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<p>In this paper, we first establish a connection between Yangians and the unique formal solution of the quantum confluent hypergeometric system at irregular singularities. We then realize the Stokes matrices of the hypergeometric system as infinite matrix products of representations of Yangians, with the help of the theory of difference systems. Along the way, we also investigate the algebroid structure associated with the Stokes matrices.</p>

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Stokes Phenomenon and Yangians

  • 期刊论文

  • 发表日期：

    2025年10月9日

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  • Qian Tang,
  • Xiaomeng Xu

摘要

In this paper, we first establish a connection between Yangians and the unique formal solution of the quantum confluent hypergeometric system at irregular singularities. We then realize the Stokes matrices of the hypergeometric system as infinite matrix products of representations of Yangians, with the help of the theory of difference systems. Along the way, we also investigate the algebroid structure associated with the Stokes matrices.