Raghuram, NikhilTaylor, WashingtonTurner, Andrew P.2020-05-052020-05-052020-04-011029-84798http://hdl.handle.net/10919/97976We 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 Cvetic, 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.application/pdfenCreative Commons Attribution 4.0 InternationalF-TheorySupergravity ModelsArticle - Refereedhttps://doi.org/10.1007/JHEP04(2020)0084