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arXiv · 2202.05028

SU(2)^2xU(1)-invariant G_2-instantons on the AC limit of the C7 family

Karsten Matthies·Johannes Nordström·Matt Turner
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Abstract

We construct SU(2)^2xU(1)-invariant G_2-instantons on the asymptotically conical limit of the C7 family of G_2-metrics. The construction uses a dynamical systems approach involving perturbations of an abelian solution and a solution on the G_2-cone. From this we obtain a 1-parameter family of invariant instantons with gauge group SU(2) and bounded curvature.

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Karsten Matthies, Johannes Nordström, Matt Turner. 2022-02-10. SU(2)^2xU(1)-invariant G_2-instantons on the AC limit of the C7 family. https://arxiv.org/abs/2202.05028

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