On the stability of the Quantum Hall soliton

TL;DR

This paper examines the classical stability of the Quantum Hall Soliton, finding potential decay modes under certain perturbations, but suggesting possible stabilization in a quantum framework with specific assumptions.

Contribution

It investigates the classical stability of the Quantum Hall Soliton and proposes conditions under which a static equilibrium can exist in a quantum setting.

Findings

Potential energy decreases under non-spherical perturbations

System may decay or be stabilized by magnetic fields

Quantum assumptions allow for static equilibrium

Abstract

In this note we investigate the stability of the classical ground state of the Quantum Hall Soliton proposed recently in hep-th/0010105 . We explore two possible perturbations which are not spherically symmetric and we find that the potential energy decreases in both case. This implies that the system either decays or is dynamically stabilized (because of the presence of magnetic fields). If one makes an extra assumption that in the real quantum treatment of the problem string ends and D0 branes move together (as electrons and vortices in the Quantum Hall effect), a static equilibrium configuration is possible.