Fermions on curved spaces, symmetries, and quantum anomalies

Details Fermions on curved spaces, symmetries, and quantum anomalies Fermions on curved spaces, symmetries, and quantum anomalies

Apr 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aipc..899..371v&link_type=abstract

SIXTH INTERNATIONAL CONFERENCE OF THE BALKAN PHYSICAL UNION. AIP Conference Proceedings, Volume 899, pp. 371-372 (2007).

Physics

Relativistic Wave Equations

Scientific paper

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.

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