Chern-Simons action in noncommutative space

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, 1 figure. Minor corrections, final version to be published in Physics Letters B

Scientific paper

10.1016/S0370-2693(01)00241-6

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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