Toric Kähler metrics and AdS<sub>5</sub> in ring-like co-ordinates
Bobby S. Acharya; Suresh Govindarajan; Chethan N. Gowdigere
Журнал:
Journal of High Energy Physics
Дата:
2007-11-01
Аннотация:
Stationary, supersymmetric supergravity solutions in five dimensions have Kähler metrics on the four-manifold orthogonal to the orbits of a time-like Killing vector. We show that an explicit class of toric Kähler metrics provide a unified framework in which to describe both the asymptotically flat and asymptotically AdS solutions. The Darboux co-ordinates used for the local description turn out to be ``ring-like.'' We conclude with an ansatz for studying the existence of supersymmetric black rings in AdS.
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