Relative cohomology spaces for some osp(n|2)-modules

In this work, we describe the H-invariant, so(n)-relative cohomology of a natural class of osp(n|2)-modules M, for n ≠ 2. The Lie superalgebra osp(n|2) can be realized as a superalgebra of vector fields on the superline R1|n. This yields canonical actions on spaces of densities and differential oper...

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Bibliographic Details
Published in:Journal of mathematical physics 2018-10, Vol.59 (10)
Main Authors: Arnal, Didier, Ben Ammar, Mabrouk, Mtaouaa, Wafa, Selmi, Zeineb
Format: Article
Language:English
Subjects:
Mathematical Physics
Physics
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Summary:In this work, we describe the H-invariant, so(n)-relative cohomology of a natural class of osp(n|2)-modules M, for n ≠ 2. The Lie superalgebra osp(n|2) can be realized as a superalgebra of vector fields on the superline R1|n. This yields canonical actions on spaces of densities and differential operators on the superline. The above result gives the zero, first, and second cohomology spaces for these modules of densities and differential operators.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.5026103