HET Seminar | Globally consistent three-family Standard Models in F-theory

We present recent advances in constructions of globally consistent F-theory compactifications with the exact chiral spectrum of the minimal supersymmetric Standard Model. We highlight the first such example and then turn to a subsequent systematic exploration of the landscape of F-theory three-family Standard Models with a gauge coupling unification. Employing algebraic geometry techniques, all global consistency conditions of these models can be reduced to a single geometric criterion on the base of the underlying elliptically fibered Calabi-Yau four-folds. For toric bases, this criterion only depends on an associated polytope and is satisfied for at least quadrillion bases, each of which defines a distinct compactification. We conclude by pointing out important outstanding issues.