Generating AdS String Solutions

TL;DR

This paper develops a method to generate classical string solutions in AdS spacetime using Pohlmeyer reduction, linking spikes in AdS_3 to sinh-Gordon solitons, and constructs various solutions via inverse scattering and dressing methods.

Contribution

It introduces a novel approach to generate AdS string solutions through Pohlmeyer reduction and connects different solution types with integrable system techniques.

Findings

Established correspondence between AdS_3 spikes and sinh-Gordon solitons

Constructed solutions for solitons, antisolitons, and breathers

Demonstrated methods to reproduce solutions via inverse scattering and dressing

Abstract

We use a Pohlmeyer type reduction to generate classical string solutions in AdS spacetime. In this framework we describe a correspondence between spikes in AdS_3 and soliton profiles of the sinh-Gordon equation. The null cusp string solution and its closed spinning string counterpart are related to the sinh-Gordon vacuum. We construct classical string solutions corresponding to sinh-Gordon solitons, antisolitons and breathers by the inverse scattering technique. The breather solutions can also be reproduced by the sigma model dressing method.