Abelian BF theory and Turaev-Viro invariant

被引：11

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.

引用

页数：31

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