Heterotic String Compactifications and New Vector Bundles

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

Mathematical Physics mathscidoc:1702.22016

Distinguished Paper Award in 2017

Commun.Math.Phys., 345, (2), 457-475, 2016.7
We propose a construction of Kahler and non-Kahler 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 P2s. 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.
Heterotic string compactification, twistor spaces, Calabi-Yau space, branched covers, string models
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  • http://link.springer.com/article/10.1007%2Fs00220-016-2679-7
  title={Heterotic String Compactifications and New Vector Bundles},
  author={Hai Lin, Baosen Wu, and Shing-Tung Yau},
Hai Lin, Baosen Wu, and Shing-Tung Yau. Heterotic String Compactifications and New Vector Bundles. 2016. Vol. 345. In Commun.Math.Phys.. pp.457-475. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170225222549791341517.
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