  We describe the low energy excitations of the diquark condensates in the
color-flavor locked phase of QCD with three massless flavors, at high baryon
densities, in terms of a non-linear effective lagrangian. Such a lagrangian is
formally seen to correspond to the lagrangian for the hidden gauge symmetry
description of the effective low energy chiral lagrangian, the role of the
hidden symmetry being played by color. In particular, this agrees with the
conjecture that the light degrees of freedom of the two phases are in
correspondence to each other (complementarity). The discussion includes
consideration of the breaking of Lorentz invariance in presence of matter
density.
