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The reflection matrices of multi magnon bound states are obtained explicitely by exploiting the Yangian symmetry of boundary scattering on the Y=0 maximal giant graviton brane.
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A. Agarwal and S. G. Rajeev, “Yangian symmetries of matrix models and spin chains: The dilatation operator of 𝒩 = 4 {\cal N}=4 SYM,” Int. J. Mod. Phys. A
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N.J. MacKay, “Introduction to Yangian symmetry in integrable field theory” Int. J. Mod. Phys
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H.Y. Chen, N. Dorey and K. Okamura, “The asymptotic spectrum of the 𝒩 = 4 {\cal N}=4 super Yang Mills spin chain” , JHEP
2006
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G. Arutyunov, S. Frolov and M. Zamaklar, “The Zamolodchikov-Faddeev algebra for A d S 5 × S 5 AdS_{5}\times S^{5} superstring,” JHEP
2007
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B. I. Zwiebel, “Yangian symmetry at two-loops for the s u ( 2 | 1 ) su(2|1) sector of 𝒩 = 4 {\cal N}=4 SYM,” J. Phys. A
2007
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G. Arutyunov, S. Frolov, “On string S-matrix, bound states and TBA” JHEP
2007
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D.M. Hofman and J.M. Maldacena, “Reflecting magnons,” JHEP
2007
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H.Y. Chen and D.H. Correa, “Comments on the boundary scattering phase” JHEP
2008
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C. Ahn. D. Bak, S.J. Rey, “Reflecting magnon bound states” JHEP
2008
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2009
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2009
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Ch. Ahn and R.I. Nepomechie, “Yangian symmetry and bound states in AdS/CFT boundary scattering” JHEP
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N. Beisert, “The s u ( 2 | 2 ) su(2|2) dynamic S S -matrix,” Adv. Theor. Math. Phys
2008
Cited alongside, same era.
G. Arutyunov and S. Frolov, “The S S -matrix of String Bound States,” Nucl. Phys. B
2008
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2010
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N. MacKay and V. Regelskis, “Yangian symmetry of the Y = 0 Y=0 maximal giant graviton” JHEP
2010
Later among the works it cites.