U(2) CSGL theories are built for FQHE hierarchies, reproducing all known filling fractions and uniquely fixing topological orders while revealing a particle-hole symmetry between sequences.
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The effective Maxwell-Chern-Simons theory for FQH excitations admits a non-perturbative unitary SDiff-equivariant construction that is nevertheless non-differentiable.
Lattice model states for Laughlin, Moore-Read, and Z_k Read-Rezayi fractional quantum Hall series are constructed with idealized energy, entanglement, and modified clustering properties distinct from continuum versions.
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$\mathrm{U}(2)$ Chern-Simons-Ginzburg-Landau Theory of Fractional Quantum Hall Hierarchies
U(2) CSGL theories are built for FQHE hierarchies, reproducing all known filling fractions and uniquely fixing topological orders while revealing a particle-hole symmetry between sequences.
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Non-Perturbative SDiff Covariance of Fractional Quantum Hall Excitations
The effective Maxwell-Chern-Simons theory for FQH excitations admits a non-perturbative unitary SDiff-equivariant construction that is nevertheless non-differentiable.
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Generalized Model Fractional Quantum Hall States on Lattices
Lattice model states for Laughlin, Moore-Read, and Z_k Read-Rezayi fractional quantum Hall series are constructed with idealized energy, entanglement, and modified clustering properties distinct from continuum versions.