  As a step to understand general patterns of integrability in 1+1 quantum
field theories with supergroup symmetry, we study in details the case of
$OSP(1/2)$. Our results include the solutions of natural generalizations of
models with ordinary group symmetry: the $UOSP(1/2)_{k}$ WZW model with a
current current perturbation, the $UOSP(1/2)$ principal chiral model, and the
$UOSP(1/2)\otimes UOSP(1/2)/UOSP(1/2)$ coset models perturbed by the adjoint.
Graded parafermions are also discussed. A pattern peculiar to supergroups is
the emergence of another class of models, whose simplest representative is the
$OSP(1/2)/OSP(0/2)$ sigma model, where the (non unitary) orthosymplectic
symmetry is realized non linearly (and can be spontaneously broken). For most
models, we provide an integrable lattice realization. We show in particular
that integrable $osp(1/2)$ spin chains with integer spin flow to $UOSP(1/2)$
WZW models in the continuum limit, hence providing what is to our knowledge the
first physical realization of a super WZW model.
