Black Hole Formation at the Correspondence Point

TL;DR

This paper investigates bound state formation during D-brane collisions, comparing weak and strong coupling mechanisms, and finds agreement at the correspondence point through matching physical parameters and timescales.

Contribution

It demonstrates the qualitative agreement between gauge theory pair creation and supergravity black hole formation at the correspondence point.

Findings

Size of bound state matches at the correspondence point

Timescale for bound state formation agrees across descriptions

Parametric resonance matches quasinormal mode in supergravity

Abstract

We study the process of bound state formation in a D-brane collision. We consider two mechanisms for bound state formation. The first, operative at weak coupling in the worldvolume gauge theory, is pair creation of W-bosons. The second, operative at strong coupling, corresponds to formation of a large black hole in the dual supergravity. These two processes agree qualitatively at intermediate coupling, in accord with the correspondence principle of Horowitz and Polchinski. We show that the size of the bound state and timescale for formation of a bound state agree at the correspondence point. The timescale involves matching a parametric resonance in the gauge theory to a quasinormal mode in supergravity.