Matrix models of 4-dimensional quantum Hall fluids
High Energy Physics - Theory
2007-05-23 v2 Mesoscale and Nanoscale Physics
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 . 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.
Cite
@article{arxiv.hep-th/0209182,
title = {Matrix models of 4-dimensional quantum Hall fluids},
author = {Yi-Xin Chen},
journal= {arXiv preprint arXiv:hep-th/0209182},
year = {2007}
}
Comments
4 pages, no figures, revtex, replaced by new version