KNOT OPERATORS IN CHERN-SIMONS GAUGE-THEORY

被引：60
|
作者：
LABASTIDA, JMF [1 ]
LLATAS, PM [1 ]
RAMALLO, AV [1 ]
机构：
[1] UNIV SANTIAGO, DEPT PARTICULAS ELEMENTALES, E-15706 SANTIAGO, SPAIN
来源：
NUCLEAR PHYSICS B | 1991年 / 348卷 / 03期
关键词：
D O I：
10.1016/0550-3213(91)90209-G
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 operator formalism for Chern-Simons gauge theory with gauge group SU(N) is presented. The connection with rational conformal field theory is shown explicitly by identifying a basis for the Hilbert space of the theory with the set of characters corresponding to a Wess-Zumino-Witten model for SU(N). Knot operators are constructed performing the calculation of matrix elements of Wilson line operators on this Hilbert space. Using these operators a representation of the Verlinde operators in the context of Chern-Simons gauge theory is obtained. As an application of the use of these operators to knot theory, the Jones polynomial for toral knots is explicitly computed.
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页码：651 / 692
页数：42
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