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Local BRST cohomology and Seiberg-Witten maps in noncommutative Yang-Mills theory

Glenn Barnich, Friedemann Brandt, Maxim Grigoriev

hep-tharXiv:hep-th/0308092

Abstract

We analyze in detail the recursive construction of the Seiberg-Witten map and give an exhaustive description of its ambiguities. The local BRST cohomology for noncommutative Yang-Mills theory is investigated in the framework of the effective commutative Yang-Mills type theory. In particular, we show how some of the conformal symmetries get obstructed by the noncommutative deformation.

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