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arXiv · 1903.00009

A Quadrillion Standard Models from F-theory

Mirjam Cvetic·James Halverson·Ling Lin·Muyang Liu·Jiahua Tian
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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.

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Mirjam Cvetic, James Halverson, Ling Lin, Muyang Liu, Jiahua Tian. 2019-02-28. A Quadrillion Standard Models from F-theory. https://doi.org/10.1103/physrevlett.123.101601

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