On moduli spaces of flat connections with non-simply connected structure group
High Energy Physics - Theory
2009-10-30 v1 alg-geom
Algebraic Geometry
Abstract
We consider the moduli space of flat G-bundles over the twodimensional torus, where G is a real, compact, simple Lie group which is not simply connected. We show that the connected components that describe topologically non-trivial bundles are isomorphic as symplectic spaces to moduli spaces of topologically trivial bundles with a different structure group. Some physical applications of this isomorphism which allows to trade topological non-triviality for a change of the gauge group are sketched.
Cite
@article{arxiv.hep-th/9611092,
title = {On moduli spaces of flat connections with non-simply connected structure group},
author = {Christoph Schweigert},
journal= {arXiv preprint arXiv:hep-th/9611092},
year = {2009}
}
Comments
12 pages, LaTeX