Electron and Quasiparticle Exponents of Haldane-Rezayi state in Non-abelian Fractional Quantum Hall Theory

TL;DR

This paper calculates the quasiparticle propagator for the Haldane-Rezayi fractional quantum Hall state using a chiral fermion model, revealing its spectral properties and symmetry features.

Contribution

It introduces a chiral fermion model with hidden spin SU(2) symmetry to analyze the HR state, connecting it to the SU(2) c = -2 model for edge spectrum description.

Findings

Spectrum matches the SU(2) c = -2 model

Reveals hidden spin SU(2) symmetry in the HR state

Provides insights into quasiparticle exponents

Abstract

The quasiparticle propagator of Haldane-Rezayi(HR) fractional quantum Hall (FQH) state is calculated, based on a chiral fermion model (or a Weyl fermion model) equipped with a hidden spin SU(2) symmetry. The spectrum of the chiral fermion model for each total spin and total momentum is shown to be identical to that of the SU(2) c = -2 model introduced to describe the edge spectrum of the HR state.