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We study supersymmetric (SUSY) models derived from the ten-dimensional SUSYYang- Mills theory compactified on magnetized orbifolds, with nonvanishingFayet-Iliopoulos (FI) terms induced by magnetic fluxes in extra dimensions.Allowing the presence of FI-terms relaxes a constraint on flux configurationsin SUSY model building based on magnetized backgrounds. In this case, chargedfields develop their vacuum expectation values (VEVs) to cancel the FI-terms inthe D-flat directions of fluxed gauge symmetries, which break the gaugesymmetries and lead to a SUSY vacuum. Based on this idea, we propose a newclass of SUSY magnetized orbifold models with three generations of quarks andleptons. Especially, we construct a model where the right-handed sneutrinosdevelop their VEVs which restore the supersymmetry but yield lepton numberviolating terms below the compactification scale, and show theirphenomenological consequences.

Supersymmetric models on magnetized orbifolds with flux-induced Fayet-Iliopoulos terms