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

High Energy Physics - Theory