BenTov, Yoni and Zee, A. (2016) Origin of families and SO(18) grand unification. Physical Review D, 93 (6). Art. No. 065036. ISSN 2470-0010. doi:10.1103/PhysRevD.93.065036. https://resolver.caltech.edu/CaltechAUTHORS:20160415-124806505
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Abstract
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.
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| Additional Information: | © 2016 American Physical Society. Received 26 May 2015; revised manuscript received 4 February 2016; published 18 March 2016. This work was supported by NSF grant No. PHY13-16748. Y. BenTov would like to thank A. Kitaev, E. G. Moon, A. Rasmussen, C. Xu, Y. Z. You, S. Catterall, and J. Preskill for helpful discussions. | |||||||||
| Group: | Institute for Quantum Information and Matter | |||||||||
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| Issue or Number: | 6 | |||||||||
| DOI: | 10.1103/PhysRevD.93.065036 | |||||||||
| Record Number: | CaltechAUTHORS:20160415-124806505 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20160415-124806505 | |||||||||
| Official Citation: | Origin of families and SO(18) grand unification Yoni BenTov and A. Zee Phys. Rev. D 93, 065036 – Published 18 March 2016 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 66223 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 15 Apr 2016 20:19 | |||||||||
| Last Modified: | 10 Nov 2021 23:55 |
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