Knizhnik-Zamolodchikov equations in Deligne categories

2025/04/03 by Etingof, Pavel, Motorin, Ivan, Varchenko, Alexander +1
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2504.02266

Abstract

We consider the Knizhnik-Zamolodchikov equations in Deligne Categories in the context of (\mathfrakgl_m,\mathfrakgl_n) and (\mathfrakso_m,\mathfrakso_2n) dualities. We derive integral formulas for the solutions in the first case and compute monodromy in both cases.

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