Heterotic Compactification, An Algorithmic Approach

Details Heterotic Compactification, An Algorithmic Approach Heterotic Compactification, An Algorithmic Approach

2007-02-27

arxiv.org/abs/hep-th/0702210v2

JHEP 0707:049,2007

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, Latex

Scientific paper

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.

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