Higher-dimensional Generalisations of the Euler Top Equations

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.

8 pages, Latex, 1 eps.file. Minor corrections, eq.(22) added, version to be published in Phys. Lett. A

References in corpus (1)

• Integrable Symplectic Trilinear Interaction Terms for Matrix Membranes

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