Symmetries of the Dirac operator with skew-symmetric torsion
File(s)
Accepted version
Author(s)
Houri, T
Kubizňák, D
Warnick, C
Yasui, Y
Type
Journal Article
Abstract
In this paper, we consider the symmetries of the Dirac operator derived from a connection with skew-symmetric torsion, ∇T. 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 Kähler with torsion (KT) and strong hyper-Kähler with torsion (HKT) manifolds.
Date Issued
2010-08-04
Date Acceptance
2010-08-04
Citation
Classical and Quantum Gravity, 2010, 27 (18)
ISSN
1361-6382
Publisher
IOP Publishing
Journal / Book Title
Classical and Quantum Gravity
Volume
27
Issue
18
Copyright Statement
© 2010 IOP Publishing Ltd. This is an author-created, un-copyedited version of an article accepted for publication in Classical and Quantum Gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher authenticated version is available online at http://dx.doi.org/10.1088/0264-9381/27/18/185019
Subjects
Nuclear & Particles Physics
02 Physical Sciences
01 Mathematical Sciences
Publication Status
Published
Article Number
185019