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Lessons from eclectic flavor symmetries
Nuclear Physics B ( IF 2.8 ) Pub Date : 2020-07-02 , DOI: 10.1016/j.nuclphysb.2020.115098
Hans Peter Nilles , Saúl Ramos–Sánchez , Patrick K.S. Vaudrevange

A top-down approach to the flavor problem motivated from string theory leads to the concept of eclectic flavor groups that combine traditional and modular flavor symmetries. To make contact with models constructed in the bottom-up approach, we analyze a specific example based on the eclectic flavor group Ω(1) (a nontrivial combination of the traditional flavor group Δ(54) and the finite modular group T) in order to extract general lessons from the eclectic scheme. We observe that this scheme is highly predictive since it severely restricts the possible group representations and modular weights of matter fields. Thereby, it controls the structure of the Kähler potential and the superpotential, which we discuss explicitly. In particular, both Kähler potential and superpotential are shown to transform nontrivially, but combine to an invariant action. Finally, we find that discrete R-symmetries are intrinsic to eclectic flavor groups.



中文翻译:

折衷风味对称性的教训

从弦理论出发,自上而下解决风味问题的方法导致了折衷风味组的概念,该组结合了传统的和模块化的风味对称性。为了与自下而上方法构建的模型建立联系,我们基于折衷风味组分析一个具体示例Ω1个 (传统风味组合的平凡组合 Δ54 和有限模群 Ť),以便从折衷方案中提取一般课程。我们观察到该方案具有很高的预测性,因为它严重限制了可能的组表示形式和物质场的模数权重。因此,它控制了Kähler势和超势的结构,我们对此进行了详细讨论。尤其是,显示了Kähler势和超势均发生了平凡的变换,但结合为不变的行为。最后,我们发现离散的R-对称性是折衷风味组固有的。

更新日期:2020-07-13
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