标题： 从SU(2)_L x SU(2)_R x U(1)_(B-L)表示到SU(2)_L x U(1)_Y的q-变形以及手征U(2)的相应经典破缺项 显示英文标题

标题： Transition from SU(2)_L x SU(2)_R x U(1)_(B-L) Representation to SU(2)_L x U(1)_Y by q-Deformation and the Corresponding Classical Breaking Term of Chiral U(2)

摘要： 如果一个家族中右旋轻子（夸克）的真空期望值和超电荷分裂（Delta）消失，并且在每个手性区域中Q=T_0 + Y独立，则最小标准模型表现出非平凡的手征U(2)对称性。 作为一般化，我们从SU(2)_L x SU(2)_R x U(1)_{(B-L)}开始，并引入Delta作为一个连续参数，它是显式对称性破缺的度量。 Delta的取值在0到1/2之间将自旋-1/2表示的中性生成元转换为单态表示，即“变形”LR表示为最小标准模型。 相应的经典O(3)破坏项是一个垂直于x_3轴的磁场。 给出了基本Drinfeld-Jimbo q-变形SU(2)表示的简单映射。 显示英文摘要

摘要： The minimal Standard Model exhibits a nontrivial chiral U(2) symmetry if the vev and the hypercharge splitting (Delta) of right-handed leptons (quarks) in a family vanish and Q=T_0 + Y independently in each helicity sector. As a generalization, we start with SU(2)_L x SU(2)_R x U(1)_{(B-L)} and introduce Delta as a continuous parameter which is a measure of explicit symmetry breakdown. Values of Delta between zero and 1/2 take the neutral generator of the isospin-1/2 representation to the singlet representation, i.e. `deformes' the LR representation into the minimal Standard one. The corresponding classical O(3)-breaking term is a magnetic field perpendicular to the x_3-axis. A simple mapping on the fundamental Drinfeld-Jimbo q-deformed SU(2) representation is given.