The universal gerbe, Dixmier-Douady class, and gauge theory

被引：19
|
作者：
Carey, AL [1 ]
Mickelsson, J
机构：
[1] Univ Adelaide, Dept Math, Adelaide, SA 5005, Australia
[2] SCFAB, Royal Inst Technol, SE-10691 Stockholm, Sweden
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2002年 / 59卷 / 01期
基金：
澳大利亚研究理事会;
关键词：
gerbes; determinant bundles; Hamiltonian quantization; index theory;
D O I：
10.1023/A:1014456501506
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We clarify the relation between the Dixmier-Douady class on the space of self-adjoint Fredholm operators ("universal B-field") and the curvature of determinant bundles over infinite-dimensional Grassmannians. In particular, in the case of Dirac type operators on a three dimensional compact manifold we obtain a simple and explicit expression for both forms.
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页码：47 / 60
页数：14
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