Abstract
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-½ 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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