The slowly rotating near extremal D1-D5 system as a `hot tube'

TL;DR

This paper analyzes the D1-D5 system with small angular momentum, revealing a long throat geometry that traps low-energy quanta, forming a 'hot tube' with black hole-like emission properties.

Contribution

It provides an exact solution to the scalar wave equation in the D1-D5 geometry, demonstrating long-lived trapping and nonlinear effects at the throat's end, and introduces the 'hot tube' concept.

Findings

Low-energy quanta reflect and are trapped in the throat for extended periods.

The throat length matches the effective string length in the CFT.

Multiple quanta fill the throat, producing emission similar to near extremal black holes.

Abstract

The geometry of the D1-D5 system with a small angular momentum j has a long throat ending in a conical defect. We solve the scalar wave equation for low energy quanta in this geometry. The quantum is found to reflect off the end of the throat, and stay trapped in the throat for a long time. The length of the throat for j=1/2 equals n_1n_5 R, the length of the effective string in the CFT; we also find that at this distance the incident wave becomes nonlinear. Filling the throat with several quanta gives a `hot tube' which has emission properties similar to those of the near extremal black hole.