Publications

2026

1. Preprint

   

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

   Qiao Li, Zikang Wang, and Xiaomeng Xu

   arXiv preprint, May 2026

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   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 $\mathfrak{gl}_{m\vert n}$. We prove that its Stokes supermatrices satisfy the Yang-Baxter equation, and thus give rise to the quantum supergroup $U_q(\mathfrak{gl}(m\vert n))$.

   @article{li2026stokes,
     title = {Stokes phenomenon and quantum supergroup $U_q(\mathfrak{gl}(m\vert n))$},
     author = {Li, Qiao and Wang, Zikang and Xu, Xiaomeng},
     journal = {arXiv preprint},
     volume = {arXiv:2606.00993},
     year = {2026},
     month = may,
     url = {https://arxiv.org/abs/2606.00993},
   }