# Seiberg-Witten Map with Lorentz-Invariance and Gauge-Covariant Star Product

@inproceedings{Chaichian2021SeibergWittenMW, title={Seiberg-Witten Map with Lorentz-Invariance and Gauge-Covariant Star Product}, author={Masud Chaichian and Melita Mnatsakanova and Markku I. Oksanen}, year={2021} }

We develop the Seiberg-Witten map using the gauge-covariant star product with the noncommutativity tensor θ(x). The latter guarantees the Lorentz invariance of the theory. The usual form of this map and its other recent generalizations do not consider such a covariant star product. We construct the Seiberg-Witten map for the gauge parameter, the gauge field and the strength tensor to the first order in the noncommutativity parameter θ(x). Prescription for the generalization of the map to higher…

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