Collective dynamics of solitons and inequivalent quantizations

The collective dynamics of solitons with a coset space G/H as moduli space is studied. It is shown that the collective band for a vibrational state is given by the inequivalent coset space quantization corresponding to the representation of H carried by the vibration. To leading order the collective dynamics is free motion in G/H coupled to background gauge fields determined by the vibrational state.