The symmetry structure of the anti-self-dual Einstein hierarchy
High Energy Physics - Theory
2009-10-28 v1
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9410047,
title = {The symmetry structure of the anti-self-dual Einstein hierarchy},
author = {I. A. B. Strachan},
journal= {arXiv preprint arXiv:hep-th/9410047},
year = {2009}
}
Comments
13 pages, LaTeX