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On the Scattering of Magnon Boundstates

Heng-Yu Chen·Nick Dorey·Keisuke Okamura
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Abstract

We study the scattering of magnon boundstates in the spin-chain description of planar 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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Heng-Yu Chen, Nick Dorey, Keisuke Okamura. 2006-08-07. On the Scattering of Magnon Boundstates. https://doi.org/10.1088/1126-6708%2F2006%2F11%2F035

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