Determination of the symmetry group for some QRT roots
Exactly Solvable and Integrable Systems
2023-05-29 v1 Mathematical Physics
Group Theory
math.MP
Abstract
We determine the affine Weyl symmetries of some two-dimensional birational maps known as QRT roots arising from Kahan--Hirota--Kimura discretisation of two different reduced Nahm systems. The main finding is that the symmetry types of these discrete systems are subgroups of the Weyl groups for Sakai's discrete Painlev\'e equations to which the QRT maps are the autonomous limits.
Keywords
Cite
@article{arxiv.2305.17107,
title = {Determination of the symmetry group for some QRT roots},
author = {Giorgio Gubbiotti and Yang Shi},
journal= {arXiv preprint arXiv:2305.17107},
year = {2023}
}
Comments
42 pages, 10 figures, 3 table, comments are welcome