nLab super-moduli of super Riemann surfaces -- references

Super-Moduli space of super Riemann surfaces

On the moduli space of super Riemann surfaces (the supergeometric analog of the moduli space of Riemann surfaces):

• 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 [doi:10.4310/PAMQ.2019.v15.n1.a2arXiv:1209.2459]

• Ron Donagi, Edward Witten: Supermoduli Space Is Not Projected, Proc. Symp. Pure Math. 90 (2015) 19-72 [spire:1231519, arXiv:1304.7798]

• Supermoduli Workshop: May 18 – 22, 2015, videos of lecture courses by Pierre Deligne, Eric D'Hoker, Ron Donagi and Edward Witten

• 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)

• Ugo Bruzzo, Daniel Hernández Ruipérez, The supermoduli of SUSY curves with Ramond punctures, RACSAM 115 144 (2021) [doi:10.1007/s13398-021-01078-4, arXiv:1910.12236]

• Nadia OttThe Supermoduli Space of Genus Zero Susy Curves with Ramond Punctures, PhD thesis, University of Minnesota (2020) [proquest:28094035]

• Nadia Ott, Alexander A. Voronov: The supermoduli space of genus zero SUSY curves with Ramond punctures, Journal of Geometry and Physics 185 (2023) 104726 [arXiv:1910.05655, doi:10.1016/j.geomphys.2022.104726]

• Dimitri Skliros: Moving NS Punctures on Super Spheres, SIGMA 20 (2024) 090 [doi:10.3842/SIGMA.2024.090, arXiv:2307.06355]

• Ron Donagi, Nadia Ott, Supermoduli Space with Ramond punctures is not projected [spire:2688635, arXiv:2308.07957]

• Dimitry Leites, Alexander S. Tikhomirov: Non-split superstrings of dimension $(1|2)$ [arXiv:2503.02416]

Further discussion of supergeometric Teichmüller space:

• Robert Penner, Anton Zeitlin, Decorated Super-Teichmüller Space (arXiv:1509.06302)

• Ivan C.H. Ip, Robert Penner, Anton Zeitlin, $\mathcal{N}=2$ Super-Teichmüller Theory, Advances in Mathematics 336 (2018) 409-454 (arXiv:1605.08094)

• Anton Zeitlin, Super-Teichmüller spaces and related structures (arXiv:1811.09939)

In relation to fat graphs:

• Albert S. Schwarz, Anton M. Zeitlin, Super Riemann surfaces and fatgraphs, Universe 9 9 (2023) 384 [doi:10.3390/universe9090384, arXiv:2307.02706]