Extracta Mathematicae (Dec 2019)

aff(1|1)-trivial deformations of aff(2|1)-modules of weighted densities on the superspace

  • Ismail Laraiedh

Journal volume & issue
Vol. 34, no. 2

Abstract

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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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