Generating string solutions in BTZ

TL;DR

This paper constructs classical string solutions in the BTZ black hole background using the dressing method, revealing configurations like open strings, minimal surfaces, and giant gluons with potential implications for holography.

Contribution

It applies the dressing method to generate explicit classical string solutions in BTZ, including open strings, minimal surfaces, and giant gluons, advancing understanding of string dynamics in black hole backgrounds.

Findings

Open strings pinned at the boundary with giant magnon-like dispersion relations

Minimal surfaces penetrating the black hole horizon

Embedded giant gluon solutions as spirals and spikes

Abstract

Integrability of classical strings in the BTZ black hole enables the construction and study of classical string propagation in this background. We first apply the dressing method to obtain classical string solutions in the BTZ black hole. We dress time like geodesics in the BTZ black hole and obtain open string solutions which are pinned on the boundary at a single point and whose end points move on time like geodesics. These strings upon regularising their charge and spins have a dispersion relation similar to that of giant magnons. We then dress space like geodesics which start and end on the boundary of the BTZ black hole and obtain minimal surfaces which can penetrate the horizon of the black hole while being pinned at the boundary. Finally we embed the giant gluon solutions in the BTZ background in two different ways. They can be embedded as a spiral which contracts and expands touching the horizon or a spike which originates from the boundary and touches the horizon.