Symmetries of the Dirac operator with skew-symmetric torsion
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Abstract
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.
Description
Keywords
KAHLER-MANIFOLDS, CURVED SPACETIME, STRING THEORY, YANO TENSORS, CONNECTIONS, EQUATION, GEOMETRY
Journal Title
CLASSICAL QUANT GRAV
Conference Name
Journal ISSN
0264-9381
1361-6382
1361-6382
Volume Title
27
Publisher
IOP Publishing
Publisher DOI
Rights
All rights reserved
Sponsorship
Science and Technology Facilities Council (ST/F002998/1)