A Note on Noncommutative Chern-Simons Theories

Details A Note on Noncommutative Chern-Simons Theories A Note on Noncommutative Chern-Simons Theories

2001-02-15

arxiv.org/abs/hep-th/0102092v3

Phys.Lett.B510:247-254,2001

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 15 pages, no figures, v3: one reference added, typos in references fixed

Scientific paper

10.1016/S0370-2693(01)00575-5

The three dimensional Chern-Simons theory on $\rr^2_{\theta}\times \rr$ is studied. Considering the gauge transformations under the group elements which are going to one at infinity, we show that under arbitrary (finite) gauge transformations action changes with an integer multiple of $2\pi$ {\it if}, the level of noncommutaitive Chern-Simons is {\it quantized}. We also briefly discuss the case of the noncommutaitve torus and some other possible extensions.

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