Diagrammatics of braided group gauge theory

被引：6
|
作者：
Majid, S [1 ]
机构：
[1] Harvard Univ, Dept Math, Ctr Sci, Cambridge, MA 02138 USA
[2] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 9EW, England
来源：
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 1999年 / 8卷 / 06期
关键词：
noncommutative geometry; braided groups; gauge theory; principal bundles; connections; fiber bundle; anyonic symmetry;
D O I：
10.1142/S021821659900047X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We develop a gauge theory or theory of bundles and connections on them at the level of braids and tangles. Extending recent algebraic work, we provide now a fully diagrammatic treatment of principal bundles, a theory of global gauge transformations, associated braided fiber bundles and covariant derivatives on them. We describe the local structure for a concrete Z(3)-graded or 'anyonic' realization of the theory.
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页码：731 / 771
页数：41
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