标题： MSSM中的离散对称性 显示英文标题

标题： Discrete Symmetries in the MSSM

摘要： 离散对称性，尤其是阿贝尔对称性，在粒子物理标准模型之外的物理学中的应用被讨论。 一种方法被开发出来，用于通过自发对称性破缺获得一般的阿贝尔离散对称性。 此外，在路径积分方法中处理了异常问题，特别关注通过Green-Schwarz机制消除异常。 所有这些都被应用于最小超对称标准模型。 发现了一个唯一的Z_4^R对称性，它解决了\mu 问题以及质子衰变的问题，并允许将标准模型规范群嵌入到一个简单群中，即 Z_4^R与大统一相容。 此外，还讨论了在最小风味破坏背景下的风味问题。 最后，介绍了一个弦理论模型，该模型表现出上述的Z_4^R对称性和其他理想的特性。 显示英文摘要

摘要： The use of discrete symmetries, especially abelian ones, in physics beyond the standard model of particle physics is discussed. A method is developed how a general, abelian, discrete symmetry can be obtained via spontaneous symmetry breaking. In addition, anomalies are treated in the path integral approach with special attention to anomaly cancellation via the Green-Schwarz mechanism. All this is applied to the minimal supersymmetric standard model. A unique Z_4^R symmetry is discovered which solves the \mu-problem as well as problems with proton decay and allows to embed the standard model gauge group into a simple group, i.e. the Z_4^R is compatible with grand unification. Also the flavor problem in the context of minimal flavor violation is addressed. Finally, a string theory model is presented which exhibits the mentioned Z_4^R symmetry and other desirable features.