The Seiberg-Witten Map on the Fuzzy Sphere
High Energy Physics - Theory
2007-05-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0310179,
title = {The Seiberg-Witten Map on the Fuzzy Sphere},
author = {Jesper M. Grimstrup and Thordur Jonsson and Larus Thorlacius},
journal= {arXiv preprint arXiv:hep-th/0310179},
year = {2007}
}
Comments
30 pages, references added