2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/189479We discuss supersymmetric compactifications of heterotic strings in the presence of H-flux and general condensates using the formalism of G-structures and intrinsic torsion. We revisit the examples based on nearly-Kaehler coset spaces and show that supersymmetric solutions, where the Bianchi identity is satisfied, can be obtained when both gaugino and dilatino condensates are present.27 pages; v3 final version to appear in Nucl. Phys. BHigh Energy Physics - TheoryHigh Energy Physics - Phenomenologytext