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Title: Gauge groups and matter fields on some models of F-theory without section
Authors: Kimura, Yusuke
Author's alias: 木村, 裕介
Keywords: F-Theory
Gauge Symmetry
Differential and Algebraic Geometry
Superstring Vacua
Issue Date: Mar-2016
Publisher: Springer Verlag
Journal title: Journal of High Energy Physics
Volume: 2016
Thesis number: 042
Abstract: We investigate F-theory on an elliptic Calabi-Yau 4-fold without a section to the fibration. To construct an elliptic Calabi-Yau 4-fold without a section, we introduce families of elliptic K3 surfaces which do not admit a section. A product K3 × K3, with one of the K3’s chosen from these families of elliptic K3 surfaces without a section, realises an elliptic Calabi-Yau 4-fold without a section. We then compactify F-theory on such K3 × K3’s. We determine the gauge groups and matter fields which arise on 7-branes for these models of F-theory compactifications without a section. Since each K3 × K3 constructed does not have a section, gauge groups arising on 7-branes for F-theory models on constructed K3 × K3’s do not have U(1)-part. Interestingly, exceptional gauge group E6 appears for some cases.
Rights: © 2016, The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0
DOI(Published Version): 10.1007/JHEP03(2016)042
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