W-infinity Symmetry in the Quantum Hall Effect Beyond the Edge
High Energy Physics - Theory
2021-06-02 v1 Strongly Correlated Electrons
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.
Cite
@article{arxiv.2103.04163,
title = {W-infinity Symmetry in the Quantum Hall Effect Beyond the Edge},
author = {Andrea Cappelli and Lorenzo Maffi},
journal= {arXiv preprint arXiv:2103.04163},
year = {2021}
}
Comments
45 pages, 11 figures