The second cohomology spaces $\mathcal{K}(2)$ with coefficents in the superspace of weighted densities
Abstract
UDC 515.1
Over the $(1,2)$-dimensional supercircle, we investigate the second cohomology space associated the lie superalgebra $\mathcal{K}(2)$ of vector fields on the supercircle $S^{1|2}$ with coefficients in the space of weighted densities.
We explicitly give 2-cocycle spanning these cohomology spaces.
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