Generalized Nambu system on S^3 and spinors

Physics – Mathematical Physics

Scientific paper

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7 pages

Scientific paper

It is shown that the manifold S^3 can be equipped with a natural Nambu
structure arising out of a cross product on the tangent space. Further, the
group action of SU(2) on S^3 is shown to be Nambu action. Moreover, we compare
the action of SU(2) on spinors with that of a Nambu system.

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