As is known, any realization of SU(2) in the phase space of a dynamical sys-
tem can be generalized to accommodate the exceptional supergroup
D
(2
;
1;α
), which is
the most general
N
= 4 supersymmetric extension of the conformal group in one spatial
dimension. We construct novel spinning extensions of
D
(2
;
1;α
) superconformal mechanics
by adjusting the SU(2) generators associated with the relativistic spinning particle coupled
to a spherically symmetric Einstein-Maxwell background. The angular sector of the full
superconformal system corresponds to the orbital motion of a particle coupled to a sym-
metric Euler top, which represents the spin degrees of freedom. This particle moves either
on the two-sphere, optionally in the external eld of a Dirac monopole, or in the SU(2)
group manifold. Each case is proven to be superintegrable, and explicit solutions are given.
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