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arXiv · 1511.04928

Stable Yang-Mills connections on Special Holonomy Manifolds

Teng Huang
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Abstract

We prove that energy minimizing Yang-Mills connections on a compact $G_{2}$-manifold has holonomy equal to $G_{2}$ are $G_{2}$-instantons, subject to an extra condition on the curvature. Furthermore, we show that energy minimizing connections on a compact Calabi-Yau $3$-fold has holonomy equal to $SU(3)$ subject to a similar condition are holomorphic.

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Teng Huang. 2017-02-10. Stable Yang-Mills connections on Special Holonomy Manifolds. https://arxiv.org/abs/1511.04928

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