  We analyze the spectrum of the massive states for the color flavor locked
phase (CFL) of QCD. We show that the vector mesons have a mass of the order of
the color superconductive gap $\Delta$. We also see that the excitations
associated with the solitonic sector of the CFL low energy theory have a mass
proportional to $F^2_{\pi}/\Delta$ and hence are expected to play no role for
the physics of the CFL phase for large chemical potential. Another interesting
point is that the product of the soliton mass and the vector meson mass is
independent of the gap. We interpret this behavior as a form of electromagnetic
duality in the sense of Montonen and Olive. Our approach for determining the
properties of the massive states is non-perturbative in nature and can be
applied to any theory with multiple scales.
