Chern–Simons action in noncommutative space

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.