: 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.
Quadrillion F -Theory Compactifications with the Exact Chiral Spectrum of the Standard Model / Mirjam Cvetič; James Halverson; Ling Lin; Muyang Liu; Jiahua Tian. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - ELETTRONICO. - 123:10(2019), pp. 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.
