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One-dimensional super Calabi-Yau manifolds and their mirrors

We apply a definition of generalised super Calabi-Yau variety (SCY) to supermanifolds of complex dimension one. One of our results is that there are two SCY’s having reduced manifold equal to \( {\mathrm{\mathbb{P}}}^1 \), namely the projective super space \( {\mathrm{\mathbb{P}}}^{\left.1\right|2} \) and the weighted projective super space \( ...