Matrix models of 4-dimensional quantum Hall fluids

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.

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

Cited by in corpus (7)

• Chiral actions from phase space (quantum Hall) droplets
• Fuzzy spaces, the M(atrix) model and the quantum Hall effect
• Quantum Hall Liquid on a Noncommutative Superplane
• Spin-Hall effect with quantum group symmetry
• A primordial theory
• Non-Commutative Time, the Quantum Hall Effect and Twistor Theory
• Rigid open membrane and non-abelian non-commutative Chern-Simons theory