GUT theories from Calabi-Yau 4-folds with SO(10) Singularities

Abstract

We consider an SO(10) GUT model from F-theory compactified on an elliptically fibered Calabi-Yau with a D5 singularity. To obtain the matter curves and the Yukawa couplings, we use a global description to resolve the singularity. We identify the vector and spinor matter representations and their Yukawa couplings and we explicitly build the G-fluxes in the global model and check the agreement with the semi-local results. As our bundle is of type SU(2k), some extra conditions need to be applied to match the fluxes.

27 pages

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• Rational F-Theory GUTs without exotics
• Tate Form and Weak Coupling Limits in F-theory
• Discrete Family Symmetry from F-Theory GUTs
• M-theory on Elliptic Calabi-Yau Threefolds and 6d Anomalies
• Singular Geometry and Higgs Bundles in String Theory
• Global tensor-matter transitions in F-theory
• 48 Crepant Paths to $\text{SU}(2)\times \text{SU}(3)$
• MSSM-like from $S{U}_5\times D_4$ Models