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PreprintarXiv licencearXiv

Spin Toda systems and N-point spherical Whittaker functions

  • Haoyi Li
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Abstract

We define and study a spin version of the open Toda integrable system, using the Iwasawa decomposition of a connected split real Lie group. We study spherical Whittaker functions as solutions of the spin Toda system. We also construct their N-point version and find the corresponding factorisation of the Casimir element, which yields asymptotic boundary KZB type equations.

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Cite

BibTeXRIS
BibTeX
@misc{li2026spin,
  title = {{Spin Toda systems and N-point spherical Whittaker functions}},
  author = {Haoyi Li},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.32149},
  eprint = {2610.32149},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.32149},
}
RIS
TY  - UNPB
TI  - Spin Toda systems and N-point spherical Whittaker functions
AU  - Haoyi Li
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.32149
UR  - https://arxiv.org/abs/2610.32149
AB  - We define and study a spin version of the open Toda integrable system, using the Iwasawa decomposition of a connected split real Lie group. We study spherical Whittaker functions as solutions of the spin Toda system. We also construct their N-point version and find the corresponding factorisation of the Casimir element, which yields asymptotic boundary KZB type equations.
ER  -