Matrix models of 4-dimensional quantum Hall fluids

Yi-Xin Chen

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arXiv · hep-th/0209182

Matrix models of 4-dimensional quantum Hall fluids

Yi-Xin Chen

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Abstract

We propose two non-abelian Chern-Simons matrix models as the effective descriptions of 4-dimensional quantum Hall fluids. One of them describes a new type of 4-dimensional quantum Hall fluid on the space of quaternions, the other provides the description of non-commutative field theory for Zhang and Hu's 4-dimensional quantum Hall fluid of $S^4$. The complete sets of physical quantum states of these matrix models are determined, and the properties of quantum Hall fluids related with them are discussed.

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Yi-Xin Chen. 2002-12-17. Matrix models of 4-dimensional quantum Hall fluids. https://arxiv.org/abs/hep-th/0209182

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