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

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.

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

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Cited by in corpus (12)

• On the Deformation Quantization Description of Matrix Compactifications
• Supersymmetric Moyal-Lax Representations
• The Generalized Moyal Nahm and Continuous Moyal Toda Equations
• Branes from Moyal Deformation Quantization of Generalized Yang Mills Theories
• The Matrix model and the non-commutative geometry of the supermembrane
• Nahm equations in supersymmetric mechanics
• On the Reduced SU(N) Gauge Theory in the Weyl-Wigner-Moyal Formalism
• On the Moyal deformation of Nahm Equations in seven dimensions
• On an integrable deformation of Kapustin-Witten systems
• Self-dual gravity via Hitchin's equations
• The Non-Compact Weyl Equation
• Solutions of the Generic Non-Compact Weyl Equation