General solution of 7D octonionic top equation

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General Solution of 7 D Octonionic Top Equation

The general solution of a 7D analogue of the 3D Euler top equation is shown to be given by an integration over a Riemann surface with genus 9. The 7D model is derived from the 8D Spin(7) invariant self-dual Yang-Mills equation depending only upon one variable and is regarded as a model describing self-dual membrane instantons. Several integrable reductions of the 7D top to lower target space di...

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ژورنال

عنوان ژورنال: Physics Letters A

سال: 1998

ISSN: 0375-9601

DOI: 10.1016/s0375-9601(98)00407-1