# The supermoduli space of genus zero SUSY curves with Ramond punctures

@inproceedings{Ott2019TheSS, title={The supermoduli space of genus zero SUSY curves with Ramond punctures}, author={Nadia Ott and Alexander A Voronov}, year={2019} }

We give an explicit construction of the supermoduli space $\mathfrak{M}_{0, n_R}$ of super Riemann surfaces (SUSY curves) of genus zero with $n_R \ge 4$ Ramond punctures as a quotient Deligne-Mumford superstack of dimension $(n_R-3\, | \,
n_R/2-2)$.

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#### References

SHOWING 1-10 OF 49 REFERENCES

The super period matrix with Ramond punctures

- Mathematics, Physics
- 2015

Abstract We generalize the super period matrix of a super Riemann surface to the case that Ramond punctures are present. For a super Riemann surface of genus g with 2 r Ramond punctures, we define,… Expand

On SUSY curves

- Mathematics, Physics
- 2014

We give a summary of some elementary results in the theory of super Rie-mann surfaces (SUSY curves), which are mostly known, but are not readily available in the literature. In particular, we give… Expand

The projective linear supergroup and the SUSY-preserving automorphisms of ℙ1|1

- Mathematics, Physics
- 2018

The purpose of this paper is to describe the projective linear supergroup, its relation with the automorphisms of the projective superspace and to determine the supergroup of SUSY preserving… Expand

Fundamental Algebraic Geometry

- Mathematics
- 2005

Grothendieck topologies, fibered categories and descent theory: Introduction Preliminary notions Contravariant functors Fibered categories Stacks Construction of Hilbert and Quot schemes:… Expand

Projective superspaces in practice

- Mathematics, Physics
- Journal of Geometry and Physics
- 2018

Abstract This paper is devoted to the study of supergeometry of complex projective superspaces P n | m . First, we provide formulas for the cohomology of invertible sheaves of the form O P n | m ( l… Expand

Geometric Invariant Theory

- Mathematics
- 1965

“Geometric Invariant Theory” by Mumford/Fogarty (the first edition was published in 1965, a second, enlarged edition appeared in 1982) is the standard reference on applications of invariant theory to… Expand

Notes on super Riemann surfaces and their moduli

- Physics, Mathematics
- Pure and Applied Mathematics Quarterly
- 2019

These are notes on the theory of super Riemann surfaces and their moduli spaces, aiming to collect results that are useful for a better understanding of superstring perturbation theory in the RNS… Expand

Notes on supermanifolds and integration

- Physics, Mathematics
- Pure and Applied Mathematics Quarterly
- 2019

These are notes on the theory of supermanifolds and integration on them, aiming to collect results that are useful for a better understanding of superstring perturbation theory in the RNS formalism.

Deformations of algebraic schemes

- Mathematics
- 2006

Infinitesimal deformations.- Formal deformation theory.- Examples of deformation functors.- Hilbert and Quot schemes.