  In this note, we summarize recent progress in constructing and then
semi-classically quantizing solitons, or non-abelian Q-balls, in the symmetric
space sine-Gordon theories. We then consider the images of these solitons in
the related constrained sigma model, which are the dyonic giant magnons on the
string theory world-sheet. Focussing on the case of the symmetric space S^5, we
perform a semi-classical quantization of the solitons and magnons and show that
both lead to Chern-Simons quantum mechanics on the internal moduli space which
is a real Grassmannian SO(4)/SO(2)xSO(2) but---importantly---with a different
coupling constant. Quantizing this system shows that both the Q-balls and
magnons come in a tower of states transforming in symmetric representations of
the SO(4) symmetry group; however, the former come in a finite tower whereas
the latter come in the well-known infinite tower of dyonic giant magnons.
