Fuzzy CP(n|m) as a quantum superspace

Details Fuzzy CP(n|m) as a quantum superspace Fuzzy CP(n|m) as a quantum superspace

2003-11-18

arxiv.org/abs/hep-th/0311159v3

Physics

High Energy Physics

High Energy Physics - Theory

19 pp. Contribution to "Symmetries in Gravity and Field Theory", conference for Jose-Adolfo de Azcarraga's 60th birthday, June

Scientific paper

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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