“School of Physic”
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| Paper IPM / Physic / 6786 |
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| Abstract: | |
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Equations of shape invariance have been derived on the homogeneous
manifold SL(2,c)/GL(1,c), by means of which the Dirac equation
is solved for a charged spin−[1/2] particle in the
presence of a magnetic monopole. The Dirac spinors on this
manifold are written in terms of the master function. It is shown
that these spinors represent an N=1 chiral supersymmetry algebra
and a unitary parasuperalgebra of arbitrary order p.
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