Toda Fields of SO(3) Hyper-Kahler Metrics

Details Toda Fields of SO(3) Hyper-Kahler Metrics Toda Fields of SO(3) Hyper-Kahler Metrics

1996-01-17

arxiv.org/abs/hep-th/9601087v1

Nucl.Phys.Proc.Suppl. 49 (1996) 10-15

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, Latex; contribution to the proceedings of the Buckow Symposium (to appear in Nucl Phys B Supplement)

Scientific paper

10.1016/0920-5632(96)00310-6

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.

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