Dressed giant magnons on ℂℙ3

Abstract

A new example of AdS/CFT duality relating IIA string theory on AdS4 × 3 to = 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 3 background, corresponding to excitations in the spin chain picture of the dual field theory. In this paper we apply the 3 = SU(4)/S(U(3) × 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 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.