Supersymmetric Conical Defects: Towards a string theoretic description of black hole formation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX2e, 39 pages. v2: References added, corrected discussion of Kaluza-Klein ansatz

Scientific paper

10.1103/PhysRevD.64.064011

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.

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