The universal gerbe, Dixmier-Douady class, and gauge theory

Details The universal gerbe, Dixmier-Douady class, and gauge theory The universal gerbe, Dixmier-Douady class, and gauge theory

2001-07-24

arxiv.org/abs/hep-th/0107207v2

Lett.Math.Phys.59:47-60,2002

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, no figures

Scientific paper

10.1023/A:1014456501506

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.

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