The Faddeev-Mickelsson-Shatashvili Anomaly and Lifting Bundle Gerbes
The Faddeev-Mickelsson-Shatashvili Anomaly and Lifting Bundle Gerbes
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Faddeev-Mickelsson-Shatashvili 异常和升力束 Gerbes
DOI：
10.1007/s00220-012-1608-7
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发表时间：
2012
影响因子：
2.4
通讯作者：
Hekmati P
中科院分区：
文献类型：
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作者：
Hekmati P
在规范理论中，Faddeev-Mickelsson-Shatashvili 异常是规范群在射影福克空间束上作用的延长问题。在本文中，我们从束非洲菊的角度研究了这种异常现象，并给出了几种对障碍物的等效描述。这些包括具有非平凡结构群丛的提升丛非洲菊和与热量对应相关的丛非洲菊。
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.