On a Certain Stratification of the Gauge Orbit Space
Mathematical Physics
2007-05-23 v1 High Energy Physics - Theory
Differential Geometry
math.MP
Abstract
For a principal -bundle over a compact manifold of dimension , we determine the orbit types of the action of the gauge group on the space of connections modulo pointed local gauge transformations. We find that they are given by Howe subgroups of for which a certain characteristic equation is solvable. Depending on the base manifold, this equation leads to a linear, bilinear, or quadratic Diophantine equation.
Keywords
Cite
@article{arxiv.math-ph/0104026,
title = {On a Certain Stratification of the Gauge Orbit Space},
author = {G. Rudolph and M. Schmidt},
journal= {arXiv preprint arXiv:math-ph/0104026},
year = {2007}
}
Comments
12 pages, 1 figure