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arXiv · hep-th/0102092

A Note on Noncommutative Chern-Simons Theories

M. M. Sheikh-Jabbari
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Abstract

The three dimensional Chern-Simons theory on $\rr^2_θ\times \rr$ 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 $2π$ {\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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M. M. Sheikh-Jabbari. 2001-04-05. A Note on Noncommutative Chern-Simons Theories. https://doi.org/10.1016/s0370-2693(01)00575-5

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