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Toda fields of SO(3) hyper-Kahler metrics and free field realizations

Bakas, I and Sfetsos, K (1996) Toda fields of SO(3) hyper-Kahler metrics and free field realizations Int.J.Mod.Phys. A, 12. pp. 2585-2612.

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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, using infinite power series expansions. The Atiyah-Hitchin metric exhibits some unusual features attributed to topological properties of the group of area preserving diffeomorphisms. The construction of a descending series of SO(2)-invariant 4-dim regular hyper-Kahler metrics remains an interesting question.

Item Type: Article
Divisions : Surrey research (other units)
Authors :
Bakas, I
Date : 1 April 1996
DOI : 10.1142/S0217751X97001456
Uncontrolled Keywords : hep-th, hep-th
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:27
Last Modified : 24 Jan 2020 22:17

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