Scattering of Giant Magnons in CP^3

TL;DR

This paper investigates the classical scattering phase of CP^2 dyonic giant magnons in AdS_4/CFT_3, constructing explicit solutions and confirming consistency with the conjectured S-matrix, highlighting polarization effects.

Contribution

It explicitly constructs two-soliton solutions for dyonic giant magnons in CP^3 and compares classical scattering phases with the conjectured S-matrix, revealing polarization dependence.

Findings

Classical time delays match the conjectured S-matrix predictions.

Dyonic solutions reveal polarization dependence in scattering phases.

Results support the integrability and validity of the conjectured S-matrix in strong coupling.

Abstract

We study classical scattering phase of CP^2 dyonic giant magnons in R_t x CP^3. We construct two-soliton solutions explicitly by the dressing method. Using these solutions, we compute the classical time delays for the scattering of giant magnons, and compare them to boundstate S-matrix elements derived from the conjectured AdS_4/CFT_3 S-matrix by Ahn and Nepomechie in the strong coupling limit. Our result is consistent with the conjectured S-matrix. The dyonic solutions play an essential role in revealing the polarization dependence of scattering phase.