Three-Family Particle Physics Models from Global F-theory Compactifications

Understand

We construct four-dimensional, globally consistent F-theory models with three chiral generations, whose gauge group and matter representations coincide with those of the Minimal Supersymmetric Standard Model, the Pati-Salam Model and the Trinification Model.

• These models result from compactification on toric hypersurface fibrations $X$ with the choice of base $\mathbb{P}^3$.
• We observe that the F-theory conditions on the $G_4$-flux restrict the number of families to be at least three.
• We comment on the phenomenology of the models, and for Pati-Salam and Trinification models discuss the Higgsing to the Standard Model.