Analogs of Bol operators on superstrings.

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