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

DOI10.1142/S0219887818500779zbMath1390.17008arXiv1611.08147MaRDI QIDQ4635340

Wafa Mtaouaa, Mabrouk Ben Ammar

Publication date: 16 April 2018

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.08147

zbMATH Keywords

deformationorthosymplectic superalgebraweighted densities

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Superalgebras (17A70) Formal methods and deformations in algebraic geometry (14D15)

Cites Work

• Unnamed Item
• \(\mathfrak{sl}(2)\)-trivial deformations of \(\text{Vect}_{\text{Pol}}(\mathbb R)\)-modules of symbols
• Construction of miniversal deformations of Lie algebras
• Cohomology of \(\mathfrak {osp}(2|2)\) acting on spaces of linear differential operators on the superspace \(\mathbb{R}^{1|2}\)
• Deformation of \(\mathfrak{vect}(1)\)-modules of symbols
• Deformation of modules of weighted densities on the superspace \(\mathbb{R}^{1| N}\)
• Deformation of \(\mathfrak{sl}(2)\) and \(\mathfrak{osp}(1| 2)\)-modules of symbols
• Cohomology of \({\mathfrak{osp}}(1|2)\) acting on linear differential operators on the supercircle \(S^{1|1}\)
• Deformations of Modules of Differential Forms
• The spaces Hn(osp(1∣2),M) for some modules M
• Cohomology of the Lie Superalgebra of Contact Vector Fields on 𝕂^1|1 and Deformations of the Superspace of Symbols
• Deformations of homomorphisms of Lie groups and Lie algebras
• On the cohomology of \(\text{sl}(m+1,\mathbb R)\) acting on differential operators and \(\text{sl}(m+1,\mathbb R)\)-equivariant symbol
• Lie superalgebras of string theories.

This page was built for publication: Deformation of 𝔬𝔰𝔭(2|2)-modules of weighted densities on ℝ1|2