Explicit Derivation of New Hyper-Kahler metric
نویسنده
چکیده
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.
منابع مشابه
Toda Fields of So(3) Hyper–kahler Metrics
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...
متن کاملToda 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...
متن کاملBranes, Instantons, And Taub-NUT Spaces
ALE and Taub-NUT (or ALF) hyper-Kahler four-manifolds can be naturally constructed as hyper-Kahler quotients. In the ALE case, this construction has long been understood in terms of D-branes; here we give a D-brane derivation in the Taub-NUT case. Likewise, instantons on ALE spaces and on Taub-NUT spaces have ADHM-like constructions related to hyper-Kahler quotients. Here we refine the analysis...
متن کاملNew Spin ( 7 ) holonomy metrics admitting G 2 holonomy reductions and M - theory / IIA dualities
As is well known, when D6 branes wrap a special lagrangian cycle on a non compact CY 3-fold in such a way that the internal string frame metric is Kahler there exists a dual description, which is given in terms of a purely geometrical eleven dimensional background with an internal metric of G2 holonomy. It is also known that when D6 branes wrap a coassociative cycle of a non compact G2 manifold...
متن کاملTaub-NUT Spacetime in the (A)dS/CFT and M-Theory
In the following thesis, I will conduct a thermodynamic analysis of the Taub-NUT spacetime in various dimensions, as well as show uses for TaubNUT and other Hyper-Kahler spacetimes. Thermodynamic analysis (by which I mean the calculation of the entropy and other thermodynamic quantities, and the analysis of these quantities) has in the past been done by use of background subtraction. The recent...
متن کامل