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We propose new types of integrable spinor models, generalizing the well knownones of: i) Nambu-Jona-Lasinio-Vaks-Larkin models, related to SU(N); ii) theGross-Neveu models - SP(2N); and the iii) Zakharov-Mikhailov models - SO(N). Wepropose a method for constructing their Lax representation and outline thespectral properties of the Lax operators.

Z_2-reductions of spinor models in two dimensions