Reductions of selfdual Yang-Mills fields and classical systems

Chakravarty, S.; Ablowitz, M.J.; Clarkson, P.A.

doi:10.1103/PhysRevLett.65.1085

Reductions of selfdual Yang-Mills fields and classical systems

1990

3 pages

Published in:

Phys.Rev.Lett. 65 (1990) 1085-1087

DOI:

10.1103/PhysRevLett.65.1085

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Abstract: (APS)

One-dimensional reductions of the self-dual Yang-Mills equations yield various classical systems depending on the choice of the Lie algebra associated with the self-dual fields. Included are the Euler-Arnold equations for rigid bodies in n dimensions, the Kovalevskaya top, and a generalization of the Nahm equation which is related to a classical third-order differential equation possessing a movable natural boundary in the complex plane.

field equations: Yang-Mills
duality
dimensional reduction
dimension: 1
algebra: Lie
differential equations: Lax system

References(11)

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