Unbounded Multi-Magnon and Spike

TL;DR

This paper extends the magnon solution in string theory to multiple unbounded magnons and spikes, deriving their dispersion relations and finite size effects within the AdS/CFT correspondence framework.

Contribution

It introduces a generalized unbounded multi-magnon and spike solution in the string sigma model, expanding understanding of solitonic configurations in AdS spaces.

Findings

Derived dispersion relations for multi-magnon and spike configurations.

Analyzed finite size effects in these solitonic solutions.

Connected string solutions to spin chain models in the large 't Hooft coupling limit.

Abstract

We generalize the one magnon solution in R X S^2 to unbounded M magnon and find the corresponding solitonic string configuration in the string sigma model. This configuration gives rise to the expected dispersion relation obtained from the spin chain model in the large 't Hooft coupling limit. After considering (M,M) multi-magnon or spike on R X S^2 X S^2 as a subspace of AdS(5)XS^5 or AdS(4)XCP^3, we investigate the dispersion relation and the finite size effect for (M,M) multi-magnon or spike.