Exact solutions for N-magnon scattering

Abstract

Giant magnon solutions play an important role in various aspects of the AdS/CFT correspondence. We apply the dressing method to construct an explicit formula for scattering states of an arbitrary number N of magnons on R x S^3. The solution can be written in Hirota form and in terms of determinants of N x N matrices. Such a representation may prove useful for the construction of an effective particle Hamiltonian describing magnon dynamics.

19 pages, 1 figure

References in corpus (4)

• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Generating AdS String Solutions
• Semiclassical strings and AdS/CFT
• Baecklund transformations, energy shift and the plane wave limit