2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219754In this paper we generalize our investigation of the unitarity of non-compact WZNW models connected to Hermitian symmetric spaces to the N=1 world-sheet supersymmetric extension of these models. We will prove that these models have a unitary spectrum in a BRST approach for antidominant highest weight representations if the level and weights of the gauged subalgebra are integers. We will find new critical string theories in 7 and 9 space-time dimensions.19 pages, 1 table v3: One reference added, typo's corrected, to appear in Nucl. Phys. BHigh Energy Physics - Theorytext