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arXiv · 0806.2466

Exact solutions for N-magnon scattering

Chrysostomos Kalousios·Georgios Papathanasiou·Anastasia Volovich
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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.

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Chrysostomos Kalousios, Georgios Papathanasiou, Anastasia Volovich. 2008-06-16. Exact solutions for N-magnon scattering. https://doi.org/10.1088/1126-6708%2F2008%2F08%2F095

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