W-infinity symmetry in the quantum hall effect beyond the edge

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.

Automated summary

The W-infinity symmetry is used to describe the chiral quantum incompressible fluids in both conformal and non-conformal regimes, with different excitations characterized by sizes, energies, and momenta. Analytic results are obtained for the radial shape of excitations, edge reconstruction phenomenon, and energy spectrum of density fluctuations in Laughlin states.