Abstract
We construct gauge theory of SU(3)×SU(2)×U(1) by spectral cover from F-theory and ask how the Standard Model is extended under minimal assumptions on Higgs sector. For the requirement on different numbers between Higgs pairs and matter generations (respectively one and three) distinguished by R-parity, we choose a universal G-flux obeying SO(10) but slightly breaking E 6 unification relation. This condition forces distinction between up and down Higgs fields, suppression of proton decay operators up to dimension five, and existence and dynamics of a singlet related to μ-parameter.
Original language | English |
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Pages (from-to) | 218-222 |
Number of pages | 5 |
Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
Volume | 718 |
Issue number | 1 |
DOIs | |
State | Published - 15 Nov 2012 |
Bibliographical note
Funding Information:The author is grateful to Hirotaka Hayashi, Jihn E. Kim, Tatsuo Kobayashi, Bumseok Kyae, Seung-Joo Lee, Hans-Peter Nilles and Martijn Wijnholt for discussions and correspondences. This work is partly supported by the National Research Foundation of Korea (NRF) with grant number 2012-040695 .