The binary invariant differential operators on weighted densities on the superspace R1∣n and cohomology
The binary invariant differential operators on weighted densities on the superspace R1∣n and cohomology
Over the (1,n)-dimensional real superspace, n>1, we classify K(n)-invariant binary differential operators acting on the superspaces of weighted densities, where K(n) is the Lie superalgebra of contact vector fields. This result allows us to compute the first differential cohomology of K(n) with coefficients in the superspace of linear differential operators …