Symmetries of the Dirac operator with skew-symmetric torsion

Details Symmetries of the Dirac operator with skew-symmetric torsion Symmetries of the Dirac operator with skew-symmetric torsion

2010-02-18

arxiv.org/abs/1002.3616v1

Class.Quant.Grav.27:185019,2010

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, no figures

Scientific paper

10.1088/0264-9381/27/18/185019

In this paper, we consider the symmetries of the Dirac operator derived from a connection with skew-symmetric torsion. We find that the generalized conformal Killing-Yano tensors give rise to symmetry operators of the massless Dirac equation, provided an explicitly given anomaly vanishes. We show that this gives rise to symmetries of the Dirac operator in the case of strong Kahler with torsion (KT) and strong hyper-Kahler with torsion (HKT) manifolds.

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