English

The supermoduli space of genus zero SUSY curves with Ramond punctures

Algebraic Geometry 2024-03-13 v4 High Energy Physics - Theory Quantum Algebra

Abstract

We give an explicit quotient construction of the supermoduli space M0,nR\mathfrak{M}_{0, n_R} of genus zero super Riemann surfaces with nR4n_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.

Keywords

Cite

@article{arxiv.1910.05655,
  title  = {The supermoduli space of genus zero SUSY curves with Ramond punctures},
  author = {Nadia Ott and Alexander A. Voronov},
  journal= {arXiv preprint arXiv:1910.05655},
  year   = {2024}
}