Dressed Giant Magnons on CP^3

TL;DR

This paper develops a dressing method to construct classical string solutions in CP^3, introducing a new giant magnon solution with unique charge properties, advancing the understanding of AdS/CFT duality in the ABJM model.

Contribution

It applies the CP^3 dressing method to generate general giant magnon solutions, including a novel single-charge magnon, expanding the solution space in AdS_4 x CP^3.

Findings

Introduced a new giant magnon solution with a single SO(6) charge.

Demonstrated the effectiveness of the dressing method in CP^3.

Provided insights into charge configurations of classical string solutions.

Abstract

A new example of AdS/CFT duality relating IIA string theory on AdS_4 x CP^3 to N=6 superconformal Chern-Simons theory has recently been provided by ABJM. By now a number of papers have considered particular giant magnon classical string solutions in the CP^3 background, corresponding to excitations in the spin chain picture of the dual field theory. In this paper we apply the CP^3 = SU(4)/S(U(3) x U(1)) dressing method to the problem of constructing general classical string solutions describing various configurations of giant magnons. As a particular application we present a new giant magnon solution on CP^3. Interestingly the dressed solution carries only a single SO(6) charge, in contrast with the dyonic magnons found in previous applications of the dressing method.