General F-theory models with tuned (SU(3) × SU(2) × U(1))/ℤ6 symmetry

• Main Authors: Raghuram, Nikhil (Author), Taylor, Washington (Author), Turner, Andrew P (Author)
• Format: Article
• Language: English
• Published: Springer Berlin Heidelberg, 2021-09-20T17:29:44Z.
• Subjects: Article
• Online Access: Get fulltext

 Abstract We construct a general form for an F-theory Weierstrass model over a general base giving a 6D or 4D supergravity theory with gauge group (SU(3) × SU(2) × U(1))/ℤ6 and generic associated matter, which includes the matter content of the standard model. The Weierstrass model is identified by unHiggsing a model with U(1) gauge symmetry and charges q ≤ 4 previously found by the first author. This model includes two distinct branches that were identified in earlier work, and includes as a special case the class of models recently studied by Cvetič, Halverson, Lin, Liu, and Tian, for which we demonstrate explicitly the possibility of unification through an SU(5) unHiggsing. We develop a systematic methodology for checking that a parameterized class of F-theory Weierstrass models with a given gauge group G and fixed matter content is generic (contains all allowed moduli) and confirm that this holds for the models constructed here.