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Origin of families and SO(18) grand unification

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.

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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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BenTov, Yoni0000-0002-6664-5106
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
Record Number:CaltechAUTHORS:20160415-124806505
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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
Deposited By: Tony Diaz
Deposited On:15 Apr 2016 20:19
Last Modified:10 Nov 2021 23:55

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