Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-06-09
Phys.Lett. B625 (2005) 156-164
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, typos corrected
Scientific paper
10.1016/j.physletb.2005.08.012
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.
Harikumar E.
Rivelles Victor O.
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