Gerbes in classical Chern-Simons theory
High Energy Physics - Theory
2007-05-23 v2
Abstract
We construct geometrically a gerbe assigned to a connection on a principal SU(2)-bundle over an oriented closed 1-dimensional manifold. If the connection is given by the restriction of a connection on a bundle over a compact 2-manifold bounding the 1-manifold, then we have a natural object in the gerbe. The gerbes and the objects satisfy certain fundamental properties, e.g. gluing law.
Keywords
Cite
@article{arxiv.hep-th/0105072,
title = {Gerbes in classical Chern-Simons theory},
author = {Kiyonori Gomi},
journal= {arXiv preprint arXiv:hep-th/0105072},
year = {2007}
}
Comments
18 pages. We make some small corrections