A Note on Hypercharge Flux, Anomalies, and U(1)s in F-theory GUTs

Abstract

We study the consequences of cancellation of cubic Abelian anomalies in F-theory GUT models that utilise hypercharge flux in the presence of additional U(1) symmetries. We show that a mixed anomaly between the hypercharge and two U(1) gauge fields is not automatically canceled in local models based on the spectral cover and therefore imposes additional constraints on local models in F-theory that have not been accounted for so far. The constraints imply that there are only two possible classes of models in F-theory GUTs which have fields on matter curves in non-complete GUT representations that are not vector-like under all U(1)s: the ones based on a 3+2 and 2+2+1 split. We comment on some phenomenological implications of these results for realising NMSSM-like models from F-theory GUTs.

4 pages; v2: Corrected statement in final section on the compatibility of an exotic spectrum with anomalies

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• Hypercharge Flux in IIB and F-theory: Anomalies and Gauge Coupling Unification
• Vector-Like Exotics in F-Theory and 750 GeV Diphotons
• Gauge Coupling Unification in E6 F-Theory GUTs with Matter and Bulk Exotics from Flux Breaking
• Rational F-Theory GUTs without exotics
• The Toric SO(10) F-Theory Landscape
• The NMSSM with F-theory unified boundary conditions
• $E_6$ Yukawa couplings in F-theory as D-brane instanton effects
• On the LHC signatures of $SU(5)\times U(1{)}^{\prime }$ F-theory motivated models
• On $E_8$ and F-Theory GUTs
• Diphoton Resonance in F-theory inspired Flipped SO(10)
• Froggatt-Nielsen meets Mordell-Weil: A Phenomenological Survey of Global F-theory GUTs with U(1)s