Bundles over nearly-Kahler homogeneous spaces in heterotic string theory

@article{Klaput2011BundlesON,
  title={Bundles over nearly-Kahler homogeneous spaces in heterotic string theory},
  author={Michael Klaput and Andr{\'e} Lukas and Cyril Matti},
  journal={Journal of High Energy Physics},
  year={2011},
  volume={2011},
  pages={1-34}
}
We construct heterotic vacua based on six-dimensional nearly-Kahler homogeneous manifolds and non-trivial vector bundles thereon. Our examples are based on three specific group coset spaces. It is shown how to construct line bundles over these spaces, compute their properties and build up vector bundles consistent with supersymmetry and anomaly cancelation. It turns out that the most interesting coset is SU(3)/U(1)2. This space supports a large number of vector bundles which lead to consistent… 

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