We produce the open strings on $\mathbb{R}\times S^{2}$ that correspond to
the solutions of integrable boundary sine-Gordon theory by making use of the
$N$-magnon solutions provided in \cite{KPV} together with explicit moduli.
Relating the two boundary parameters in a special way we describe the
scattering of giant magnons with non-maximal $Y=0$ giant gravitons and
calculate the leading contribution to the associated magnon scattering phase.Comment: 34 pages, 8 figure
We construct the full set of boundary giant magnons on R × S 2 attached to the maximal Z = 0 giant graviton by mapping from the general solution to static sine-Gordon theory on the interval and compute the values of ∆ − J at finite J, including the leading order corrections when J is large. We then consider the Born-Infeld theory of the giant graviton itself to construct BIon spike solutions that correspond to the world volume description of the boundary giant magnons at finite J. * a.m.ciavarella@durham.ac.uk
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