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


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Article Info

DATE

2018-01

AUTHORS

Mirjam Cvetič, Ling Lin

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 u1 charges of non-abelian matter consistent with observations made throughout the literature. In particular, we find that F-theory models featuring the Standard Model algebra actually realise the precise gauge group [SU(3) × SU(2) × U(1)]/ℤ6. 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 su2⊕u1 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’. More... »

PAGES

157

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  • Journal

    TITLE

    Journal of High Energy Physics

    ISSUE

    1

    VOLUME

    2018

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep01(2018)157

    DOI

    http://dx.doi.org/10.1007/jhep01(2018)157

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1100747903


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