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In this article we carry out a detailed investigation of the geometric natureof the points at infinity of Minkowski superspace. It turns out that there areseveral sets of points forming the superconformal boundary of Minkowskisuperspace: on top of a well-behaved super $\mathscr{I}$, we find other setsthat we exhibit and study. We also study the intersection of these boundarieswith super null cones and explicitly construct the corresponding space of supercuts.

Conformal boundaries of Minkowski superspace and their super cuts