Partition Functions of Non-Abelian Quantum Hall States

Abstract

Partition functions of edge excitations are obtained for non-Abelian Hall states in the second Landau level, such as the anti-Read-Rezayi state, the Bonderson-Slingerland hierarchy and the Wen non-Abelian fluid, as well as for the non-Abelian spin-singlet state. The derivation is straightforward and unique starting from the non-Abelian conformal field theory data and solving the modular invariance conditions. The partition functions provide a complete account of the excitation spectrum and are used to describe experiments of Coulomb blockade and thermopower.

42 pages, 3 figures; published version; minor corrections to sect. 4.2

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• Interacting topological phases and modular invariance
• Bulk-boundary correspondence in (3+1)-dimensional topological phases
• Symmetry-protected topological phases and orbifolds: Generalized Laughlin's argument
• Bosonic topological phases of matter: bulk-boundary correspondence, SPT invariants and gauging
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• Boundary theory of the X-cube model in the continuum
• W-infinity Symmetry in the Quantum Hall Effect Beyond the Edge
• Three-dimensional Topological Insulators and Bosonization
• Thermoelectric properties of Coulomb-blockaded fractional quantum Hall islands
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• Quasiparticle agglomerates in Read-Rezayi and anti Read-Rezayi state
• Ordering the topological order in the fractional quantum Hall effect