Chern-Simons action in noncommutative space

Details Chern-Simons action in noncommutative space Chern-Simons action in noncommutative space

2000-10-13

arxiv.org/abs/hep-th/0010113v2

Phys.Lett. B507 (2001) 345-350

Physics

High Energy Physics

High Energy Physics - Theory

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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