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

Phys Rev Lett. 2019 Sep 6;123(10):101601. doi: 10.1103/PhysRevLett.123.101601.

Authors

Mirjam Cvetič^{1

2}, James Halverson³, Ling Lin¹, Muyang Liu¹, Jiahua Tian³

Affiliations

¹ Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6396, USA.
² Center for Applied Mathematics and Theoretical Physics, University of Maribor, SI-2000 Maribor, Slovenia.
³ Department of Physics, Northeastern University, Boston, Massachusetts 02115-5000, USA.

PMID: 31573320
DOI: 10.1103/PhysRevLett.123.101601

Abstract

We present O(10^{15}) 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(10^{15}) bases, each of which defines a distinct compactification.