Globally Consistent Three-family Standard Models in F-theory

Globally Consistent Three-family Standard Models in F-theory - Mirjam Cvetic

Mirjam Cvetic
University of Pennsylvania
April 29, 2019

We present recent advances in constructions of globally consistent 
F-theory compactifications with the exact chiral spectrum of the minimal 
supersymmetric Standard Model. We highlight the first such example and 
then turn to a subsequent systematic exploration of the landscape of 
F-theory three-family Standard Models with a gauge coupling unification. 
Employing algebraic geometry techniques, all global consistency 
conditions of these models 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 quadrillion bases, each of which defines a 
distinct compactification. We conclude with pointing out important 
outstanding issues.