Heterotic String Compactification and New Vector Bundles

Hai Lin Harvard University CMSA Baosen Wu Harvard University Shing-Tung Yau Harvard University CMSA

Publications of CMSA of Harvard mathscidoc:1702.38030

We propose a construction of K¨ahler and non-K¨ahler Calabi-Yau manifolds by branched double covers of twistor spaces. In this construction we use the twistor spaces of four-manifolds with self-dual conformal structures, with the examples of connected sum of n Ps. We also construct K3-fibered Calabi-Yau manifolds from the branched double covers of the blow-ups of the twistor spaces. These manifolds can be used in heterotic string compactifications to four dimensions. We also construct stable and polystable vector bundles. Some classes of these vector bundles can give rise to supersymmetric grand unified models with three generations of quarks and leptons in four dimensions.
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@inproceedings{haiheterotic,
  title={Heterotic String Compactification and New Vector Bundles},
  author={Hai Lin, Baosen Wu, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170207030832469883230},
}
Hai Lin, Baosen Wu, and Shing-Tung Yau. Heterotic String Compactification and New Vector Bundles. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170207030832469883230.
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