W-infinity Symmetry in the Quantum Hall Effect Beyond the Edge

TL;DR

This paper extends the W-infinity symmetry framework from the edge to the bulk of quantum Hall fluids, providing analytic insights into excitations, edge reconstruction, and density fluctuations in Laughlin states.

Contribution

It introduces a novel extension of W-infinity symmetry to the bulk, offering analytic results for excitation shapes and spectra beyond the edge in quantum Hall systems.

Findings

Analytic expressions for the radial shape of excitations

Characterization of edge reconstruction phenomena

Energy spectrum of density fluctuations in Laughlin states

Abstract

The description of chiral quantum incompressible fluids by the W-infinity symmetry can be extended from the edge, where it encompasses the conformal field theory approach, to the non-conformal bulk. The two regimes are characterized by excitations with different sizes, energies and momenta within the disk geometry. In particular, the bulk quantities have a finite limit for large droplets. We obtain analytic results for the radial shape of excitations, the edge reconstruction phenomenon and the energy spectrum of density fluctuations in Laughlin states.