aff(1|1)-trivial deformations of aff(2|1)-modules of weighted densities on the superspace
Keywords:
Relative cohomology, trivial deformation, Lie superalgebra, symbolAbstract
Over the (1|2)-dimensional real superspace, we study aff(1|1)-trivial deformations of the action of the affine Lie superalgebra aff(2|1) on the direct sum of the superspaces of weighted densities. We compute the necessary and sufficient integrability conditions of a given infinitesimal deformation of this action and we prove that any formal deformation is equivalent to its infinitisemal part.
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