Yang-Mills Instantons from Gravitational Instantons

Details Yang-Mills Instantons from Gravitational Instantons Yang-Mills Instantons from Gravitational Instantons

2011-01-07

arxiv.org/abs/1101.1357v3

JHEP 1104:087,2011

Physics

High Energy Physics

High Energy Physics - Theory

v3; 38 pages, version to appear in JHEP

Scientific paper

10.1007/JHEP04(2011)087

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.

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