Letters in Mathematical Physics

, Volume 39, Issue 1, pp 69–79 | Cite as

Noncommutative Geometry and Integrable Models

  • Aristophanes Dimakis
  • Folkert MÜller-Hoissen


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.

completely integrable models noncommutative geometry. 


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Copyright information

© Kluwer Academic Publishers 1997

Authors and Affiliations

  • Aristophanes Dimakis
    • 1
  • Folkert MÜller-Hoissen
    • 1
  1. 1.Institut für Theoretische PhysikGöttingenGermany

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