The Second Cohomology Spaces K(2) with Coefficients in the Superspace of Weighted Densities
Résumé
Over the (1, 2)-dimensional supercircle, we investigate the second cohomology space associated with the Lie superalgebra K(2) of vector fields on the supercircle S-1 vertical bar 2 with coefficients in the space of weighted densities. We explicitly give the 2-cocycle spanning for these cohomology spaces.