NC Wilson lines and the inverse Seiberg-Witten map for nondegenerate star products
Wolfgang Behr, Andreas Sykora
TL;DR
This paper generalizes open Wilson lines to broader star products in noncommutative gauge theories and derives an inverse Seiberg-Witten map formula for invertible Poisson structures.
Contribution
It introduces a generalization of Wilson lines for noncommutative gauge theories with various star products and provides a new formula for the inverse Seiberg-Witten map.
Findings
Generalized Wilson lines for non-Moyal star products
Derived inverse Seiberg-Witten map formula for invertible Poisson structures
Extended the understanding of observables in noncommutative gauge theories
Abstract
Open Wilson lines are known to be the observables of noncommutative gauge theory with Moyal-Weyl star product. We generalize these objects to more general star products. As an application we derive a formula for the inverse Seiberg-Witten map for star products with invertible Poisson structures.
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