Moduli Dynamics of AdS_3 Strings

TL;DR

This paper develops a method to construct and analyze classical string solutions in AdS_3 spacetime using Pohlmeyer reduction and soliton techniques, revealing that string moduli are governed by soliton parameters.

Contribution

It introduces a general class of AdS_3 string solutions based on sinh-Gordon solitons, linking string moduli directly to soliton moduli, which is a novel analytical approach.

Findings

Exact N-soliton solutions for AdS_3 strings are constructed.

String moduli are fully determined by soliton parameters.

The inverse scattering method reconstructs explicit string configurations.

Abstract

We construct a general class of solutions for a classical string in AdS_3 spacetime. The construction is based on a Pohlmeyer type reduction, with the sinh-Gordon model providing the general N-soliton solutions. The corresponding exact spiky string configurations are then reconstructed through the inverse scattering method. It is shown that the string moduli are determined entirely by those of the solitons.