Partition Functions of Non-Abelian Quantum Hall States

TL;DR

This paper derives the partition functions for edge excitations in various non-Abelian quantum Hall states, providing a comprehensive spectrum analysis relevant for experimental observations like Coulomb blockade and thermopower.

Contribution

It presents a straightforward, unique derivation of partition functions for non-Abelian quantum Hall states from conformal field theory data, enhancing understanding of their excitation spectra.

Findings

Partition functions explicitly derived for multiple non-Abelian states

Complete account of edge excitation spectra provided

Results applicable to experimental phenomena like Coulomb blockade

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.