Quantum Hall states as matrix Chern-Simons theory
High Energy Physics - Theory
2010-02-03 v3 Condensed Matter
Exactly Solvable and Integrable Systems
Quantum Physics
Abstract
We propose a finite Chern-Simons matrix model on the plane as an effective description of fractional quantum Hall fluids of finite extent. The quantization of the inverse filling fraction and of the quasiparticle number is shown to arise quantum mechanically and to agree with Laughlin theory. We also point out the effective equivalence of this model, and therefore of the quantum Hall system, with the Calogero model.
Cite
@article{arxiv.hep-th/0103013,
title = {Quantum Hall states as matrix Chern-Simons theory},
author = {Alexios P. Polychronakos},
journal= {arXiv preprint arXiv:hep-th/0103013},
year = {2010}
}
Comments
18 pages; final version to appear in JHEP