Fermions on curved spaces, symmetries, and quantum anomalies
Journal Article
·
· AIP Conference Proceedings
- Department of Theoretical Physics, National Institute for Physics and Nuclear Engineering - 'Horia Hulubei', IFIN-HH, P.O.Box M.G.-6, Magurele, Bucharest (Romania)
Investigating the Dirac equation in curved backgrounds we point out the role of the Killing-Yano tensors in the construction of the Dirac-type operators. The gravitational and axial anomalies are studied for generalized Euclidean Taub-Newman-Unti-Tamburino (Taub-NUT) metrics, which admit hidden symmetries analogous to the Runge-Lenz vector of the Kepler-type problem. The generalized Taub-NUT metrics exhibit in general gravitational anomalies. Using the Atiyah-Patodi-Singer index theorem for manifolds with boundaries, it is shown that these metrics make no contribution to the axial anomaly.
- OSTI ID:
- 21057166
- Journal Information:
- AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 899; ISSN APCPCS; ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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