منابع مشابه
Explicit Derivation of New Hyper-Kahler metric
Using the harmonic superspace techniques in D=2 N=4, we present an explicit derivation of a new hyper-Kahler metric associated to the Toda like self interaction H 4+ (ω, u) = (ξ ++ λ) 2 exp(2λω). Some important features are also discussed.
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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 pur...
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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...
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An m-dimensional locally conformal Khler manifold (l.c.K-manifold) is characterized as a Hermitian manifold admitting a global closed 1-form a%(called the Lee form) whose structure (F%,g%) satisfies VF -8g + 8g F + aF, where ? denotes the covariant differentiation with respect to the Hermitian metric gl, 8 -Fl a, Fl F gel and the indices 9, ,l run over the range 1,2, m. For l.c.K-manifolds, I.V...
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We classify the Kähler metrics on compact manifolds of complex dimension two that are solitons for the constant-volume Ricci flow, assuming that the curvature is slightly more positive than that of the single known example of a soliton in this dimension.
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ژورنال
عنوان ژورنال: Modern Physics Letters A
سال: 2000
ISSN: 0217-7323,1793-6632
DOI: 10.1142/s0217732300001638