The Faddeev–Mickelsson–Shatashvili Anomaly and Lifting Bundle Gerbes

被引：0
|
作者：
Pedram Hekmati
Michael K. Murray
Danny Stevenson
Raymond F. Vozzo
机构：
[1] University of Adelaide,School of Mathematical Sciences
[2] University of Glasgow,School of Mathematics and Statistics
来源：
Communications in Mathematical Physics | 2013年 / 319卷
关键词：
Gauge Group; Line Bundle; Dirac Operator; Central Extension; Projective Bundle;
D O I：
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中图分类号：
学科分类号：
摘要：
In gauge theory, the Faddeev–Mickelsson–Shatashvili anomaly arises as a prolongation problem for the action of the gauge group on a bundle of projective Fock spaces. In this paper, we study this anomaly from the point of view of bundle gerbes and give several equivalent descriptions of the obstruction. These include lifting bundle gerbes with non-trivial structure group bundle and bundle gerbes related to the caloron correspondence.
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页码：379 / 393
页数：14
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