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arxiv: hep-th/0311159 · v3 · submitted 2003-11-18 · ✦ hep-th

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Fuzzy CP(n|m) as a quantum superspace

Evgeny Ivanov , Luca Mezincescu , Paul K. Townsend
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classification ✦ hep-th
keywords particlefuzzyquantumantichern-simonscommutingconstructdegenerate
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The `Chern-Simons Quantum Mechanics' of a particle on CP(n|m) is shown to yield the fuzzy descriptions of these superspaces, for which we construct the non-(anti)commuting position operators. For a particle on the supersphere CP(1|1) = SU(2|1)/U(1|1), the particle's wave-function at fuzziness level 2s is shown to be a degenerate irrep of SU(2|1) describing a supermultiplet of SU(2) spins (s-1\2, s).

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Super Landau Model and Howe Duality: From Supermonopole Harmonics to Quantum Matrix Geometry

    hep-th 2026-04 unverdicted novelty 6.0

    Howe duality underlies the super Landau model, relating Landau levels via supermonopole harmonics and yielding matrix coordinates for fuzzy superspheres at arbitrary levels with a determined non-commutative scale.