: 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.
Mirjam Cvetič, James Halverson, Ling Lin, Muyang Liu, Jiahua Tian (2019). Quadrillion F -Theory Compactifications with the Exact Chiral Spectrum of the Standard Model. PHYSICAL REVIEW LETTERS, 123(10), 101601-01-101601-06 [10.1103/PhysRevLett.123.101601].
Quadrillion F -Theory Compactifications with the Exact Chiral Spectrum of the Standard Model
Ling Lin;
2019
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
