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

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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

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High Energy Physics - Theory, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/179373

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/0107207
 http://arxiv.org/abs/hep-th/0107207
 Lett.Math.Phys.59:47-60,2002
 doi:10.1023/A:1014456501506

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arXiv