  Quark matter at high density may exhibit color superconductivity. As magnetic
flux tubes in metallic superconductors, color magnetic flux tubes as
non-Abelian vortices appear in the color-flavor locked phase of high density
QCD. ${\mathbb C}P^2$ Nambu-Goldstone bosons and Majorana fermions belonging to
the triplet representation are known to be localized around a non-Abelian
vortex. In this paper, we determine the coupling of these bosonic and fermionic
modes by using the nonlinear realization method.
