  Gaudin model based on the orthosymplectic Lie superalgebra osp(1|2) is
studied. The eigenvectors of the osp(1|2) invariant Gaudin hamiltonians are
constructed by algebraic Bethe Ansatz. Corresponding creation operators are
defined by a recurrence relation. Furthermore, explicit solution to this
recurrence relation is found. The action of the creation operators on the
lowest spin vector yields Bethe vectors of the model. The relation between the
Bethe vectors and solutions to the Knizhnik-Zamolodchikov equation of the
corresponding super-conformal field theory is established.
