Stable Yang-Mills connections on Special Holonomy Manifolds

Teng Huang

Stable Yang-Mills connections on Special Holonomy Manifolds

Differential Geometry 2017-02-13 v5 Mathematical Physics math.MP

Authors: Teng Huang

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.

Keywords

Yang-Mills connections special holonomy manifolds G_2-manifold G_2-instantons Calabi-Yau 3-fold energy minimizing holomorphic connections

Cite

@article{arxiv.1511.04928,
  title  = {Stable Yang-Mills connections on Special Holonomy Manifolds},
  author = {Teng Huang},
  journal= {arXiv preprint arXiv:1511.04928},
  year   = {2017}
}

Comments

Final Version; will be appear in JGP. arXiv admin note: text overlap with arXiv:0808.0667 by other authors

Stable Yang-Mills connections on Special Holonomy Manifolds

Abstract

Keywords

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