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Heterotic compactification, an algorithmic approach

Anderson, L. B., He, Y. & Lukas, A. (2007). Heterotic compactification, an algorithmic approach. Journal of High Energy Physics, 0707(049), doi: 10.1088/1126-6708/2007/07/049


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 spectrum, including gauge singlets. In particular, we find that the number of anti-generations vanishes for all our bundles and that the spectrum is manifestly moduli-dependent.

Publication Type: Article
Additional Information: The original publication is available at archiveprefix: arXiv primaryclass: HEP-TH
Subjects: Q Science > QC Physics
Departments: School of Science & Technology > Mathematics
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