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Title: The global gauge group structure of F-theory compactification with U(1)s

Abstract

We show that F-theory compactifications with abelian gauge factors generally exhibit a non-trivial global gauge group structure. The geometric origin of this structure lies with the Shioda map of the Mordell-Weil generators. This results in constraints on the u(1) charges of non-abelian matter consistent with observations made throughout the literature. Specifically, we find that F-theory models featuring the Standard Model algebra actually realise the precise gauge group [SU( 3) × SU( 2) × U( 1)]/Ζ 6. Furthermore, we explore the relationship between the gauge group structure and geometric (un-)higgsing. In an explicit class of models, we show that, depending on the global group structure, an su(2)⊕u(1) gauge theory can either unhiggs into an SU( 2) × SU( 2) or an SU( 3) × SU( 2) theory. We also study implications of the charge constraints as a criterion for the F-theory ‘swampland’.

Authors:
 [1];  [2]
  1. Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy; Univ. of Maribor, Maribor (Slovenia). Center for Applied Mathematics and Theoretical Physics
  2. Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy
Publication Date:
Research Org.:
Univ. of Pennsylvania, Philadelphia (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1498531
Grant/Contract Number:  
SC0013528
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 1; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; F-Theory; Compactification and String Models; Gauge Symmetry

Citation Formats

Cvetič, Mirjam, and Lin, Ling. The global gauge group structure of F-theory compactification with U(1)s. United States: N. p., 2018. Web. doi:10.1007/jhep01(2018)157.
Cvetič, Mirjam, & Lin, Ling. The global gauge group structure of F-theory compactification with U(1)s. United States. doi:10.1007/jhep01(2018)157.
Cvetič, Mirjam, and Lin, Ling. Wed . "The global gauge group structure of F-theory compactification with U(1)s". United States. doi:10.1007/jhep01(2018)157. https://www.osti.gov/servlets/purl/1498531.
@article{osti_1498531,
title = {The global gauge group structure of F-theory compactification with U(1)s},
author = {Cvetič, Mirjam and Lin, Ling},
abstractNote = {We show that F-theory compactifications with abelian gauge factors generally exhibit a non-trivial global gauge group structure. The geometric origin of this structure lies with the Shioda map of the Mordell-Weil generators. This results in constraints on the u(1) charges of non-abelian matter consistent with observations made throughout the literature. Specifically, we find that F-theory models featuring the Standard Model algebra actually realise the precise gauge group [SU(3) × SU(2) × U(1)]/Ζ6. Furthermore, we explore the relationship between the gauge group structure and geometric (un-)higgsing. In an explicit class of models, we show that, depending on the global group structure, an su(2)⊕u(1) gauge theory can either unhiggs into an SU(2) × SU(2) or an SU(3) × SU(2) theory. We also study implications of the charge constraints as a criterion for the F-theory ‘swampland’.},
doi = {10.1007/jhep01(2018)157},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2018,
place = {United States},
year = {2018},
month = {1}
}

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