The supermoduli of SUSY curves with Ramond punctures
Algebraic Geometry
2021-07-27 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1910.12236,
title = {The supermoduli of SUSY curves with Ramond punctures},
author = {Ugo Bruzzo and Daniel Hernández Ruipérez},
journal= {arXiv preprint arXiv:1910.12236},
year = {2021}
}
Comments
34 pages. v2: corrected a minor inconsequential mistake in a proof. v3: 35 pages. Minor changes and additions after the referee's suggestions. To appear in Rev. Real Acad. Ciencias Exactas Fis. Nat. Ser. A. Mat