The symmetry structure of the anti-self-dual Einstein hierarchy

Details The symmetry structure of the anti-self-dual Einstein hierarchy The symmetry structure of the anti-self-dual Einstein hierarchy

1994-10-07

arxiv.org/abs/hep-th/9410047v1

J.Math.Phys. 36 (1995) 3566-3573

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LaTeX

Scientific paper

10.1063/1.530982

An important example of a multi-dimensional integrable system is the anti-self-dual Einstein equations. By studying the symmetries of these equations, a recursion operator is found and the associated hierarchy constructed. Owing to the properties of the recursion operator one may construct a hierarchy of symmetries and find the algebra generated by them. In addition, the Lax pair for this hierarchy is constructed.

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