The Potential Fate of Local Model Building

Understand

We analyse local models at the point of E_8 in F-theory GUTs and identify exactly two models with potentially realistic properties concerning proton stability and a suitable pattern of quark and lepton masses.

• To this end we identify a matter parity at the local point.
• A globally consistent ultraviolet completion turns out to be problematic for both models.
• It is impossible to embed the models in a semilocal scheme via the spectral cover approach.