Heterotic Compactification, An Algorithmic Approach
Heterotic Compactification, An Algorithmic Approach
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DOI：
10.1088/1126-6708/2007/07/049
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发表时间：
2007-02
影响因子：
5.4
通讯作者：
L. Anderson;Yang-Hui He;A. Lukas
中科院分区：
文献类型：
--
作者：
L. Anderson;Yang-Hui He;A. Lukas
我们从计算代数几何的角度研究弦现象学，提供了新的、有效的技术来证明异质紧化的稳定性和计算粒子谱。这是在单射影空间中的完全相交Calabi-Yau流形的背景下完成的，我们对正单束进行了分类。利用解析方法和计算机代数的结合，我们证明了所有这些束的稳定性，并计算了完整的粒子谱，包括规范单重态。特别地，我们发现所有束的反代数都消失了，而且谱明显是模相关的。
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.