Chern-Simons action in noncommutative space
High Energy Physics - Theory
2009-08-13 v2
Abstract
We derive the noncommutative Chern-Simons action induced by Dirac fermions coupled to a background gauge field, for the fundamental, antifundamental, and the adjoint representation. We discuss properties of the noncommutative Chern-Simons action showing in particular that the Seiberg-Witten formula maps it into the standard commutative Chern-Simons action.
Cite
@article{arxiv.hep-th/0010113,
title = {Chern-Simons action in noncommutative space},
author = {N. Grandi and G. A. Silva},
journal= {arXiv preprint arXiv:hep-th/0010113},
year = {2009}
}
Comments
11 pages, 1 figure. Minor corrections, final version to be published in Physics Letters B