Higher-dimensional Generalisations of the Euler Top Equations
High Energy Physics - Theory
2009-10-30 v3 Exactly Solvable and Integrable Systems
solv-int
Abstract
Generalisations of the familiar Euler top equations in three dimensions are proposed which admit a sufficiently large number of conservation laws to permit integrability by quadratures. The usual top is a classical analogue of the Nahm equations. One of the examples discussed here is a seven-dimensional Euler top, which arises as a classical counterpart to the eight-dimensional self-dual equations which are currently believed to play a role in new developments in string theory.
Cite
@article{arxiv.hep-th/9710079,
title = {Higher-dimensional Generalisations of the Euler Top Equations},
author = {David B. Fairlie and Tatsuya Ueno},
journal= {arXiv preprint arXiv:hep-th/9710079},
year = {2009}
}
Comments
8 pages, Latex, 1 eps.file. Minor corrections, eq.(22) added, version to be published in Phys. Lett. A