Loop observables for BF theories in any dimension and the cohomology of knots

被引：11
|
作者：
Cattaneo, AS
Cotta-Ramusino, P
Rossi, CA
机构：
[1] Univ Zurich Irchel, Inst Math, CH-8057 Zurich, Switzerland
[2] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy
[3] Ist Nazl Fis Nucl, Sex Milano, I-20133 Milan, Italy
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2000年 / 51卷 / 04期
关键词：
BF theory; Chern-Simons theory; topological quantum field theories; Wilson loops; Chen's iterated integrals; ghosts and antighosts; ghosts for ghosts; Batalin-Vilkovisky (BV) formalism; superconnections; cohomology of knots;
D O I：
10.1023/A:1007629020730
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A generalization of Wilson loop observables for BF theories in any dimension is introduced within the Batalin-Vilkovisky framework. The expectation values of these observables are cohomology classes of the space of imbeddings of a circle. One of the resulting theories discussed in the Letter has only trivalent interactions and, irrespective of the actual dimension, looks like a three-dimensional Chern-Simons theory.
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页码：301 / 316
页数：16
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