Toric Kahler metrics and AdS_5 in ring-like co-ordinates
High Energy Physics - Theory
2014-11-18 v2 General Relativity and Quantum Cosmology
Abstract
Stationary, supersymmetric supergravity solutions in five dimensions have Kahler metrics on the four-manifold orthogonal to the orbits of a time-like Killing vector. We show that an explicit class of toric Kahler 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
Cite
@article{arxiv.hep-th/0612302,
title = {Toric Kahler metrics and AdS_5 in ring-like co-ordinates},
author = {Bobby S. Acharya and Suresh Govindarajan and Chethan N. Gowdigere},
journal= {arXiv preprint arXiv:hep-th/0612302},
year = {2014}
}
Comments
A new appendix derives the explicit co-ordinate transformation between the ``ring-like'' co-ordinates and the polar co-ordinates of global AdS. Also, references added