F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups
| Autor: | Kimura, Yusuke |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | JHEP 03(2020)153 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP03(2020)153 |
| Popis: | We examine the proposal in the previous paper to resolve the puzzle in transitions in discrete gauge groups. We focus on a four-section geometry to test the proposal. We observed that a discrete $\mathbb{Z}_2$ gauge group enlarges and $U(1)$ also forms in F-theory along any bisection geometries locus in the four-section geometry built as the complete intersections of two quadrics in $\mathbb{P}^3$ fibered over any base. Furthermore, we demonstrate that giving vacuum expectation values to hypermultiplets breaks the enlarged $U(1)\times \mathbb{Z}_2$ gauge group down to a discrete $\mathbb{Z}_4$ gauge group via Higgsing. We thus confirmed that the proposal in the previous paper is consistent when a four-section splits into a pair of bisections in the four-section geometry. This analysis may be useful for understanding the Higgsing processes occurring in the transitions in discrete gauge groups in six-dimensional F-theory models. We also discuss the construction of a family of six-dimensional F-theory models in which $U(1)\times\mathbb{Z}_4$ forms. Comment: 19 pages, contents added in section 2 and section 3. References added |
| Databáze: | arXiv |
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