Open Access
2017 Topological Quantum Numbers of Dyonic Fields Over Taub-NUT and Taub-Bolt Spaces
Daniel Flores-Alfonso, Hernando Quevedo
J. Geom. Symmetry Phys. 44: 39-54 (2017). DOI: 10.7546/jgsp-44-2017-39-54


We calculate the Chern numbers of ${\rm SU}(2)$-homogeneous Einstein-Maxwell gravitational instantons with boundary at infinity. By restating these numbers as Chern-Simons invariants on the boundary apparent conflicting results emerge. We resolve this issue examining the topological stability of the self-gravitating Abelian fields. No quantization carrying physical meaning is found when the background is a Taub-NUT space. However the magnetic charge of dyons on Taub-Bolt spaces is found to be of topological quantum nature. In this framework electric charge is quantized by a consistency condition.


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Daniel Flores-Alfonso. Hernando Quevedo. "Topological Quantum Numbers of Dyonic Fields Over Taub-NUT and Taub-Bolt Spaces." J. Geom. Symmetry Phys. 44 39 - 54, 2017.


Published: 2017
First available in Project Euclid: 6 July 2017

zbMATH: 1378.83021
MathSciNet: MR3700456
Digital Object Identifier: 10.7546/jgsp-44-2017-39-54

Rights: Copyright © 2017 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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