A Matrix Model for Non-Abelian Quantum Hall States
arXiv:1603.09688 · doi:10.1103/PhysRevB.94.085114
Abstract
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-Simons theory and how the matrix model ground states can be reconstructed as correlation functions in the boundary WZW model.
35 pages, 2 figures. v2: references added. v3: minor changes, version to be published in Phys. Rev. B
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