Lie-Algebraic Characterization of 2D (Super-)Integrable Models

Abstract

It is pointed out that affine Lie algebras appear to be the natural mathematical structure underlying the notion of integrability for two-dimensional systems. Their role in the construction and classification of 2D integrable systems is discussed. The super- symmetric case will be particularly enphasized. The fundamental examples will be outlined.

6 pages, LaTex, Talk given at the conference in memory of D.V. Volkov, Kharkhov, January 1997. To appear in the proceedings

References in corpus (6)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• 2D Gravity and Random Matrices
• $N=4$ super KdV equation
• N=1,2 Super-NLS Hierarchies as Super-KP Coset Reductions
• New supersymmetric generalization of the Liouville equation
• Hamiltonian Reduction of Supersymmetric WZNW Models on Bosonic Groups and Superstrings