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On the Nonprojectedness of Supermoduli with Neveu-Schwarz and Ramond Punctures

Published 5 Dec 2025 in math.AG, hep-th, and math-ph | (2512.15727v1)

Abstract: We study the supermoduli space $\mathfrak {M}{g,n,2r}$ of Super Riemann Surfaces (SRS) of genus $g$, with $n$ Neveu-Schwarz punctures and $2r$ Ramond punctures. We improve the result of Donagi, Witten, and Ott by showing that the supermoduli space $\mathfrak M{g,n,2r}$ is not projected if $g\geq n+5r+3$.

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