English

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

High Energy Physics - Theory 2009-10-30 v5

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-K\"ahler metrics is given.

Keywords

Cite

@article{arxiv.hep-th/9612221,
  title  = {On the Weyl-Wigner-Moyal Description of SU$(\infty)$ Nahm Equations},
  author = {Hugo Garcia-Compean and Jerzy F. Plebanski},
  journal= {arXiv preprint arXiv:hep-th/9612221},
  year   = {2009}
}

Comments

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