Kac-Moody groups and integrability of soliton equations

Boris Feigin; Edward Frenkel

doi:10.1007/BF01241134

Kac-Moody groups and integrability of soliton equations

Boris Feigin^*
, Edward Frenkel

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	379-408
Number of pages	30
Journal	Inventiones Mathematicae
Volume	120
Issue number	1
DOIs	https://doi.org/10.1007/BF01241134
State	Published - Dec 1995
Externally published	Yes

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Kac-Moody groups and integrability of soliton equations

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