Heterotic compactification, an algorithmic approach
Anderson, L. B., He, Y. & Lukas, A. (2007). Heterotic compactification, an algorithmic approach. Journal of High Energy Physics, 2007(07), article number 049. doi: 10.1088/1126-6708/2007/07/049
Abstract
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 http://iopscience.iop.org/1126-6708/2007/07/049/ archiveprefix: arXiv primaryclass: HEP-TH |
| Subjects: | Q Science > QC Physics |
| Departments: | School of Science & Technology > Mathematics |
| SWORD Depositor: |
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