Collective Dynamics of Solitons and Inequivalent Quantizations

TL;DR

This paper investigates the collective behavior of solitons with a coset space as their moduli space, revealing how vibrational states relate to inequivalent coset space quantizations based on H's representations.

Contribution

It demonstrates the connection between vibrational states of solitons and inequivalent quantizations of coset spaces, advancing understanding of soliton dynamics.

Findings

Vibrational states correspond to inequivalent coset space quantizations.

The collective band is determined by the representation of H.

The study links soliton vibrations to moduli space quantization.

Abstract

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.