Three-Spin Giant Magnons in AdS_5xS^5

TL;DR

This paper constructs a three-spin giant magnon solution in AdS_5 x S^5 using the Polyakov action, revealing a superposition of magnon bound states and a link to sinh-Gordon solitons.

Contribution

It introduces a new three-spin giant magnon solution in AdS_5 x S^5 and explores its dispersion relation and connection to sinh-Gordon solitons.

Findings

Derived the dispersion relation as a superposition of magnon bound states

Established a correspondence between a giant magnon in AdS_2 and sinh-Gordon soliton

Demonstrated the influence of S^5 configuration on AdS_5 string motion

Abstract

From the Polyakov string action using a conformal gauge we construct a three-spin giant magnon solution describing a long open string in AdS_5 \times S^5 which rotates both in two angular directions of S^5 and in one angular direction of AdS_5. Through the Virasoro constraints the string motion in AdS_5 takes an effect from the string configuration in S^5. The dispersion relation of the soliton solution is obtained as a superposition of two bound states of magnons. We show that there is a correspondence between a special giant magnon in AdS_2 and the sinh-Gordon soliton.