nLab moduli space of super Riemann surfaces

Idea

The moduli space of super Riemann surfaces.

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

References

• Jeffrey Rabin, Supermanifolds and Super Riemann Surfaces, In: H.C. Lee et. al (eds.) Super Field Theories, NATO Science Series (Series B: Physics), vol 160. Springer (1987) (doi:10.1007/978-1-4613-0913-0_34, pdf)

• Claude LeBrun, Mitchell Rothstein, Moduli of super Riemann surfaces, Comm. Math. Phys. Volume 117, Number 1 (1988), 159-176 (euclid:cmp/1104161598)

• Edward Witten, Notes On Super Riemann Surfaces And Their Moduli, Pure and Applied Mathematics Quarterly Volume 15 (2019) Number 1

  Special Issue on Super Riemann Surfaces and String Theory (arXiv:1209.2459, doi:10.4310/PAMQ.2019.v15.n1.a2)

• Giulio Codogni, Filippo Viviani, Moduli and Periods of Supersymmetric Curves, Adv. Theor. Math. Phys. 23 (2019) 2, 345-402 (arXiv:1706.04910, doi:10.4310/ATMP.2019.v23.n2.a2)