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Toric Kähler metrics and AdS5 in ring-like co-ordinates

Bobby S. Acharya1, Suresh Govindarajan2 and Chethan N. Gowdigere1

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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.

Keywords

Black Holes

Black Holes in String Theory

 

E-print Number: hep-th/0612302

Cited: by |

Refers: to

PACS

11.30.Pb Supersymmetry

04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics

04.50.-h Higher-dimensional gravity and other theories of gravity

04.65.+e Supergravity

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 11 (November 2007)

Received 31 October 2007, accepted for publication 7 November 2007

Published 20 November 2007



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