ɑʄʄ(1|1)-trivial deformations of ɑʄʄ (2|1)-modules of weighted densities on the superspace ℝ½

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ɑʄʄ(1|1)-trivial deformations of ɑʄʄ (2|1)-modules of weighted densities on the superspace ℝ½

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Title: ɑʄʄ(1|1)-trivial deformations of ɑʄʄ (2|1)-modules of weighted densities on the superspace ℝ½
Author: Laraiedh, Ismail
Abstract: Over the (1|2)-dimensional real superspace, we study ɑʄʄ(1|1)-trivial deformations of the action of the affine Lie superalgebra ɑʄʄ (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.
URI: http://hdl.handle.net/10662/10327
Date: 2019


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