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arXiv · 1308.6358

Instantons on the exceptional holonomy manifolds of Bryant and Salamon

Andrew Clarke
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Abstract

We give a construction of $G_2$ and $Spin(7)$ instantons on exceptional holonomy manifolds constructed by Bryant and Salamon, by using an ansatz of spherical symmetry coming from the manifolds being the total spaces of rank-4 vector bundles. In the $G_2$ case, we show that, in the asymptotically conical model, the connections are asymptotic to Hermitian Yang-Mills connections on the nearly K\"ahler $S^3\times S^3$.

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Andrew Clarke. 2013-08-29. Instantons on the exceptional holonomy manifolds of Bryant and Salamon. https://doi.org/10.1016/j.geomphys.2014.04.006

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