A Matrix Model for Non-Abelian Quantum Hall States

@article{Dorey2016AMM,
title={A Matrix Model for Non-Abelian Quantum Hall States},
author={Nick Dorey and David Tong and Carl Turner},
journal={Physical Review B},
year={2016}
}
• Published 31 March 2016
• Physics
• Physical Review B
We propose a matrix quantum mechanics for a class of non-Abelian quantum Hall states. The model describes electrons which carry an internal SU(p) spin. The ground states of the matrix model include spin-singlet generalisations of the Moore-Read and Read-Rezayi states and, in general, lie in a class previously introduced by Blok and Wen. The effective action for these states is a U(p) Chern-Simons theory. We show how the matrix model can be derived from quantisation of the vortices in this Chern…
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