Quantum Hall states as matrix Chern-Simons theory

Details Quantum Hall states as matrix Chern-Simons theory Quantum Hall states as matrix Chern-Simons theory

2001-03-02

arxiv.org/abs/hep-th/0103013v3

JHEP 0104:011,2001

Physics

High Energy Physics

High Energy Physics - Theory

18 pages; final version to appear in JHEP

Scientific paper

10.1088/1126-6708/2001/04/011

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.

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