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A Matrix Model for Non-Abelian Quantum Hall States

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arxiv 1603.09688 v3 pith:CSM4KGVU submitted 2016-03-31 cond-mat.str-el hep-th

classification cond-mat.str-elhep-th
keywords modelstatesmatrixquantumchern-simonsclassgroundhall
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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.

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Cited by 2 Pith papers

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    hep-th 2025-08 unverdicted novelty 5.0 of 10

    Constructs Z_N extended fusion rings and modular partition functions for nonanomalous subgroups, extending to multicomponent systems and orbifoldings in CFTs.

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