Toda Fields of So(3) Hyper–kahler Metrics
نویسندگان
چکیده
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. Contribution to the proceedings of the 29th International Symposium Ahrenshoop on the Theory of Elementary Particles, Buckow, Germany, 29 August 2 September 1995 (invited talk given by I. Bakas); to appear in Nuclear Physics B Supplement
منابع مشابه
Toda Fields of So(3) Hyper–kahler Metrics and Free Field Realizations
The Eguchi–Hanson, Taub–NUT and Atiyah–Hitchin metrics are the only complete non–singular SO(3)–invariant hyper–Kahler metrics in four dimensions. The presence of a rotational SO(2) isometry allows for their unified treatment based on solutions of the 3–dim continual Toda equation. We determine the Toda potential in each case and examine the free field realization of the corresponding solutions...
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