期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 1, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP01(2018)157
关键词
F-Theory; Compactification and String Models; Gauge Symmetry
资金
- DOE [DE-SC0013528]
- Fay R. and Eugene L. Langberg Endowed Chair
- Slovenian Research Agency
We show that F-theory compactifications with abelian gauge factors generally exhibit a non-trivial global gauge group structure. The geometric origin of this structure lies with the Shioda map of the Mordell-Weil generators. This results in constraints on the u(1) charges of non-abelian matter consistent with observations made throughout the literature. In particular, we find that F-theory models featuring the Standard Model algebra actually realise the precise gauge group [SU(3) x SU(2) x U(1)]/Z(6). Furthermore, we explore the relationship between the gauge group structure and geometric (un-)higgsing. In an explicit class of models, we show that, depending on the global group structure, an su(2) circle plus u(1) gauge theory can either unhiggs into an SU(2) x SU(2) or an SU(3) x SU(2) theory. We also study implications of the charge constraints as a criterion for the F-theory 'swampland'.
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