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

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arxiv 2103.04163 v1 pith:5AK6WJ5H submitted 2021-03-06 hep-th cond-mat.str-el

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

classification hep-th cond-mat.str-el
keywords edgebulkexcitationsquantumsymmetryw-infinityanalyticapproach
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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