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

2000/07/26 by Aristophanes Dimakis, Folkert Muller-Hoissen
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP #nlin.SI

paper · pdf

published as Lett.Math.Phys. 54 (2000) 123-135 · 14 pages, extended version (in particular new section on "deformation curvature")

arxiv created 2000/07/26 · arxiv updated 2009/11/30

Abstract

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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