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We show that supersymmetric flux vacua with intermediate SU(2) structure isclosely related to some special classes of half-flat structures. Moreconcretely, solutions of the SUSY equations IIA possess a symplectic half-flatstructure, whereas solutions of the SUSY equations IIB admit a half-flatstructure which is in certain sense near to the balanced condition. Using thisresult we show that compact simply connected manifolds do not admit type IIBsolutions. New solutions of the SUSY equations IIA and IIB are constructed fromhyperk\"ahler 4-manifolds, special hypo 5-manifolds and 6-dimensionalsolvmanifolds.

On the geometry underlying supersymmetric flux vacua with intermediate SU(2) structure