The Faddeev-Mickelsson-Shatashvili anomaly and lifting bundle gerbes
Differential Geometry
2015-06-03 v3 High Energy Physics - Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1112.1752,
title = {The Faddeev-Mickelsson-Shatashvili anomaly and lifting bundle gerbes},
author = {Pedram Hekmati and Michael K. Murray and Danny Stevenson and Raymond F. Vozzo},
journal= {arXiv preprint arXiv:1112.1752},
year = {2015}
}
Comments
15 pages, v2: minor terminology changed, v3: references added