Title: A Note on Symmetric Mass and Interaction Terms for Weyl Spinors and SUSY Show Chinese title

Title: 关于Weyl旋量和SUSY的对称质量和相互作用项的注记

Abstract: One can always write the mass matrix for Weyl spinors so that it is symmetric. However this is often not a good idea. It is usually incompatible with irreducibility of the fermion representations. As a result, a symmetrized mass term hides important symmetries and creates misleading difficulties that are not genuinely part of the theory. This is true for the Standard Model for example, and for its supersymmetric versions. There is a related subtlety, involving symmetrization of the interaction terms, that is central to the SUSY breaking mechanism of Cybersusy. Show Chinese abstract

Abstract: 人们总可以将外尔旋量的质量矩阵写成对称的形式，但这样做通常不是个好主意。它通常与费米子表示的不可约性不兼容。因此，对称化后的质量项会隐藏重要的对称性，并产生并非理论固有的误导性困难。这一点对于标准模型及其超对称版本都是成立的。与此相关还有一个微妙之处，涉及相互作用项的对称化，这是Cybersusy中超对称破缺机制的核心。