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Title:
Globally Consistent Three-family Standard Models in F-theory
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Abstract:
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 criterion on the base of the underlying elliptically fibered Calabi-Yau fourfolds. 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 with pointing out important outstanding issues.
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