Cohomology of osp(2|2) acting on spaces of linear differential operators on the superspace ℝ1|2
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We compute the first differential cohomology of the orthosymplectic Lie superalgebra osp(2|2) with coefficients in the superspace of linear differential operators acting on the space of weighted densities on the (1, 2)-dimensional real superspace. We also compute the same, but osp(1|2)-relative, cohomology. We explicitly give 1-cocycles spanning these cohomologies. This work is the simplest generalization of a result from .
Keywordsdifferential cohomology orthosymplectic Lie superalgebra differential operator superspace Lie algebra of contact vector fields
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