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

Aristophanes Dimakis·Folkert Muller-Hoissen
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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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Aristophanes Dimakis, Folkert Muller-Hoissen. 2000-07-26. Moyal Deformation, Seiberg-Witten-Map, and Integrable Models. https://arxiv.org/abs/hep-th/0007160

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