Supersymmetric Conical Defects: Towards a string theoretic description of black hole formation
Abstract
Conical defects, or point particles, in AdS_3 are one of the simplest non-trivial gravitating systems, and are particularly interesting because black holes can form from their collision. We embed the BPS conical defects of three dimensions into the N=4b supergravity in six dimensions, which arises from IIB string theory compactified on K3. The required Kaluza-Klein reduction of the six dimensional theory on a sphere is analyzed in detail, including the relation to the Chern-Simons supergravities in three dimensions. We show that the six dimensional spaces obtained by embedding the 3d conical defects arise in the near-horizon limit of rotating black strings. Various properties of these solutions are analyzed and we propose a representation of our defects in the CFT dual to asymptotically AdS_3 x S^3 spaces. Our work is intended as a first step towards analyzing colliding defects that form black holes.
Cite
@article{arxiv.hep-th/0011217,
title = {Supersymmetric Conical Defects: Towards a string theoretic description of black hole formation},
author = {Vijay Balasubramanian and Jan de Boer and Esko Keski-Vakkuri and Simon F. Ross},
journal= {arXiv preprint arXiv:hep-th/0011217},
year = {2011}
}
Comments
LaTeX2e, 39 pages. v2: References added, corrected discussion of Kaluza-Klein ansatz