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Quantum Hall states as matrix Chern-Simons theory

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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.

fields

hep-th 1

years

2025 1

verdicts

UNVERDICTED 1

representative citing papers

Medicine show: A Calogero model with principal series states

hep-th · 2025-07-23 · unverdicted · novelty 7.0

A deformed Calogero model accommodates unitary principal series states of sl(2,R) via operator domain changes, preserving unitarity and invariance while altering integrability, with solutions for N=2 and 3.

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  • Medicine show: A Calogero model with principal series states hep-th · 2025-07-23 · unverdicted · none · ref 36 · internal anchor

    A deformed Calogero model accommodates unitary principal series states of sl(2,R) via operator domain changes, preserving unitarity and invariance while altering integrability, with solutions for N=2 and 3.