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- W2162635833 abstract "We analyze the standard model gauge group $$SU(3)times SU(2) times U(1)$$ constructed in F-theory. The non-Abelian part $$SU(3) times SU(2)$$ is described by a surface singularity of Kodaira type. Blow-up analysis shows that the non-Abelian part is distinguished from the naïve product of $$SU(3)$$ and $$SU(2)$$ , but that it should be a rank three group along the chain of $$E_n$$ groups, because it has non-generic gauge symmetry enhancement structure responsible for desirable matter curves. The Abelian part $$U(1)$$ is constructed from a globally valid two-form with the desired gauge quantum numbers, using a similar method to the decomposition (factorization) method of the spectral cover. This technique makes use of an extra section in the elliptic fiber of the Calabi–Yau manifold, on which F-theory is compactified. Conventional gauge coupling unification of $$SU(5)$$ is achieved, without requiring a threshold correction from the flux along the hypercharge direction." @default.
- W2162635833 created "2016-06-24" @default.
- W2162635833 creator A5064134713 @default.
- W2162635833 date "2014-06-01" @default.
- W2162635833 modified "2023-10-18" @default.
- W2162635833 title "On the standard model group in F-theory" @default.
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- W2162635833 doi "https://doi.org/10.1140/epjc/s10052-014-2939-7" @default.
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