Algebraic construction of integrable and super integrable hierarchies

Details Algebraic construction of integrable and super integrable hierarchies Algebraic construction of integrable and super integrable hierarchies

2004-08-30

arxiv.org/abs/hep-th/0408231v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, commun. presented to the XI International Conference on Symmetry Methods in Physics, June 21-24, 2004, Prague, Czech

Scientific paper

A general construction of integrable hierarchies based on affine Lie algebras is presented. The models are specified according to some algebraic data and their time evolution is obtained from solutions of the zero curvature condition. Such framework provides an unified treatment of relativistic and non relativistic models. The extension to the construction of supersymmetric integrable hierarchies is proposed. An explicit example of N=2 super mKdV and sinh--Gordon is presented.

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