Moyal Deformation, Seiberg-Witten-Map, and Integrable Models
High Energy Physics - Theory
2007-05-23 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.hep-th/0007160,
title = {Moyal Deformation, Seiberg-Witten-Map, and Integrable Models},
author = {Aristophanes Dimakis and Folkert Muller-Hoissen},
journal= {arXiv preprint arXiv:hep-th/0007160},
year = {2007}
}
Comments
14 pages, extended version (in particular new section on "deformation curvature")