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arXiv · 1910.05655

The supermoduli space of genus zero SUSY curves with Ramond punctures

Nadia Ott·Alexander A. Voronov
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Abstract

We give an explicit quotient construction of the supermoduli space $\mathfrak{M}_{0, n_R}$ of genus zero super Riemann surfaces with $n_R \ge 4$ Ramond punctures and prove it is a Deligne-Mumford superstack. We also make an explicit quotient construction of the moduli space of genus zero supercurves without a SUSY structure and thereby prove it is an algebraic superstack.

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Nadia Ott, Alexander A. Voronov. 2019-10-12. The supermoduli space of genus zero SUSY curves with Ramond punctures. https://arxiv.org/abs/1910.05655

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