非阿贝尔轨形（Orbifold）的风味
The Flavor of Non-Abelian Orbifolds
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中文总结 AI 辅助
本文研究非阿贝尔点群对称杂化轨形中与模无关的离散风味对称性起源，提出基于阿贝尔化与几何自同构的方法，并应用于331种非阿贝尔仿射几何，为弦论唯象模型构建提供新途径。
中文摘要 AI 辅助
在弦论模型构建中，风味对称性可以来源于紧致空间的几何特征。在杂化轨形模型的情形下，模与传统的风味对称性可同时与轨形空间群的几何及代数性质相关联。我们的目标是研究具有非阿贝尔点群的对称杂化轨形中与模无关的离散风味对称性的起源。我们发展了多种基于轨形空间群的阿贝尔化与几何自同构的方法，以确定这些对称性及其对物质场携带的相关荷。值得注意的是，我们的方法被应用于全部331种非阿贝尔仿射几何，包括旋转-平移（roto-translations），适用于在四维中实现N=1超对称杂化紧致化。这为从弦论推导新型唯象可行模型提供了额外的动力。
英文摘要
In string model building, flavor symmetries can arise from the geometric features of the compactification space. In the case of heterotic orbifold models, modular and traditional flavor symmetries can be related to both geometric and algebraic properties of the orbifold space group. Our goal is to study the origin of moduli-independent discrete flavor symmetries in symmetric heterotic orbifolds with non-Abelian point groups. We develop various methods based on the Abelianization and the geometric automorphisms of the orbifold space group to determine these symmetries and their associated charges for matter fields. Notably, our methods were applied to all 331 non-Abelian affine geometries, including roto-translations, suitable for delivering N=1 supersymmetric heterotic compactifications in four dimensions. This provides additional motivation to pursue the derivation of new types of phenomenologically viable models from string theory.
发表机构
- Instituto de Física, Universidad Nacional Autónoma de México（墨西哥国立自治大学物理研究所）
- Facultad de Ciencias Físico-Matemáticas, Universidad Autónoma de Coahuila（科阿韦拉自治大学理学院）
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