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 nontrivial 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 the IIB string theory compactified on K3. The required KaluzaKlein reduction of the six dimensional theory on a sphere is analyzed in detail, including the relation to the ChernSimons supergravities in three dimensions. We show that the six dimensional spaces obtained by embedding the 3D conical defects arise in the nearhorizon 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}×S^{3} spaces. Our work is intended as a first step towards analyzing colliding defects that form black holes.
 Publication:

Physical Review D
 Pub Date:
 September 2001
 DOI:
 10.1103/PhysRevD.64.064011
 arXiv:
 arXiv:hepth/0011217
 Bibcode:
 2001PhRvD..64f4011B
 Keywords:

 04.65.+e;
 04.50.+h;
 11.25.Hf;
 Supergravity;
 Gravity in more than four dimensions KaluzaKlein theory unified field theories;
 alternative theories of gravity;
 Conformal field theory algebraic structures;
 High Energy Physics  Theory
 EPrint:
 LaTeX2e, 39 pages. v2: References added, corrected discussion of KaluzaKlein ansatz