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Supersymmetric Quantum Mechanics in d-Dimensional Space

Two different forms of d-dimensional supersymmetric quantum mechanics are constructed from 1-dimensional one by means of two complex Clifford algebras C(d,0) and C(0,d) respectively. The two new d-dimensional realizations are based upon the more general supercharges, which include not only a vector superpotential but also a complex scalar superpotential, and bring out the richer structures.