Quantum Anomalies for Generalized Euclidean Taub-Newman Metrics

Details Quantum Anomalies for Generalized Euclidean Taub-Newman Metrics Quantum Anomalies for Generalized Euclidean Taub-Newman Metrics

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.2656v&link_type=abstract

"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an

Computer Science

Scientific paper

We investigate the gravitational and axial anomalies with regard to quadratic constants of motion for the Euclidean Taub-Newman-Unti-Tamburino (Taub-NUT) space and its generalizations as was done by Iwai and Katayama. The generalized Taub-NUT metrics exhibit in general gravitational anomalies. This is in contrast with the fact that the standard Taub-NUT metric does not exhibit gravitational anomalies, which is a consequence of the fact that it admits Killing-Yano tensors forming Stäckel-Killing tensors as products. For the axial anomaly, interpreted as the index of the Dirac operator, the role of Killing-Yano tensors is irrelevant. We compute the index of the Dirac operator for the generalized Taub-NUT metrics with the APS boundary conditions and find these metrics do not contribute to the axial anomaly for not too large deformations of the standard Taub-NUT metric.

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