Super Chern-Simons Quantum Mechanics
Abstract
Description
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.
To appear in Proceedings of the International Workshop "Supersymmetries and Quantum Symmetries" (SQS'03, 24-29 July, 2003), Dubna, Russian Federation
To appear in Proceedings of the International Workshop "Supersymmetries and Quantum Symmetries" (SQS'03, 24-29 July, 2003), Dubna, Russian Federation