General Solution of 7 D Octonionic Top Equation Tatsuya Ueno
نویسنده
چکیده
The general solution of a 7D analogue of the 3D Euler top equation is shown to be given by an integration on a Riemann surface with genus 9. The 7D model is derived from the 8D Spin(7) invariant self-dual Yang-Mills equation dependent 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 dimensions are discussed and one of them gives 6, 5, 4D descendants and the 3D Euler top associated with Riemann surfaces with genus 6, 5, 2 and 1, respectively.
منابع مشابه
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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