Chern–Simons action in noncommutative space

N. Grandi, G.A. Silva
2001 Physics Letters B  
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.
doi:10.1016/s0370-2693(01)00241-6 fatcat:n2dpcyvckvcabp54z4s4gzwsby