Kac-Moody groups and integrability of soliton equations

Boris Feigin*, Edward Frenkel

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

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 explicity identified with infinitesimal action of the principal abelian subalgebra of the corresponding affine Kac-Moody algebra on a homogeneous space.

Original languageEnglish
Pages (from-to)379-408
Number of pages30
JournalInventiones Mathematicae
Volume120
Issue number1
DOIs
StatePublished - Dec 1995
Externally publishedYes

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