathematical Physics 39, 69–79 (1997). https://doi.org/10.1023/A:1007376001478
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DOI: https://doi.org/10.1023/A:1007376001478