The Seiberg-Witten map on the fuzzy sphere

被引:0
|
作者
Grimstrup, JM [1 ]
Jonsson, T [1 ]
Thorlacius, U [1 ]
机构
[1] Univ Iceland, Inst Sci, IS-107 Reykjavik, Iceland
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关键词
space-time symmetries; gauge symmetry; non-commutative geometry;
D O I
暂无
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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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页数:27
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