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.
Keywords
Cite
@article{arxiv.1309.7297,
title = {On the Standard Model Group in F-theory},
author = {Kang-Sin Choi},
journal= {arXiv preprint arXiv:1309.7297},
year = {2015}
}
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29 pages