On the scattering of magnon boundstates

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Published 13 November 2006 • Published under licence by IOP Publishing Ltd
, , Citation Heng-Yu Chen et al JHEP11(2006)035 DOI 10.1088/1126-6708/2006/11/035

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Author affiliations

1 DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, U.K.

2 Department of Physics, Faculty of Science, University of Tokyo, Bunkyo-ku, Tokyo 113-0033, Japan

Dates

  1. Received 30 August 2006
  2. Accepted 18 October 2006
  3. Published

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1126-6708/2006/11/035

Abstract

We study the scattering of magnon boundstates in the spin-chain description of planar Script N = 4 SUSY Yang-Mills. Starting from the conjectured exact S-matrix for magnons in the SU(2) sector, we calculate the corresponding S-matrix for boundstates with an arbitrary number of constituent magnons. The resulting expression has an interesting analytic structure with both simple and double poles. We also calculate the semiclassical S-matrix for the scattering of the corresponding excitations on the string worldsheet known as Dyonic Giant Magnons. We find precise agreement with the magnon boundstate S-matrix in the limit of large 't Hooft coupling.

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10.1088/1126-6708/2006/11/035