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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

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:
Feb 17, 2014
Published:
Feb 25, 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