Giant magnons and non-maximal giant gravitons

TL;DR

This paper constructs open string solutions on R×S² linked to boundary sine-Gordon theory, analyzing their scattering with non-maximal giant gravitons and computing the leading magnon scattering phase.

Contribution

It introduces explicit open string solutions corresponding to integrable boundary sine-Gordon theory and details the scattering with non-maximal giant gravitons.

Findings

Derived solutions for open strings on R×S²

Connected boundary parameters to describe scattering

Calculated the leading magnon scattering phase

Abstract

We produce the open strings on $\mathbb{R}\times S^{2}$ that correspond to the solutions of integrable boundary sine-Gordon theory by making use of the $N$-magnon solutions provided in \cite{KPV} together with explicit moduli. Relating the two boundary parameters in a special way we describe the scattering of giant magnons with non-maximal $Y=0$ giant gravitons and calculate the leading contribution to the associated magnon scattering phase.