On the Standard Model Group in F-theory

Abstract

We analyze the Standard Model gauge group SU(3) x SU(2) x U(1) constructed in F-theory. The non-Abelian part SU(3) x SU(2) is described by singularities of Kodaira type. It is distinguished to naive product of SU(3) and SU(2), revealed by blow-up analysis, since the resolution procedures cannot be done separately to each group. The Abelian part U(1) is constructed by obtaining a desirable global two-form harboring it, using `factorization method' similar to the decomposition method of the spectral cover; It 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 threshold correction from the flux along hypercharge direction.

29 pages

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Cited by in corpus (6)

• Three-Family Particle Physics Models from Global F-theory Compactifications
• An F-theory Realization of the Chiral MSSM with ${\mathbb{Z}}_2$-Parity
• E(lementary) Strings in Six-Dimensional Heterotic F-Theory
• Supergravity in Twelve Dimension
• Twelve-dimensional Effective Action and T-duality
• MSSM from F-theory SU(5) with Klein Monodromy