SU(3) CHERN-SIMONS FIELD-THEORY IN 3-MANIFOLDS

被引：2
作者：
GUADAGNINI, E
PILO, L
机构：
[1] Dipartimento di Fisica dell'Università di Pisa, Instituto Nazionale di Fisica Nucleare, Sezione di Pisa, 56100 Pisa, Piazza Torricelli
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 1994年 / 14卷 / 04期
关键词：
SU(3) CHERN-SIMONS FIELD THEORY; 3-MANIFOLDS;
D O I：
10.1016/0393-0440(94)90041-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present the solution of the non-Abelian SU (3) Chern-Simons field theory defined in a generic three-manifold which is closed, connected and orientable. The surgery rules, which permit us to solve the theory, are derived and several examples of vacuum expectation values of Wilson line operators are computed. The three-manifold invariant associated with the non-Abelian SU (3) Chern-Simons model is defined and its values are computed for various three-manifolds.
引用
收藏
页码：365 / 404
页数：40
相关论文
共 26 条
[1]   INFINITE CONFORMAL SYMMETRY IN TWO-DIMENSIONAL QUANTUM-FIELD THEORY [J].
BELAVIN, AA ;
POLYAKOV, AM ;
ZAMOLODCHIKOV, AB .
NUCLEAR PHYSICS B, 1984, 241 (02) :333-380
[2]  
DRINFELD VG, 1990, PROBLEMS MODERN QUAN
[3]   KIRBY CALCULUS OF LINKS [J].
FENN, R ;
ROURKE, C .
TOPOLOGY, 1979, 18 (01) :1-15
[4]   STRING THEORY ON GROUP-MANIFOLDS [J].
GEPNER, D ;
WITTEN, E .
NUCLEAR PHYSICS B, 1986, 278 (03) :493-549
[5]   TOPOLOGICAL FIELD-THEORY AND SURGERY ON 3-MANIFOLDS [J].
GUADAGNINI, E ;
PANICUCCI, S .
NUCLEAR PHYSICS B, 1992, 388 (01) :159-226
[6]   TOPOLOGICAL INVARIANTS IN 2 AND 3 DIMENSIONS [J].
GUADAGNINI, E .
NUCLEAR PHYSICS B, 1993, 404 (1-2) :385-426
[7]   SURGERY RULES IN QUANTUM CHERN-SIMONS FIELD-THEORY [J].
GUADAGNINI, E .
NUCLEAR PHYSICS B, 1992, 375 (02) :381-398
[8]  
GUADAGNINI E, UNPUB
[9]  
Guadagnini E., 1993, DEGRUYTER EXPOSITION, V10
[10]  
GUADAGNINI E, IN PRESS J GEOM PHYS
123