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arXiv · 1101.1357

Yang-Mills Instantons from Gravitational Instantons

John J. Oh·Chanyong Park·Hyun Seok Yang
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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.

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John J. Oh, Chanyong Park, Hyun Seok Yang. 2011-04-15. Yang-Mills Instantons from Gravitational Instantons. https://doi.org/10.1007/jhep04(2011)087

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