Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-05-12
Phys.Lett. B485 (2000) 187-192
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, minor extension of concluding comments
Scientific paper
10.1016/S0370-2693(00)00671-7
It is shown that the generator of the nonstandard fermion-monopole supersymmetry uncovered by De Jonghe, Macfarlane, Peeters and van Holten, and the generator of its standard N=1/2 supersymmetry have to be supplemented by their product operator to be treated as independent supercharge. As a result, the fermion-monopole system possesses the nonlinear N=3/2 supersymmetry having the nature of the 3D spin-1/2 free particle's supersymmetry generated by the supercharges represented in a scalar form. Analyzing the supercharges' structure, we trace how under reduction of the fermion-monopole system to the spherical geometry the nonlinear N=3/2 superalgebra comprising the Hamiltonian and the total angular momentum as even generators is transformed into the standard linear N=1 superalgebra with the Hamiltonian to be the unique even generator.
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