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MiS Preprint
17/2014

Dynamical torsion in view of a distinguished class of Dirac operators

Jürgen Tolksdorf

Abstract

In this paper we discuss geometric torsion in terms of a distinguished class of Dirac operators. We demonstrate that from this class of Dirac operators a variational problem for torsion can be derived similar to that of Yang-Mills gauge theory. As a consequence, one ends up with a propagating torsion even in vacuum as opposed to the usual variational problem encountered in ordinary Einstein-Cartan theory.

Received:
17.02.2014
Published:
25.02.2014
MSC Codes:
15A66, 49S05, 53C80
PACS:
11,15.q, 45.10.Na, 02.40.Hw
Keywords:
clifford modules, Dirac operators, Torsion

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Preprint
2014 Repository Open Access
Jürgen Tolksdorf

Dynamical torsion in view of a distinguished class of Dirac operators