Journal of High Energy Physics

, 2013:150

A Global SU(5) F-theory model with Wilson line breaking

  • J. Marsano
  • H. Clemens
  • T. Pantev
  • S. Raby
  • H-H. Tseng
Article

DOI: 10.1007/JHEP01(2013)150

Cite this article as:
Marsano, J., Clemens, H., Pantev, T. et al. J. High Energ. Phys. (2013) 2013: 150. doi:10.1007/JHEP01(2013)150

Abstract

We engineer compact SU(5) Grand Unified Theories in F-theory in which GUT-breaking is achieved by a discrete Wilson line. Because the internal gauge field is flat, these models avoid the high scale threshold corrections associated with hypercharge flux. Along the way, we exemplify the ‘local-to-global’ approach in F-theory model building and demonstrate how the Tate divisor formalism can be used to address several challenges of extending local models to global ones. These include in particular the construction of G-fluxes that extend non-inherited bundles and the engineering of U(1) symmetries. We go beyond chirality computations and determine the precise (charged) massless spectrum, finding exactly three families of quarks and leptons but excessive doublet and/or triplet pairs in the Higgs sector (depending on the example) and vector-like exotics descending from the adjoint of SU(5)GUT. Understanding why vector-like pairs persist in the Higgs sector without an obvious symmetry to protect them may shed light on new solutions to the μ problem in F-theory GUTs.

Keywords

Strings and branes phenomenology 

Copyright information

© SISSA, Trieste, Italy 2013

Authors and Affiliations

  • J. Marsano
    • 1
  • H. Clemens
    • 2
  • T. Pantev
    • 3
  • S. Raby
    • 4
  • H-H. Tseng
    • 1
  1. 1.Enrico Fermi InstituteUniversity of ChicagoChicagoU.S.A.
  2. 2.Department of MathematicsThe Ohio State UniversityColumbusU.S.A.
  3. 3.Department of MathematicsUniversity of PennsylvaniaPhiladelphiaU.S.A.
  4. 4.Department of PhysicsThe Ohio State UniversityColumbusU.S.A.

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