Kac-Moody Groups and Integrability of Soliton Equations
High Energy Physics - Theory
2008-02-03 v3
Abstract
A new approach to integrability of affine Toda field theories and closely related to them KdV hierarchies is proposed. The flows of a hierarchy are explicitly identified with infinitesimal action of the principal abelian subalgebra of the nilpotent part of the corresponding affine algebra on a homogeneous space. This is an extended version of the paper "Generalized KdV flows and nilpotent subgroups of affine Kac-Moody groups"; it has been accepted for publication in Inventiones Mathematicae.
Keywords
Cite
@article{arxiv.hep-th/9311171,
title = {Kac-Moody Groups and Integrability of Soliton Equations},
author = {Boris Feigin and Edward Frenkel},
journal= {arXiv preprint arXiv:hep-th/9311171},
year = {2008}
}
Comments
30 pages, AMSLatex; extended version accepted for publication in Invent. Math