Integrability of classical affine W-algebras
Mathematical Physics
2021-01-28 v2 math.MP
Rings and Algebras
Representation Theory
Exactly Solvable and Integrable Systems
Abstract
We prove that all classical affine W-algebras W(g,f), where g is a simple Lie algebra and f is its non-zero nilpotent element, admit an integrable hierarchy of bi-Hamiltonian PDEs, except possibly for one nilpotent conjugacy class in G_2, one in F_4, and five in E_8.
Keywords
Cite
@article{arxiv.2007.01244,
title = {Integrability of classical affine W-algebras},
author = {Alberto De Sole and Mamuka Jibladze and Victor G. Kac and Daniele Valeri},
journal= {arXiv preprint arXiv:2007.01244},
year = {2021}
}
Comments
18 pages