Fermions on curved spaces, symmetries, and quantum anomalies

Journal Article · Mon Apr 23 00:00:00 EDT 2007 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2733191· OSTI ID:21057166

Visinescu, Mihai ^[1]

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1. 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

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIRAC EQUATION
DIRAC OPERATORS
EUCLIDEAN SPACE
FERMIONS
INDEXES
METRICS
QUANTUM GRAVITY
SMOOTH MANIFOLDS
SYMMETRY
VECTORS