Complete double-projection of light fermion masses in supersymmetric composite models

We present some general classes of supersymmetric models in which the 't Hooft anomaly-matching conditions are precisely satisfied by quasi-Goldstone fermions (QGFs) and hence mass of all the light composite fermions is double-protected by supersymmetry and chiral symmetry. To find this kind of models in an economic way we show that the low-energy spectrum consistent with chiral symmetry is exhausted by QGFs whenever there exists a complementary Higgs picture of the QGF model.