Covariant Coordinate Transformations on Noncommutative Space
R. Jackiw, S.-Y. Pi
TL;DR
This paper develops a method to define gauge-covariant coordinate transformations within noncommutative spaces, extending classical concepts through the use of the Seiberg-Witten equation.
Contribution
It introduces a novel approach to gauge-covariant transformations on noncommutative spaces, generalizing existing results for commuting coordinates.
Findings
Successfully defines gauge-covariant transformations on noncommutative space
Utilizes Seiberg-Witten equation for the construction
Generalizes classical coordinate transformation results
Abstract
We show how to define gauge-covariant coordinate transformations on a noncommuting space. The construction uses the Seiberg-Witten equation and generalizes similar results for commuting coordinates.
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