Deformation of modules of weighted densities on the superspace $${\mathbb{R}^{1|N}}$$ R 1 | N

Over the [Formula: see text]-dimensional real superspace, we compute the cohomology space of the affine Lie superalgebra [Formula: see text] with coefficient in a large class of [Formula: see text]-modules [Formula: see text]. We apply our results to the module [Formula: see text] of weight densities and the module [Formula: see text] of linear differential operators acting on a superspace of weighted densities. We study nontrivial deformations of the natural action of the Lie superalgebra [Formula: see text] on the direct sum of the superspaces of weighted densities.

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Cohomology of 𝔞𝔣𝔣(2) acting on some modules and deformations

Fraj

Laraiedh

Abdaoui

2017

Int. J. Geom. Methods Mod. Phys.

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Deformation of 𝔬𝔰𝔭(2|2)-modules of weighted densities on ℝ1|2

Ammar

Mtaouaa

2018

Int. J. Geom. Methods Mod. Phys.

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Deformation of modules of weighted densities on the superspace $${\mathbb{R}^{1|N}}$$ R 1 | N

Cited by 2 publications

References 11 publications

Cohomology of 𝔞𝔣𝔣(2) acting on some modules and deformations

Cohomology of 𝔞𝔣𝔣(2) acting on some modules and deformations

Deformation of 𝔬𝔰𝔭(2|2)-modules of weighted densities on ℝ1|2

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