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

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.

13 pages, no figures

References in corpus (1)

• Anomalies and Schwinger terms in NCG field theory models

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