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.

引用

页码：731 / 771

页数：41

共 27 条

[21] ANYONIC FRT CONSTRUCTION [J].

MAJID, S ;

RODRIGUEZPLAZA, MJ .

CZECHOSLOVAK JOURNAL OF PHYSICS, 1994, 44 (11-12) :1073-1080

[22]

MAJID S, 1994, GEN SYMMETRIES PHYSI, P13

[23]

MAJID S, 1993, QUANTUM GROUPS INTEG, P231

[24]

Majid S., 1992, Sobotka Castle, Fund. Theories Phys., V52, P327

[25]

Majid S., 1995, FDN QUANTUM GROUP TH

[26]

MAJID S, IN PRESS MATH P CAMB

[27] QUANTUM GROUPS AND REPRESENTATIONS OF MONOIDAL CATEGORIES [J].

YETTER, DN .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1990, 108 :261-292

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