nLab
super-orbifold

Contents

Context

Supergeometry

Higher geometry

Manifolds and cobordisms

Contents

Idea

A super-orbifold is an orbifold in supergeometry, hence like a supermanifold but possibly with singularities of the form of fixed points of local actions on the supermanifold by finite groups.

Examples

Moduli space of super-Riemann surfaces

Just like the moduli space of Riemann surfaces is an orbifold, so the moduli space of super-Riemann surfaces is a super-orbifold (e.g. Rabin 87, LeBrun-Rothstein 88, Witten 12, Codogni-Viviani 17).

References

Super-orbifolds as target spaces in superstring theory (orbi-superspace):

and in M-theory:

The moduli space of super Riemann surfaces as a super-orbifold:

Last revised on July 10, 2020 at 12:45:28. See the history of this page for a list of all contributions to it.