## 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))/ℤ_{6} 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.

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Raghuram, N., Taylor, W. & Turner, A.P. General F-theory models with tuned (SU(3) *×* SU(2) *×* U(1))/ℤ_{6} symmetry.
*J. High Energ. Phys.* **2020**, 8 (2020). https://doi.org/10.1007/JHEP04(2020)008

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DOI: https://doi.org/10.1007/JHEP04(2020)008

### Keywords

- F-Theory
- Supergravity Models