Matrix models of 4-dimensional quantum Hall fluids

Details Matrix models of 4-dimensional quantum Hall fluids Matrix models of 4-dimensional quantum Hall fluids

2002-09-23

arxiv.org/abs/hep-th/0209182v2

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, no figures, revtex, replaced by new version

Scientific paper

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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