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

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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.

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Authors and Affiliations

  1. Enrico Fermi Institute, University of Chicago, 5640 S Ellis Ave, Chicago, IL, 60637, U.S.A.

    J. Marsano & H-H. Tseng

  2. Department of Mathematics, The Ohio State University, 100 Math Tower, 231 West 18th Avenue, Columbus, OH, 43210, U.S.A.

    H. Clemens

  3. Department of Mathematics, University of Pennsylvania, 209 S 33rd Street, Philadelphia, PA, 19104, U.S.A.

    T. Pantev

  4. Department of Physics, The Ohio State University, 191 W. Woodruff Ave, Columbus, OH, 43210, U.S.A.

    S. Raby

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  1. J. Marsano
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Marsano, J., Clemens, H., Pantev, T. et al. A Global SU(5) F-theory model with Wilson line breaking. J. High Energ. Phys. 2013, 150 (2013). https://doi.org/10.1007/JHEP01(2013)150

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