论文标题
折衷风味对称性的教训
Lessons from eclectic flavor symmetries
论文作者
论文摘要
从字符串理论引起的风味问题的自上而下的方法导致了结合传统和模块化风味对称性的折衷风味群的概念。为了与自下而上的方法中构建的模型进行接触，我们根据折衷的风味群（1）（1）（传统风味组Delta（54）和有限的模块化组T'的非平地组合分析了一个特定示例，以便从Eclectic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，因为它严重限制了物质场的可能的组表示和模块化权重。因此，它控制着Kaehler电位和超电势的结构，我们明确地讨论了这一点。特别是，Kaehler的潜力和超电势都表现出非试验的转化，但结合了不变动作。最后，我们发现离散的R-符号与折衷的风味群是固有的。
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 Omega(1) (a nontrivial combination of the traditional flavor group Delta(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 Kaehler potential and the superpotential, which we discuss explicitly. In particular, both Kaehler 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.
