The supermoduli space of genus zero SUSY curves with Ramond punctures

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.

References in corpus (1)

• On volumes of classical supermanifolds

Cited by in corpus (2)

• On Chiral Splitting and the Ambitwistor String
• Super quantum cohomology I: Super stable maps of genus zero with Neveu-Schwarz punctures