Knizhnik-Zamolodchikov equations in Deligne categories

Published 3 Apr 2025 in math.RT, math-ph, math.MP, and math.QA | (2504.02266v2)

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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