$L^2$-index of the Dirac operator of generalized Euclidean Taub-NUT metrics

Details $L^2$-index of the Dirac operator of generalized Euclidean Taub-NUT metrics $L^2$-index of the Dirac operator of generalized Euclidean Taub-NUT metrics

2005-11-07

arxiv.org/abs/math-ph/0511025v1

J. Phys. A: Math. Gen. 39 (2006) 6575-6581

Physics

Mathematical Physics

8 pages, LaTeX, no figures, submitted to the Proceedings of the Workshop QFEXT'05, Barcelona, Spain

Scientific paper

10.1088/0305-4470/39/21/S56

We compute the axial anomaly for the Taub-NUT metric on $R^4$. We show that
the axial anomaly for the generalized Taub-NUT metrics introduced by Iwai and
Katayama is finite, although the Dirac operator is not Fredholm. We show that
the essential spectrum of the Dirac operator is the whole real line.

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