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Maxwell-Chern-Simons Theory is Free for Marginally Noncommutative Spacetimes

Subir Ghosh
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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.

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Subir Ghosh. 2004-01-02. Maxwell-Chern-Simons Theory is Free for Marginally Noncommutative Spacetimes. https://doi.org/10.1016/j.physletb.2003.12.061

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