THE NONCOMMUTATIVE CHERN-SIMONS ACTION AND THE SEIBERG-WITTEN MAP

N. GRANDI

Trieste

Conferencia; Conference on Higher Dimensional Quantum Hall Effect, Chern-Simons Theory and Non-Commutative Geometry in Condensed Matter Physics and Field Theory; 2005

Abdus Salam International Centre for Theoretical Physics

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.