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Noncommutative 1-cocycle in the Seiberg-Witten map

High Energy Physics - Theory 2009-11-07 v3 Mathematical Physics math.MP Quantum Physics

Abstract

We show that the Seiberg-Witten map for a noncommutative gauge theory involves a noncommutative 1-cocycle. The cocycle condition enforces a consistency requirement, which has been previously derived.

Keywords

Cite

@article{arxiv.hep-th/0201251,
  title  = {Noncommutative 1-cocycle in the Seiberg-Witten map},
  author = {R. Jackiw and S. -Y. Pi},
  journal= {arXiv preprint arXiv:hep-th/0201251},
  year   = {2009}
}

Comments

6 pages; email correspondence to R. Jackiw <jackiw@lns.mit.edu>; missing factors of i inserted, one reference added

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