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Matrix models of 4-dimensional quantum Hall fluids | Yi-Xin Chen
; | Date: |
23 Sep 2002 | Subject: | High Energy Physics - Theory; Mesoscopic Systems and Quantum Hall Effect | hep-th cond-mat.mes-hall | 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. | Source: | arXiv, hep-th/0209182 | Services: | Forum | Review | PDF | Favorites |
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