The supermoduli space of genus zero SUSY curves with Ramond punctures
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arXiv
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866909134149910528 |
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| author | Ott, Nadia Voronov, Alexander A. |
| author_facet | Ott, Nadia Voronov, Alexander A. |
| contents | We give an explicit quotient construction of the supermoduli space $\mathfrak{M}_{0, n_R}$ of genus zero super Riemann surfaces with $n_R \ge 4$ Ramond punctures and prove it is a Deligne-Mumford superstack. We also make an explicit quotient construction of the moduli space of genus zero supercurves without a SUSY structure and thereby prove it is an algebraic superstack. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1910_05655 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | The supermoduli space of genus zero SUSY curves with Ramond punctures Ott, Nadia Voronov, Alexander A. Algebraic Geometry High Energy Physics - Theory Quantum Algebra 14M30 (Primary) 14D23, 14H10 (Secondary) We give an explicit quotient construction of the supermoduli space $\mathfrak{M}_{0, n_R}$ of genus zero super Riemann surfaces with $n_R \ge 4$ Ramond punctures and prove it is a Deligne-Mumford superstack. We also make an explicit quotient construction of the moduli space of genus zero supercurves without a SUSY structure and thereby prove it is an algebraic superstack. |
| title | The supermoduli space of genus zero SUSY curves with Ramond punctures |
| topic | Algebraic Geometry High Energy Physics - Theory Quantum Algebra 14M30 (Primary) 14D23, 14H10 (Secondary) |
| url | https://arxiv.org/abs/1910.05655 |