PreprintCC BY 4.0arXiv
Superintegrability of stratified symplectic spaces
Abstract
We define the notion of superintegrability of a Hamiltonian system on a stratified symplectic space. We focus on spin Calogero-Moser-Sutherland (sCMS) systems, where the phase space is a stratified symplectic space obtained by the Hamiltonian reduction of the cotangent bundle over a compact Lie group, and demonstrate that the sCMS systems for SU(3) are superintegrable.
Related
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BibTeX
@misc{chen2026superintegrability,
title = {{Superintegrability of stratified symplectic spaces}},
author = {Zhuo Chen and Kai Jiang and Nicolai Reshetikhin and Husileng Xiao},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.01953},
eprint = {2609.01953},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.01953},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Superintegrability of stratified symplectic spaces
AU - Zhuo Chen
AU - Kai Jiang
AU - Nicolai Reshetikhin
AU - Husileng Xiao
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.01953
UR - https://arxiv.org/abs/2609.01953
AB - We define the notion of superintegrability of a Hamiltonian system on a stratified symplectic space. We focus on spin Calogero-Moser-Sutherland (sCMS) systems, where the phase space is a stratified symplectic space obtained by the Hamiltonian reduction of the cotangent bundle over a compact Lie group, and demonstrate that the sCMS systems for SU(3) are superintegrable.
ER -