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arXiv · 2504.02266

Knizhnik-Zamolodchikov equations in Deligne categories

Pavel Etingof·Ivan Motorin·Alexander Varchenko·Isaac Zhu
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Abstract

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.

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BibTeXRIS

Pavel Etingof, Ivan Motorin, Alexander Varchenko, Isaac Zhu. 2025-04-03. Knizhnik-Zamolodchikov equations in Deligne categories. https://doi.org/10.1007/s00220-026-05612-6

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