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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ArXiv ePrint: 1101.1357
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Oh, J.J., Park, C. & Yang, H.S. Yang-Mills instantons from gravitational instantons. J. High Energ. Phys. 2011, 87 (2011). https://doi.org/10.1007/JHEP04(2011)087
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DOI: https://doi.org/10.1007/JHEP04(2011)087