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Geometry of hyper-Khler connections with torsion

Gueo Grantcharov Yat Sun Poon

Mathematical Physics mathscidoc:1910.43791

Communications in Mathematical Physics, 213, (1), 19-37, 2000.9
The internal space of a N = 4 supersymmetric model with WessZumino term has a connection with totally skew-symmetric torsion and holonomy in SP(<i>n</i>). We study the mathematical background of this type of connection. In particular, we relate it to classical Hermitian geometry, construct homogeneous as well as inhomogeneous examples, characterize it in terms of holomorphic data, develop its potential theory and reduction theory.
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@inproceedings{gueo2000geometry,
  title={Geometry of hyper-Khler connections with torsion},
  author={Gueo Grantcharov, and Yat Sun Poon},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020220133030220320},
  booktitle={Communications in Mathematical Physics},
  volume={213},
  number={1},
  pages={19-37},
  year={2000},
}
Gueo Grantcharov, and Yat Sun Poon. Geometry of hyper-Khler connections with torsion. 2000. Vol. 213. In Communications in Mathematical Physics. pp.19-37. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020220133030220320.
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