Constructs Laughlin bundles over the m-quasihole symmetric power of a curve, derives their Chern characters via GRR, establishes projective flatness in the filled case, and verifies the classes reproduce the Aharonov-Bohm plus fractional-statistics decomposition of the Berry phase in genus 0 and 1.
Quasiparticle spin from adiabatic transport in quantum Hall trial wavefunctions
1 Pith paper cite this work. Polarity classification is still indexing.
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abstract
Quasiparticle spin (in the spacetime sense) couples to curvature of space. Here this fact is used to calculate the spin of quasiholes in trial quantum Hall states by adiabatically dragging them around on a sphere, for trial states given by conformal blocks in some conformal field theory. The spin is found to agree with the conformal weight of the corresponding field. The result completes a recent argument that constructions using blocks from non-unitary theories that contain negative quantum dimensions produce contradictions that prevent them from describing topological (gapped) phases of matter.
fields
math.AG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
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Chern classes of Laughlin bundles on the quasihole moduli space
Constructs Laughlin bundles over the m-quasihole symmetric power of a curve, derives their Chern characters via GRR, establishes projective flatness in the filled case, and verifies the classes reproduce the Aharonov-Bohm plus fractional-statistics decomposition of the Berry phase in genus 0 and 1.