Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-05-04
Physics
High Energy Physics
High Energy Physics - Theory
To appear in Proceedings of the International Workshop "Supersymmetries and Quantum Symmetries" (SQS'03, 24-29 July, 2003), Du
Scientific paper
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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