Yang-Mills Instantons from Gravitational Instantons
High Energy Physics - Theory
2011-04-28 v3 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.1101.1357,
title = {Yang-Mills Instantons from Gravitational Instantons},
author = {John J. Oh and Chanyong Park and Hyun Seok Yang},
journal= {arXiv preprint arXiv:1101.1357},
year = {2011}
}
Comments
v3; 38 pages, version to appear in JHEP