What is the minimal supersymmetric Standard Model from F-theory?

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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 languageEnglish
Pages (from-to)218-222
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number1
StatePublished - 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 .


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