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July 29, 2019 to August 2, 2019
Northeastern University
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A Quadrillion Standard Models from F-theory

Jul 29, 2019, 4:40 PM
West Village G 106 (Northeastern University)

West Village G 106

Northeastern University

Oral Presentation Field & String Theory Field & String Theory


Mr Jiahua Tian (Northeastern University)


We present an explicit construction of $\mathcal{O}(10^{15})$ 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 $\mathcal{O}(10^{15})$ bases, each of which defines a distinct compactification.

Primary authors

Prof. Mirjam Cvetic (University of Pennsylvania) Prof. James Halverson (Northeastern University) Dr Ling Lin (University of Pennsylvania) Mrs Muyang Liu (University of Pennsylvania) Mr Jiahua Tian (Northeastern University)

Presentation materials