Noncommutative Maxwell-Chern-Simons theory in three dimensions and its dual
arXiv:hep-th/0506078 · doi:10.1016/j.physletb.2005.08.012
Abstract
We consider the Maxwell-Chern-Simons theory in noncommutative three dimensional space-time. We show that the Seiberg-Witten map is ambiguous due to the dimensional coupling constant. To get the dual theory we start from a master action obtained by promoting the global shift invariance to a local one. We also obtain the mapping between the observables of the two equivalent theories. We show that the equivalence between the Maxwell-Chern-Simons theory and the self-dual model in commutative space-time does not survive in the non-commutative setting.
14 pages, typos corrected