Gordan-Rankin-Cohen operators on the spaces of weighted densities in superdimension $1\vert 1$
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866911620836360192 |
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| author | Bovdi, V. Leites, D. |
| author_facet | Bovdi, V. Leites, D. |
| contents | The modular forms and weighted densities over the 1-dimensional manifold $M$ are transformed ``alike" under the group of linear fractional changes of coordinates, so the classifications of differential operators between spaces of (A) modular forms and (B) weighted densities are sometimes identified, although they are different. Here, we solve problem B for superstrings in superdimension $(1\vert 1)$ -- superizations of the result of arXiv:2404.18222. Open problems are offered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_08280 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Gordan-Rankin-Cohen operators on the spaces of weighted densities in superdimension $1\vert 1$ Bovdi, V. Leites, D. Representation Theory High Energy Physics - Theory Mathematical Physics 17B10, 53B99, 32Wxx The modular forms and weighted densities over the 1-dimensional manifold $M$ are transformed ``alike" under the group of linear fractional changes of coordinates, so the classifications of differential operators between spaces of (A) modular forms and (B) weighted densities are sometimes identified, although they are different. Here, we solve problem B for superstrings in superdimension $(1\vert 1)$ -- superizations of the result of arXiv:2404.18222. Open problems are offered. |
| title | Gordan-Rankin-Cohen operators on the spaces of weighted densities in superdimension $1\vert 1$ |
| topic | Representation Theory High Energy Physics - Theory Mathematical Physics 17B10, 53B99, 32Wxx |
| url | https://arxiv.org/abs/2603.08280 |