Discrete gauge groups in certain F-theory models in six dimensions

A bstract We construct six-dimensional (6D) F-theory models in which discrete ℤ 5 , ℤ 4 , ℤ 3 , and ℤ 2 gauge symmetries arise. We demonstrate that a special family of “Fano 3-folds” is a useful tool for constructing the aforementioned models. The geometry of Fano 3-folds in the constructions of mod...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2019; no. 7; pp. 1 - 18
Main Author Kimura, Yusuke
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2019
Springer Nature B.V
SpringerOpen
Subjects
Classical and Quantum Gravitation
Differential and Algebraic Geometry
Elementary Particles
F-Theory
Gauge Symmetry
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Superstring Vacua
Superstring Vacua
Differential and Algebraic Geometry
Gauge Symmetry
F-Theory
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Summary:A bstract We construct six-dimensional (6D) F-theory models in which discrete ℤ 5 , ℤ 4 , ℤ 3 , and ℤ 2 gauge symmetries arise. We demonstrate that a special family of “Fano 3-folds” is a useful tool for constructing the aforementioned models. The geometry of Fano 3-folds in the constructions of models can be useful for understanding discrete gauge symmetries in 6D F-theory compactifications. We argue that the constructions of the aforementioned models are applicable to Calabi-Yau genus-one fibrations over any base space, except models with a discrete ℤ 5 gauge group. We construct 6D F-theory models with a discrete ℤ 5 gauge group over the del Pezzo surfaces, as well as over ℙ 1 × ℙ 1 and ℙ 2 . We also discuss some applications to four-dimensional F-theory models with discrete gauge symmetries.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP07(2019)027