https://doi.org/10.1140/epjc/s10052-014-2939-7
Regular Article - Theoretical Physics
On the standard model group in F-theory
Scranton Honors Program, Ewha Womans University, Seoul, 120-750, Korea
* e-mail: kangsin@ewha.ac.kr
Received:
27
March
2014
Accepted:
10
June
2014
Published online:
24
June
2014
We analyze the standard model gauge group 
constructed in F-theory. The non-Abelian part 
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 
and 
, but that it should be a rank three group along the chain of 
groups, because it has non-generic gauge symmetry enhancement structure responsible for desirable matter curves. The Abelian part 
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 
is achieved, without requiring a threshold correction from the flux along the hypercharge direction.
© SIF and Springer-Verlag Berlin Heidelberg, 2014
