Boundary giant magnons and giant gravitons

Abstract

We construct the full set of boundary giant magnons on $ \mathbb{R} \times {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 Δ − 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.