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Gauge Invariance and Duality in the Noncommutative Plane

Subir Ghosh
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Abstract

We show that the duality between the self-dual and Maxwell-Chern-Simons theories in 2+1-dimensions survives when the space-time becomes noncommutative. Existence of the Seiberg-Witten map is crucial in the present analysis. It should be noted that the above models, being manifestly gauge variant and invariant respectively, transform differently under the Seiberg-Witten map. We also discuss this duality in the Stuckelberg formalism where the self-dual model is elevated to a gauge theory. The "`master"' lagrangian approach has been followed throughout.

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Subir Ghosh. 2003-02-11. Gauge Invariance and Duality in the Noncommutative Plane. https://doi.org/10.1016/s0370-2693(03)00277-6

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