2000 character limit reached
A Quadrillion Standard Models from F-theory (1903.00009v3)
Published 28 Feb 2019 in hep-th, hep-ph, and math.AG
Abstract: We present an explicit construction of ${\cal O}(10{15})$ globally consistent string compactifications that realize the exact chiral spectrum of the Standard Model of particle physics with gauge coupling unification in the context of F-theory. Utilizing the power of algebraic geometry, all global consistency conditions 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 ${\cal O}(10{15})$ bases, each of which defines a distinct compactification.