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# 2019 Meeting of the Division of Particles & Fields of the American Physical Society

July 29, 2019 to August 2, 2019
Northeastern University
US/Eastern timezone

## A Quadrillion Standard Models from F-theory

Jul 29, 2019, 4:40 PM
20m
West Village G 106 (Northeastern University)

### West Village G 106

#### Northeastern University

Oral Presentation Field & String Theory

### Speaker

Mr Jiahua Tian (Northeastern University)

### Description

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)