Maxwell-Chern-Simons Theory is Free for Marginally Noncommutative Spacetimes
arXiv:hep-th/0309014 · doi:10.1016/j.physletb.2003.12.061
Abstract
We have conclusively established the duality between noncommutative Maxwell-Chern-Simons theory and Self-Dual model, the latter in ordinary spacetime, to the first non-trivial order in the noncommutativity parameter $θ^{μν}$, with $θ^{0i}=0$. This shows that the former theory is free for marginally noncommutative spacetimes. A $θ$-generalized covariant mapping between the variables of the two models in question has been derived explicitly, that converts one model to the other, including the symplectic structure and action.
Title modified, Slightly enlarged version, No change in math. content, Version to appear in Phys.Lett.B