论文标题
十维字符串理论的折衷风味方案 - ii。详细的技术分析
Eclectic flavor scheme from ten-dimensional string theory -- II. Detailed technical analysis
论文作者
论文摘要
弦理论导致一种风味方案,其中模块化对称起着至关重要的作用。它们与传统的风味对称性结合在一起,将其与折衷的风味群相结合,我们通过Narain太空组的外部自动形态确定。不间断的风味对称性是这个折衷群体的亚组,它们的大小取决于模量空间中的位置。这种局部风味统一的机制允许该理论的不同扇区(例如夸克和叶子)具有不同的风味结构,并解释了风味和CP - 符号的自发分解(通过模量空间中的运动)。我们为六维弦乐紧凑型的不同子扇区得出模块化基团,包括CP和R-符号,并从此自上而下的角度确定允许风味基团的一般特性。它导致了一种非常预测的风味方案,应面对现有的风味对称性的各种自下而上的结构,以澄清哪些可以保持最高的自上而下完成。
String theory leads to a flavor scheme where modular symmetries play a crucial role. Together with the traditional flavor symmetries they combine to an eclectic flavor group, which we determine via outer automorphisms of the Narain space group. Unbroken flavor symmetries are subgroups of this eclectic group and their size depends on the location in moduli space. This mechanism of local flavor unification allows a different flavor structure for different sectors of the theory (such as quarks and leptons) and also explains the spontaneous breakdown of flavor- and CP-symmetries (via a motion in moduli space). We derive the modular groups, including CP and R-symmetries, for different sub-sectors of six-dimensional string compactifications and determine the general properties of the allowed flavor groups from this top-down perspective. It leads to a very predictive flavor scheme that should be confronted with the variety of existing bottom-up constructions of flavor symmetry in order to clarify which of them could have a consistent top-down completion.