Duality and YangMills fields on quaternionic Khler manifolds

Krzysztof Galicki Yat Sun Poon

Complex Variables and Complex Analysis mathscidoc:1910.43798

Journal of mathematical physics, 32, (5), 1263-1268, 1991.5
The concept of a selfdual connection on a fourdimensional Riemannian manifold is generalized to the 4ndimensional case of any quaternionic Khler manifold. The generalized selfdual connections are minima of a modified YangMills functional. It is shown that our definitions give a correct framework for a mapping theory of quaternionic Khler manifolds. The mapping theory is closely related to the construction of YangMills fields on such manifolds. Some monopolelike equations are discussed.
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@inproceedings{krzysztof1991duality,
  title={Duality and YangMills fields on quaternionic Khler manifolds},
  author={Krzysztof Galicki, and Yat Sun Poon},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020220549724026327},
  booktitle={Journal of mathematical physics},
  volume={32},
  number={5},
  pages={1263-1268},
  year={1991},
}
Krzysztof Galicki, and Yat Sun Poon. Duality and YangMills fields on quaternionic Khler manifolds. 1991. Vol. 32. In Journal of mathematical physics. pp.1263-1268. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020220549724026327.
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