Knizhnik-Zamolodchikov equations in Deligne categories
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915227577090048 |
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| author | Etingof, Pavel Motorin, Ivan Varchenko, Alexander Zhu, Isaac |
| author_facet | Etingof, Pavel Motorin, Ivan Varchenko, Alexander Zhu, Isaac |
| contents | We consider the Knizhnik-Zamolodchikov equations in Deligne Categories in the context of $(\mathfrak{gl}_m,\mathfrak{gl}_{n})$ and $(\mathfrak{so}_m,\mathfrak{so}_{2n})$ dualities. We derive integral formulas for the solutions in the first case and compute monodromy in both cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_02266 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Knizhnik-Zamolodchikov equations in Deligne categories Etingof, Pavel Motorin, Ivan Varchenko, Alexander Zhu, Isaac Representation Theory Mathematical Physics Quantum Algebra We consider the Knizhnik-Zamolodchikov equations in Deligne Categories in the context of $(\mathfrak{gl}_m,\mathfrak{gl}_{n})$ and $(\mathfrak{so}_m,\mathfrak{so}_{2n})$ dualities. We derive integral formulas for the solutions in the first case and compute monodromy in both cases. |
| title | Knizhnik-Zamolodchikov equations in Deligne categories |
| topic | Representation Theory Mathematical Physics Quantum Algebra |
| url | https://arxiv.org/abs/2504.02266 |