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

2025/12/05 by Tianyi Wang, Wang, Tianyi
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.2512.15727

openalex publication_date 2025/12/05 · openalex created_date 2025/12/21 · openalex updated_date 2026/07/28

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≥ n+5r+3.

Citations

• Supermoduli Space with Ramond punctures is not projected
• More On Superstring Perturbation Theory: An Overview Of Superstring Perturbation Theory Via Super Riemann Surfaces
• Notes On Super Riemann Surfaces And Their Moduli
• Lectures on Two-Loop Superstrings

Related

• Supermoduli Space Is Not Projected
• Supermoduli Space with Ramond punctures is not projected
• The supermoduli space of genus zero SUSY curves with Ramond punctures
• Ramond from Random: Weil-Petersson Volumes for Super-Riemann surfaces with NS Boundaries and R Punctures
• A measure on the moduli space of super Riemann surfaces with Ramond punctures