The supermoduli of SUSY curves with Ramond punctures

TL;DR

This paper constructs moduli spaces of supersymmetric curves with Ramond punctures, advancing the understanding of supergeometry in string theory contexts.

Contribution

It introduces a method to build supermoduli spaces as algebraic superspaces with level n structures, using étale equivalence relations.

Findings

Construction of local and global supermoduli spaces

Representation of supermoduli as quotients of superschemes

Framework applicable to algebraic supergeometry with Ramond punctures

Abstract

We construct local and global moduli spaces of supersymmetric curves with Ramond-Ramond punctures. We assume that the underlying ordinary algebraic curves have a level n structure and build these supermoduli spaces as algebraic superspaces, i.e., quotients of \'etale equivalence relations between superschemes.