Moyal Deformation, Seiberg-Witten-Map, and Integrable Models

Details Moyal Deformation, Seiberg-Witten-Map, and Integrable Models Moyal Deformation, Seiberg-Witten-Map, and Integrable Models

2000-07-20

arxiv.org/abs/hep-th/0007160v2

Lett.Math.Phys. 54 (2000) 123-135

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, extended version (in particular new section on "deformation curvature")

Scientific paper

A covariant formalism for Moyal deformations of gauge theory and differential equations which determine Seiberg-Witten maps is presented. Replacing the ordinary product of functions by the noncommutative Moyal product, noncommutative versions of integrable models can be constructed. We explore how a Seiberg-Witten map acts in such a framework. As a specific example, we consider a noncommutative extension of the principal chiral model.

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