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Toda fields of SO(3) hyper-Kahler metrics and free field realizations | | I. Bakas
; K. Sfetsos
; | | Date: |
1 Apr 1996 | | Journal: | Int.J.Mod.Phys. A12 (1997) 2585-2612 | | Subject: | hep-th | | Abstract: | 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. | | Source: | arXiv, hep-th/9604003 | | Services: | Forum | Review | PDF | Favorites | |
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