On The Complete Seiberg-Witten Map For Theories With Topological Terms

Details On The Complete Seiberg-Witten Map For Theories With Topological Terms On The Complete Seiberg-Witten Map For Theories With Topological Terms

2006-12-28

arxiv.org/abs/hep-th/0612287v1

JHEP 0704:018,2007

Physics

High Energy Physics

High Energy Physics - Theory

Latex 2e. No figures

Scientific paper

10.1088/1126-6708/2007/04/018

The SW map problem is formulated and solved in the BRST cohomological approach. The well known ambiguities of the SW map are shown to be associated to distinct cohomological classes. This analysis is applied to the noncommutative Chern-Simons action resulting in the emergence of $\theta$-dependent terms in the commutative action which come from the nontrivial ambiguities. It is also shown how a specific cohomological class can be choosen in order to map the noncommutative Maxwell-Chern-Simons theory into the commutative one.

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