On the Weyl-Wigner-Moyal Description of SU$(\infty)$ Nahm Equations

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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21 pages, phyzzx file, no figures, version to appear in Phys. Lett. A

Scientific paper

10.1016/S0375-9601(97)00546-X

We show how the reduced Self-dual Yang-Mills theory described by the Nahm
equations can be carried over to the Weyl-Wigner-Moyal formalism employed
recently in Self-dual gravity. Evidence of the existence of correspondence
between BPS magnetic monopoles and space-time hyper-K\"ahler metrics is given.

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