CICY 3-folds的除数拓扑及其在唯象学中的应用
Divisor topologies of CICY 3-folds and their applications to phenomenology
摘要：
本文给出了复射影空间乘积中作为超曲面实现的射影完全交Calabi-Yau（pCICY）3-折叠的除子拓扑的分类.有7890个这样的pCICY，其中7820个是有利的，并且随后可以用于现象学目的。令我们惊讶的是，我们发现，整个pCICY数据库的结果只有11个（所谓的坐标）因子$(D)$不同的拓扑结构，我们将这些表面与它们可能的变形内的pCICY 3倍，这原来是满足$1 \leq h^{2,0}(D) \leq 7$。我们还提出了一个分类的所谓的充足因子的所有有利的pCICY，这可以是有用的固定所有的（萨克斯）凯勒模量通过一个单一的非微扰项的超势。我们认为，这个相对未开发的pCICY数据集配备了必要的建模成分，可用于系统搜索物理真空。为了说明这一点，在IIB型CY orientifold紧化的背景下建立模型，我们提出了一些初步的分析，在简单的模型中搜索可能的真空模稳定，作为一个模板，用于分析模型与大量的凯勒模。
英文摘要：
In this article, we present a classification for the divisor topologies of the projective complete intersection Calabi-Yau (pCICY) 3-folds realized as hypersurfaces in the product of complex projective spaces. There are 7890 such pCICYs of which 7820 are favorable, and can be subsequently useful for phenomenological purposes. To our surprise we find that the whole pCICY database results in only 11 (so-called coordinate) divisors $(D)$ of distinct topology and we classify those surfaces with their possible deformations inside the pCICY 3-fold, which turn out to be satisfying $1 \leq h^{2,0}(D) \leq 7$. We also present a classification of the so-called ample divisors for all the favorable pCICYs which can be useful for fixing all the (saxionic) Kähler moduli through a single non-perturbative term in the superpotential. We argue that this relatively unexplored pCICY dataset equipped with the necessary model building ingredients, can be used for a systematic search of physical vacua. To illustrate this for model building in the context of type IIB CY orientifold compactifications, we present moduli stabilization with some preliminary analysis of searching possible vacua in simple models, as a template to be adopted for analyzing models with a larger number of Kähler moduli.
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