A ν supersymmetric anomaly-free atlas

A bstract Extensions of the minimal supersymmetric standard model (MSSM) gauge group abound in literature. Several these include an additional U(1) X group. Chiral fermions’ charge assignments under are constrained to cancel local anomalies extension and they determine structure phenomenology it. We provide all anomaly-free up a maximum absolute Q max = 10, assuming that chiral superfield content is MSSM plus three Standard Model (SM) singlet superfields. The fermionic components SM singlets may play rôle right-handed neutrinos, whereas one scalar flavon, spontaneously breaking . Easily scanned lists made publicly available on Zenodo. For case where no restriction placed upon , we also analytic parameterisation general solution using simple techniques from algebraic geometry.