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

Abstract

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.

26 pages, LaTeX, no figures, references added

References in corpus (5)

• LLL vs. LLM: Half BPS Sector of N=4 SYM Equals to Quantum Hall System
• A matrix model for a quantum hall droplet with manifest particle-hole symmetry
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Cited by in corpus (12)

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• The Matrix Chern-Simons One-form as a Universal Chern-Simons Theory
• Noncommutative Fluids
• A note on the topological order of noncommutative Hall fluids
• Non-constant Non-commutativity in 2d Field Theories and a New Look at Fuzzy Monopoles
• Twisted Conformal Field Theories and Morita equivalence
• Paired quantum Hall states on noncommutative two-tori