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arxiv: hep-th/0405031 · v1 · submitted 2004-05-04 · ✦ hep-th

Super Chern-Simons Quantum Mechanics

classification ✦ hep-th
keywords mechanicschern-simonsquantumsuperarisebriefconsideredconvenient
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The Super Chern-Simons mechanics, and quantum mechanics of a particle, on the coset super-manifolds SU(2|1)/ U(2) and SU(2|1)/U(1)X U(1), is considered. Within a convenient quantization procedure the well known Chern-Simons mechanics on SU(2)/U(1) is reviewed, and then it is shown how the fuzzy supergeometries arise. A brief discussion of the super-sphere is also included.

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