Quantum Hall states on the cylinder as unitary matrix Chern-Simons theory

Details Quantum Hall states on the cylinder as unitary matrix Chern-Simons theory Quantum Hall states on the cylinder as unitary matrix Chern-Simons theory

2001-06-01

arxiv.org/abs/hep-th/0106011v2

JHEP 0106:070,2001

Physics

High Energy Physics

High Energy Physics - Theory

25 pages; final version to appear in JHEP

Scientific paper

10.1088/1126-6708/2001/06/070

We propose a unitary matrix Chern-Simons model representing fractional quantum Hall fluids of finite extent on the cylinder. A mapping between the states of the two systems is established. Standard properties of Laughlin theory, such as the quantization of the inverse filling fraction and of the quasiparticle number, are reproduced by the quantum mechanics of the matrix model. We also point out that this system is holographically described in terms of the one-dimensional Sutherland integrable particle system.

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