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Exact solutions for N-magnon scattering

High Energy Physics - Theory 2008-11-26 v1

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.

Keywords

Cite

@article{arxiv.0806.2466,
  title  = {Exact solutions for N-magnon scattering},
  author = {Chrysostomos Kalousios and Georgios Papathanasiou and Anastasia Volovich},
  journal= {arXiv preprint arXiv:0806.2466},
  year   = {2008}
}

Comments

19 pages, 1 figure

R2 v1 2026-06-21T10:50:46.415Z