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A universal spinor bundle and the Einstein–Dirac–Maxwell equation as a variational theory

Müller, Olaf ; Nowaczyk, Nikolai



Abstract

Not only the Dirac operator, but also the spinor bundle of a pseudo-Riemannian manifold depends on the underlying metric. This leads to technical difficulties in the study of problems where many metrics are involved, for instance in variational theory. We construct a natural finite dimensional bundle, from which all the metric spinor bundles can be recovered including their extra structure. In ...

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