Higher dimensional abelian Chern-Simons theories and their link invariants

被引：9

作者：

Gallot, L. ^{[1
]}

Pilon, E. ^{[1
]}

Thuillier, F. ^{[1
]}

机构：

[1] Univ Savoie, LAPTH, CNRS, F-74941 Annecy Le Vieux, France

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2013年 / 54卷 / 02期

关键词：

DIFFERENTIAL CHARACTERS; SELF-LINKING; BRAID;

D O I：

10.1063/1.4791677

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The role played by Deligne-Beilinson cohomology in establishing the relation between Chern-Simons theory and link invariants in dimensions higher than three is investigated. Deligne-Beilinson cohomology classes provide a natural abelian Chern-Simons action, non trivial only in dimensions 4l + 3, whose parameter k is quantized. The generalized Wilson (2l + 1)-loops are observables of the theory and their charges are quantized. The Chern-Simons action is then used to compute invariants for links of (2l + 1)-loops, first on closed (4l + 3)-manifolds through a novel geometric computation, then on R4l+3 through an unconventional field theoretic computation. (C) 2013 American Institute of Physics. [http://dx.doi.org/10.1063/1.4791677]

引用

页数：27