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

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Cited by in corpus (8)

• S-matrix for magnons in the D1-D5 system
• HHL correlators, orbit averaging and form factors
• Moduli Dynamics of AdS_3 Strings
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• Dressed Giant Magnons on CP^3
• Dressed Wilson Loops on S^2
• Giant Magnons in Symmetric Spaces: Explicit N-soliton solutions for CP^n, SU(n) and S^n
• Giant magnons and non-maximal giant gravitons