Anomaly-free model building with algebraic geometry
We present a method to find anomaly-free gauged Froggatt-Nielsen type models using results from algebraic geometry. These methods should be of general interest for model building beyond the Standard Model (SM) when rational charges are required. We consider models with a gauged U(1) flavor symmetry with one flavon and two Higgs doublets and three right-handed SM singlets to provide three model exa