On the Weyl-Wigner-Moyal Description of SU(∞) Nahm Equations
Hugo Garcia-Compean, Jerzy F. Plebanski
Abstract
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-Kähler metrics is given.
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