Boundary Giant Magnons and Giant Gravitons

TL;DR

This paper constructs boundary giant magnons attached to a maximal Z=0 giant graviton, analyzing their properties via sine-Gordon theory and Born-Infeld theory, including finite J corrections and BIon spike solutions.

Contribution

It provides a complete set of boundary giant magnons on 2, mapping solutions from sine-Gordon theory and constructing BIon spikes for finite J.

Findings

Derived 2 boundary giant magnons from sine-Gordon solutions.

Computed 2 -J values at finite J with leading order corrections.

Constructed BIon spike solutions representing boundary magnons.

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 $\Delta-J$ 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 $J$.