Origin of families and SO(18) grand unification

被引：21

作者：

BenTov, Yoni ^{[1
,3
]}

Zee, A. ^{[1
,2
]}

机构：

[1] Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA

[2] Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USA

[3] CALTECH, Inst Quantum Informat & Matter, Pasadena, CA 91125 USA

来源：

PHYSICAL REVIEW D | 2016年 / 93卷 / 06期

基金：

美国国家科学基金会;

关键词：

CHIRAL FERMIONS; CABIBBO ANGLE; FLAVOR; SYMMETRIES; SUBGROUPS; SO(3);

D O I：

10.1103/PhysRevD.93.065036

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We exploit a recent advance in the study of interacting topological superconductors to propose a solution to the family puzzle of particle physics in the context of SO(18) [or more correctly, Spin(18)] grand unification. We argue that Yukawa couplings of intermediate strength may allow the mirror matter and extra families to decouple at arbitrarily high energies. As was clear from the existing literature, we have to go beyond the Higgs mechanism in order to solve the family puzzle. A pattern of symmetry breaking which results in the SU(5) grand unified theory with horizontal or family symmetry USp(4) = Spin(5) [or more loosely, SO(5)] leaves exactly three light families of matter and seems particularly appealing. We comment briefly on an alternative scheme involving discrete non-Abelian family symmetries. In a few lengthy Appendices we review some of the pertinent condensed matter theory.

引用

页数：19

共 51 条

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