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Chern-Simons action in noncommutative space

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Published Article
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DOI: 10.1016/S0370-2693(01)00241-6
arXiv ID: hep-th/0010113
Source
arXiv
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Abstract

We derive the noncommutative Chern-Simons action induced by Dirac fermions coupled to a background gauge field, for the fundamental, antifundamental, and the adjoint representation. We discuss properties of the noncommutative Chern-Simons action showing in particular that the Seiberg-Witten formula maps it into the standard commutative Chern-Simons action.

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