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Reduced Solutions of Toda Systems for Arbitrary Complex Simple Lie Algebras

  • Yiqian Shi
  • Chunhui Wei
  • Bin Xu
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Abstract

We study reduced solutions of Toda systems generated by spherical metrics for an arbitrary complex simple Lie algebra. The main result is an intrinsic centralizer parametrization: for a spherical metric, the reduced family is the positive Iwasawa slice cut out by the centralizer of the principal image of closure of monodromy group. As an application, we transfer existing spherical-metric existence results to the diagonal Toda source tuple.

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Cite

BibTeXRIS
BibTeX
@misc{shi2026reduced,
  title = {{Reduced Solutions of Toda Systems for Arbitrary Complex Simple Lie Algebras}},
  author = {Yiqian Shi and Chunhui Wei and Bin Xu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.36897},
  eprint = {2609.36897},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.36897},
}
RIS
TY  - UNPB
TI  - Reduced Solutions of Toda Systems for Arbitrary Complex Simple Lie Algebras
AU  - Yiqian Shi
AU  - Chunhui Wei
AU  - Bin Xu
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.36897
UR  - https://arxiv.org/abs/2609.36897
AB  - We study reduced solutions of Toda systems generated by spherical metrics for an arbitrary complex simple Lie algebra. The main result is an intrinsic centralizer parametrization: for a spherical metric, the reduced family is the positive Iwasawa slice cut out by the centralizer of the principal image of closure of monodromy group. As an application, we transfer existing spherical-metric existence results to the diagonal Toda source tuple.
ER  -