Solitons and AdS String Solutions

TL;DR

This paper reviews and extends soliton-based methods for constructing classical AdS string solutions, facilitating the study of rotating configurations with spikes related to higher twist operators in SYM theory.

Contribution

It introduces and elaborates on inverse scattering techniques to generate AdS string solutions from sinh-Gordon solitons, enhancing understanding of string-soliton correspondence.

Findings

Extended the soliton-string spike correspondence.

Applied inverse scattering to AdS3 string configurations.

Provided methods for reconstructing string solutions from solitons.

Abstract

In this contribution we describe some soliton based techniques for generating classical AdS string solutions. The methods introduced are useful for further understanding of rotating AdS configurations with spikes which correspond to higher twist operators in SYM theory. The main identification (accomplished in arXiv:0712.1193) between solitons and string spikes is reviewed and extended. We describe how inverse scattering technique can be applied for reconstructing AdS string configurations from soliton solutions of sinh-Gordon theory (in the example of ${\rm AdS}_3$).