Toda Fields of SO(3) Hyper-Kahler Metrics
High Energy Physics - Theory
2009-10-30 v1
Abstract
We examine the Toda frame formulation of the SO(3)-invariant hyper-Kahler 4-metrics, namely Eguchi-Hanson, Taub-NUT and Atiyah-Hitchin. Our method exploits the presence of a rotational SO(2) isometry, leading to the explicit construction of all three complex structures as a singlet plus a doublet. The Atiyah-Hitchin metric on the moduli space of BPS SU(2) monopoles with magnetic charge 2 is purely rotational.
Keywords
Cite
@article{arxiv.hep-th/9601087,
title = {Toda Fields of SO(3) Hyper-Kahler Metrics},
author = {I. Bakas and K. Sfetsos},
journal= {arXiv preprint arXiv:hep-th/9601087},
year = {2009}
}
Comments
9 pages, Latex; contribution to the proceedings of the Buckow Symposium (to appear in Nucl Phys B Supplement)