BRAIDS AND QUANTUM GROUP SYMMETRY IN CHERN-SIMONS THEORY

被引:79
作者
GUADAGNINI, E
MARTELLINI, M
MINTCHEV, M
机构
[1] CERN,CH-1211 GENEVA 23,SWITZERLAND
[2] UNIV GENEVA,DEPT MATH,CH-1211 GENEVA 4,SWITZERLAND
关键词
D O I
10.1016/0550-3213(90)90443-H
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
The monodromy matrices defined by the quantum holonomies acting on the physical state space of the Chern-Simons theory are derived. Up to equivalence, these matrices are reconstructed by means of a matrix-valued gauge connection satisfying the Gauss law. In terms of this connection, the relation of the Chern-Simons model with conformal field theory and quantum group is established. The braid group representation realized on the physical states is obtained. The quantum group symmetry appears as a hidden symmetry of the quantized theory. © 1990.
引用
收藏
页码:581 / 609
页数:29
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