Yang-Mills instantons from gravitational instantons

2011/01/31 by J. J. Oh, John J. Oh, Chanyong Park +1 · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Duality (order theory) #Gravitation #Instanton #Manifold (fluid mechanics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Theoretical physics #gr-qc #hep-th

paper · pdf · doi:10.1007/jhep04(2011)087

published as JHEP 1104:087,2011 · v3; 38 pages, version to appear in JHEP

openalex publication_date 2011/04/01 · arxiv created 2011/04/15 · arxiv updated 2011/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that every gravitational instantons are SU(2) Yang-Mills instantons on a Ricci-flat four manifold although the reverse is not necessarily true. It is shown that gravitational instantons satisfy exactly the same self-duality equation of SU(2) Yang-Mills instantons on the Ricci-flat manifold determined by the gravitational instantons themselves. We explicitly check the correspondence with several examples and discuss their topological properties.

Citations

• Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
• Noncommutative electromagnetism as a large N gauge theory
• Some Exact Multipseudoparticle Solutions of Classical Yang-Mills Theory
• Construction of instantons
• Moduli Spaces of Instantons on the Taub-NUT Space
• Instantons and emergent geometry
• Gravitation, gauge theories and differential geometry
• Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD
• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• The Calculus of Many Instantons
• Emergent spacetime and the origin of gravity
• D-branes, Quivers, and ALE Instantons
• Branes, instantons, and Taub-NUT spaces
• An open four-manifold having no instanton
• Gravitational instantons

Cited by

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