Analogs of Bol operators on superstrings

The Bol operators are unary differential between spaces of weighted densities on the 1-dimensional manifold invariant under projective transformations manifold. On [Formula: see text]-dimensional supermanifold (superstring) text], we classify analogs simple maximal subalgebra text] same rank as its ambient superalgebra vector fields and containing all elements negative degree in a text]-grading. We also consider Lie superalgebras preserving contact structure superstring text]. have discovered many new operators.