Gauge Theory on Noncommutative Spaces
John Madore, Stefan Schraml, Peter Schupp, Julius Wess

TL;DR
This paper develops a gauge theory framework on noncommutative spaces using covariant coordinates, providing detailed examples and establishing a Seiberg-Witten map applicable in all cases.
Contribution
It introduces a novel formulation of gauge theory on noncommutative spaces with covariant coordinates and generalizes the Seiberg-Witten map.
Findings
Formulation of gauge theory on noncommutative spaces
Detailed examples demonstrating the approach
Generalized Seiberg-Witten map for all cases
Abstract
We introduce a formulation of gauge theory on noncommutative spaces based on the concept of covariant coordinates. Some important examples are discussed in detail. A Seiberg-Witten map is established in all cases.
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