The Seiberg-Witten Map on the Fuzzy Sphere

Details The Seiberg-Witten Map on the Fuzzy Sphere The Seiberg-Witten Map on the Fuzzy Sphere

2003-10-19

arxiv.org/abs/hep-th/0310179v2

JHEP 0312 (2003) 001

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, references added

Scientific paper

We construct covariant coordinate transformations on the fuzzy sphere and utilize these to construct a covariant map from a gauge theory on the fuzzy sphere to a gauge theory on the ordinary sphere. We show that this construction coincides with the Seiberg-Witten map on the Moyal plane in the appropriate limit. The analysis takes place in the algebra and is independent of any star-product representation.

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