Abstract
We build a supersymmetric model based on the gauge group [Formula: see text], where [Formula: see text] is a new charge and [Formula: see text] and [Formula: see text] are the usual baryonic and leptonic numbers, respectively. The model has three right-handed neutrinos with nonidentical [Formula: see text] charges. The type-I seesaw mechanism is implemented for the generating masses for all the neutrinos. There are good candidates for dark matter and due to a Majorana phase at sneutrinos masses it is possible to induce leptogenesis in this model.
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