11-cocycles on the group of contactomorphisms on the supercircles S1|1S1|1 and S1|2S1|2 generalizing the Schwarzian derivative

We give an explicit construction of the 11-cocycles of the group of contactomorphisms on the supercircle S1|mS1|m for m=1,2, with coefficients in the space of differential operators acting on S1|mS1|m-tensor densities. We show that they satisfy properties similar to those of the super-Schwarzian derivative.