The universal gerbe, Dixmier-Douady class, and gauge theory
High Energy Physics - Theory
2008-11-26 v2 Differential Geometry
Abstract
We clarify the relation between the Dixmier-Douady class on the space of self adjoint Fredholm operators (`universal B-field') and the curvature of determinant bundles over infinite-dimensional Grassmannians. In particular, in the case of Dirac type operators on a three dimensional compact manifold we obtain a simple and explicit expression for both forms.
Cite
@article{arxiv.hep-th/0107207,
title = {The universal gerbe, Dixmier-Douady class, and gauge theory},
author = {Alan L. Carey and Jouko Mickelsson},
journal= {arXiv preprint arXiv:hep-th/0107207},
year = {2008}
}
Comments
13 pages, no figures