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

Journal Article · · Journal of High Energy Physics (Online)
 [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; Univ. of Pennsylvania, Philadelphia, PA (United States)
  2. Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy
+ Show Author Affiliations
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’.
Research Organization:
Univ. of Pennsylvania, Philadelphia (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0013528
OSTI ID:
1498531
Alternate ID(s):
OSTI ID: 22738998
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 1 Vol. 2018; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

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Cited By (6)

TASI Lectures on Abelian and Discrete Symmetries in F-theory
  • Cvetic, Mirjam; Lin, Ling
  • Proceedings of Theoretical Advanced Study Institute Summer School 2017 "Physics at the Fundamental Frontier" — PoS(TASI2017) https://doi.org/10.22323/1.305.0020
conference September 2018
The Swampland: Introduction and Review journal April 2019
An infinite swampland of U(1) charge spectra in 6D supergravity theories journal June 2018
Quadrillion F -Theory Compactifications with the Exact Chiral Spectrum of the Standard Model journal September 2019
An infinite swampland of U(1) charge spectra in 6D supergravity theories text January 2018
The Swampland: Introduction and Review text January 2019

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Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Compactification and String Models
F-Theory
Gauge Symmetry