Fractional quantum Hall effect on the two-sphere: a matrix model proposal

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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26 pages, LaTeX, no figures, references added

Scientific paper

10.1103/PhysRevD.72.125002

We present a Chern-Simons matrix model describing the fractional quantum Hall
effect on the two-sphere. We demonstrate the equivalence of our proposal to
particular restrictions of the Calogero-Sutherland model, reproduce the quantum
states and filling fraction and show the compatibility of our result with the
Haldane spherical wavefunctions.

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