  A detailed analysis of collective modes that couple to either vector or axial
color currents in color-flavor locked phase of color superconducting dense
quark matter at finite temperature is presented. Among the realm of collective
modes, including the plasmons and the Nambu-Goldstone bosons, we also reveal
the gapless Carlson-Goldman modes, resembling the scalar Nambu-Golstone bosons.
These latter exist only in a close vicinity of the critical line. Their
presence does not eliminate the Meissner effect, proving that the system
remains in the color broken phase. The finite temperature properties of the
plasmons and the Nambu-Goldstone bosons are also studied. In addition to the
ordinary plasmon, we also reveal a "light" plasmon which has a narrow width and
whose mass is of the order of the superconducting gap.
