Abstract
In [1] we proposed a model for Heterotic F-theory duality with Wilson line symmetry-breaking and a 4 + 1 split of the F-theory spectral divisor. One goal of this note is to call attention to the existence of right-handed neutrinos in our F-theory model. As pointed out in section 4 of [2] such existence may be evidence for the U(1)X-symmetry that remains after the Higgsing of E8 via
E8 ⇒ SU(5)gauge ⊕ [SU(4) ⊕ U(1)X]Higgs
occasioned by the 4 + 1 split of the spectral divisor. In addition, as a result of the ℤ2-action that supports the Wilson line we argue that the U(1)X-symmetry is, in fact, broken to ℤ2-matter parity. Finally we identify co-dimension 3 singularities which determine Yukawa couplings for the MSSM matter fields.
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References
H. Clemens and S. Raby, Heterotic-F-theory Duality with Wilson Line Symmetry-breaking, JHEP12 (2019) 016 [arXiv:1908.01913] [INSPIRE].
R. Blumenhagen, T.W. Grimm, B. Jurke and T. Weigand, Global F-theory GUTs, Nucl. Phys.B 829 (2010) 325 [arXiv:0908.1784] [INSPIRE].
H. Clemens and S. Raby, F-theory over a Fano threefold built from A4-roots, arXiv:1908.01110 [INSPIRE].
H. Clemens and S. Raby, Heterotic/F-theory Duality and Narasimhan-Seshadri Equivalence, arXiv:1906.07238 [INSPIRE].
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Clemens, C.H., Raby, S. Right-handed neutrinos and U(1)X symmetry-breaking. J. High Energ. Phys. 2020, 59 (2020). https://doi.org/10.1007/JHEP04(2020)059
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DOI: https://doi.org/10.1007/JHEP04(2020)059