Yang-Mills Instantons from Gravitational Instantons
arXiv:1101.1357 · doi:10.1007/JHEP04(2011)087
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.
v3; 38 pages, version to appear in JHEP
References in corpus (31)
- Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
- Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
- D-branes, Quivers, and ALE Instantons
- A Strong Coupling Test of S-Duality
- Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
- The Calculus of Many Instantons
- Magnetic Monopole Dynamics, Supersymmetry, and Duality
- Topological regularization and self-duality in four-dimensional anti-de Sitter gravity
- HyperKähler Quotient Construction of BPS Monopole Moduli Spaces
- Branes, Instantons, And Taub-NUT Spaces
- Gravitational Instantons of Type D_k
- Explicit Construction of Yang-Mills Instantons on ALE Spaces
- ALE manifolds and Conformal Field Theory
- Instantons on Gravitons
- Emergent Spacetime and The Origin of Gravity
- Moduli Spaces of Instantons on the Taub-NUT Space
- ALE Instantons in String Effective Theory
- Instantons and Emergent Geometry
- On Yang--Mills instantons over multi-centered gravitational instantons
- Gravitational Instantons from Gauge Theory
- Emergent Geometry and Quantum Gravity
- (Anti-)Instantons and the Atiyah-Hitchin Manifold
- ALE spaces from noncommutative U(1) instantons via exact Seiberg-Witten map
- Noncommutative Electromagnetism As A Large N Gauge Theory
- Geometric construction of new Yang-Mills instantons over Taub-NUT space
- Spherically symmetric selfdual Yang-Mills instantons on curved backgrounds in all even dimensions
- On Yang-Mills instantons in a spherically symmetric background
- Yang-Mills Instantons in the Gravitational Instanton Backgrounds
- Instanton-Meron Hybrid in the Background of Gravitational Instantons
- Yang-Mills Instantons Sitting on a Ricci-flat Worldspace of Double D4-brane
- An open four-manifold having no instanton
Cited by in corpus (23)
- Non-perturbative aspects of the self-dual double copy
- Towards A Background Independent Quantum Gravity
- Oscillating instanton solutions in curved space
- Test of Emergent Gravity
- Quantum Gravity from Noncommutative Spacetime
- An Efficient Representation of Euclidean Gravity I
- General relativity as a biconformal gauge theory
- Exact helicoidal and catenoidal solutions in Einstein-Maxwell theory
- Skyrmions from gravitational instantons
- Constructing an Explicit AdS/CFT Correspondence with Cartan Geometry
- Algebraic Properties of Riemannian Manifolds
- Exotic Spheres' Metrics and Solutions via Kaluza-Klein Techniques
- Second Euler number in four dimensional synthetic matter
- Anatomy of Einstein Manifolds
- More about the Instanton/Soliton/Kink correspondence
- Particle dynamics in spherically symmetric electro-vacuum instantons
- Calabi-Yau Manifolds, Hermitian Yang-Mills Instantons and Mirror Symmetry
- Form Invariance, Topological Fluctuations and Mass Gap of Yang-Mills Theory
- Generalization of Instanton-Induced Inflation and Dynamical Compactification
- NUT Solutions in Einstein-Maxwell-scalar-Gauss-Bonnet Gravity
- Explicit Construction of Hermitian Yang-Mills Instantons on Coset Manifolds
- Einstein Structure of Four-Manifolds
- Schwarzschild Instanton in Emergent Gravity