Quadrillion F -Theory Compactifications with the Exact Chiral Spectrum of the Standard Model

Mirjam Cvetič; James Halverson; Ling Lin; Muyang Liu; Jiahua Tian

doi:10.1103/PhysRevLett.123.101601

Quadrillion F -Theory Compactifications with the Exact Chiral Spectrum of the Standard Model

Mirjam Cvetič^*
, James Halverson
, Ling Lin
, Muyang Liu
, Jiahua Tian

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

36 Scopus citations

Abstract

We present O(1015) string compactifications with the exact chiral spectrum of the standard model of particle physics. This ensemble of globally consistent F-theory compactifications automatically realizes gauge coupling unification. 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 O(1015) bases, each of which defines a distinct compactification.

Original language	English
Article number	101601
Journal	Physical Review Letters
Volume	123
Issue number	10
DOIs	https://doi.org/10.1103/PhysRevLett.123.101601
State	Published - 6 Sep 2019
Externally published	Yes

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10.1103/PhysRevLett.123.101601

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abstract = "We present O(1015) string compactifications with the exact chiral spectrum of the standard model of particle physics. This ensemble of globally consistent F-theory compactifications automatically realizes gauge coupling unification. 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 O(1015) bases, each of which defines a distinct compactification.",

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AU - Cvetič, Mirjam

AU - Halverson, James

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AU - Liu, Muyang

AU - Tian, Jiahua

N1 - Publisher Copyright: © 2019 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/" Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP.

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N2 - We present O(1015) string compactifications with the exact chiral spectrum of the standard model of particle physics. This ensemble of globally consistent F-theory compactifications automatically realizes gauge coupling unification. 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 O(1015) bases, each of which defines a distinct compactification.

AB - We present O(1015) string compactifications with the exact chiral spectrum of the standard model of particle physics. This ensemble of globally consistent F-theory compactifications automatically realizes gauge coupling unification. 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 O(1015) bases, each of which defines a distinct compactification.

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Quadrillion F -Theory Compactifications with the Exact Chiral Spectrum of the Standard Model

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