期刊
PHYSICAL REVIEW B
卷 94, 期 8, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.94.085114
关键词
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资金
- Science and Techonology Facilities Council
- European Research Council under the European Union's Seventh Framework Programme, ERC, Strongly Coupled Systems [STG 279943]
- STFC [ST/L000385/1] Funding Source: UKRI
- Science and Technology Facilities Council [1344623, ST/L000385/1] Funding Source: researchfish
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 generalizations 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 quantization 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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