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arXiv · 2606.00993

Stokes phenomenon and quantum supergroup $U_q(\mathfrak{gl}(m|n))$

Qiao Li·Zikang Wang·Xiaomeng Xu
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Abstract

In this paper we study the Stokes phenomenon of the quantum confluent hypergeometric supersystem, certain meromorphic linear system of ordinary differential equation with a second order pole, associated to the Lie superalgebra $\mathfrak{gl}_{m|n}$. We prove that its Stokes supermatrices satisfy the Yang-Baxter equation, and thus give rise to the quantum supergroup $U_q(\mathfrak{gl}(m|n))$.

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Qiao Li, Zikang Wang, Xiaomeng Xu. 2026-05-31. Stokes phenomenon and quantum supergroup $U_q(\mathfrak{gl}(m|n))$. https://arxiv.org/abs/2606.00993

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