Heterotic Compactification, An Algorithmic Approach

  title={Heterotic Compactification, An Algorithmic Approach},
  author={Lara B. Anderson and Yang-Hui He and Andr{\'e} Lukas},
  journal={Journal of High Energy Physics},
We approach string phenomenology from the perspective of computational algebraic geometry, by providing new and efficient techniques for proving stability and calculating particle spectra in heterotic compactifications. This is done in the context of complete intersection Calabi-Yau manifolds in a single projective space where we classify positive monad bundles. Using a combination of analytic methods and computer algebra we prove stability for all such bundles and compute the complete particle… 

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