$L^2$-index of the Dirac operator of generalized Euclidean Taub-NUT metrics
Mathematical Physics
2009-11-11 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
We compute the axial anomaly for the Taub-NUT metric on . 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.
Cite
@article{arxiv.math-ph/0511025,
title = {$L^2$-index of the Dirac operator of generalized Euclidean Taub-NUT metrics},
author = {Sergiu Moroianu and Mihai Visinescu},
journal= {arXiv preprint arXiv:math-ph/0511025},
year = {2009}
}
Comments
8 pages, LaTeX, no figures, submitted to the Proceedings of the Workshop QFEXT'05, Barcelona, Spain