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

TL;DR

This paper explores the embedding of conical defects in six-dimensional supergravity derived from string theory, aiming to understand black hole formation from defect collisions in AdS_3 spaces.

Contribution

It provides a detailed embedding of 3D conical defects into 6D supergravity and relates these to black string horizons, advancing the string theoretic understanding of black hole formation.

Findings

Embedded conical defects in 6D supergravity from string theory.

Connected defect solutions to near-horizon black string geometries.

Proposed a dual CFT description for the defects.

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.