Infinite families of homogeneous Bismut Ricci flat manifolds

Starting from compact symmetric spaces of inner type, we provide infinite families homogeneous carrying invariant non-flat Bismut connections with vanishing Ricci tensor. These examples turn out to be generalized order [Formula: see text] and (up coverings) they can realized as minimal submanifolds the flat model spaces, namely Lie groups. This construction generalizes standard Cartan embedding spaces.