Stokes Phenomenon and Yangians
Classical Analysis and ODEs
2025-01-30 v1 Quantum Algebra
Abstract
In this paper, we first establish a connection between Yangians and the unique formal solution of the quantum hypergeometric differential equations at irregular singularities. We then realize the Stokes matrices of the hypergeometric equations as infinite matrix products of representations of Yangains, with the help of the theory of difference systems. Along the way, we also investigate the algebroid structure associated with the Stokes matrices.
Keywords
Cite
@article{arxiv.2501.17516,
title = {Stokes Phenomenon and Yangians},
author = {Qian Tang and Xiaomeng Xu},
journal= {arXiv preprint arXiv:2501.17516},
year = {2025}
}
Comments
24 pages, 3 figures