Superconformal topological recursion
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911278810791936 |
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| author | Aghaei, Nezhla Kramer, Reinier Orantin, Nicolas Osuga, Kento |
| author_facet | Aghaei, Nezhla Kramer, Reinier Orantin, Nicolas Osuga, Kento |
| contents | We investigate a supersymmetric generalisation of topological recursion from two perspectives: algebraic and geometric. The algebraic side concerns a recursive structure encoded in modules of a super Virasoro algebra, and the geometric counterpart is what we call superconformal topological recursion defined on a super Riemann surface. Superconformal topological recursion indicates that odd holomorphic one-forms on a super Riemann surface are related to zero modes of copies of the Clifford algebras, and it also provides a tool to study deformation of non-split super Riemann surfaces, e.g. certain families of super Riemann surfaces carrying odd parameters. On a super Riemann surface over a non-reduced base, the formalism is recursive not only in terms of pants-decomposition but also in terms of odd parameters in a suitable sense. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_17320 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Superconformal topological recursion Aghaei, Nezhla Kramer, Reinier Orantin, Nicolas Osuga, Kento Mathematical Physics High Energy Physics - Theory Algebraic Geometry 14H81, 81R10, 14M30, 81T30 We investigate a supersymmetric generalisation of topological recursion from two perspectives: algebraic and geometric. The algebraic side concerns a recursive structure encoded in modules of a super Virasoro algebra, and the geometric counterpart is what we call superconformal topological recursion defined on a super Riemann surface. Superconformal topological recursion indicates that odd holomorphic one-forms on a super Riemann surface are related to zero modes of copies of the Clifford algebras, and it also provides a tool to study deformation of non-split super Riemann surfaces, e.g. certain families of super Riemann surfaces carrying odd parameters. On a super Riemann surface over a non-reduced base, the formalism is recursive not only in terms of pants-decomposition but also in terms of odd parameters in a suitable sense. |
| title | Superconformal topological recursion |
| topic | Mathematical Physics High Energy Physics - Theory Algebraic Geometry 14H81, 81R10, 14M30, 81T30 |
| url | https://arxiv.org/abs/2511.17320 |