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A systematic construction for an action describing a class of supersymmetricintegrable models as well as for pure fermionic theories is discussed in termsof the gauged WZNW model associated to twisted affine Kac-Moody algebras.Explicit examples of the $N=1,2$ super sinh(sine)-Gordon models are discussedin detail. Pure fermionic theories arises for cosets $sl(p,1)/sl(p)\otimesu(1)$ when a maximal kernel condition is fulfilled. The integrability conditionfor such models is discussed and it is shown that the simplest example when$p=2$ leads to the constrained Bukhvostov-Lipatov, Thirring, scalar massive andpseudo-scalar massless Gross-Neveu models.

Super WZNW with Reductions to Supersymmetric and Fermionic Integrable Models