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

• Ismail Laraied ^{[1] [2]}
  1. [1] University of Sfax

     University of Sfax

     Túnez

     
  2. [2] Shaqra University

     Shaqra University

     Arabia Saudí

     
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 34, Nº 2, 2019, págs. 269-283
• Idioma: inglés
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• Resumen

  • 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.