Abelian BF theory and Turaev-Viro invariant

被引：10
|
作者：
Mathieu, P. [1 ]
Thuillier, F. [1 ]
机构：
[1] Univ Savoie, CNRS, LAPTH, 9 Chemin Bellevue,BP 110, F-74941 Annecy Le Vieux, France
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2016年 / 57卷 / 02期
关键词：
TOPOLOGICAL GAUGE-THEORIES; CHERN-SIMONS THEORY; DIFFERENTIAL CHARACTERS; FIELD-THEORY; 3-MANIFOLDS; COHOMOLOGY; FINITENESS; DUALITY; MODELS; GERBES;
D O I：
10.1063/1.4942046
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The U(1) BF quantum field theory is revisited in the light of Deligne-Beilinson cohomology. We show how the U(1) Chern-Simons partition function is related to the BF one and how the latter on its turn coincides with an abelian Turaev-Viro invariant. Significant differences compared to the non-abelian case are highlighted. (C) 2016 AIP Publishing LLC.
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页数：31
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