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

Physics – High Energy Physics – High Energy Physics - Theory

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

Scientific paper

10.1007/BFb0105241

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.

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