Supersymmetry algebra cohomology III: Primitive elements in four and five dimensions
Friedemann Brandt

TL;DR
This paper computes the primitive elements of supersymmetry algebra cohomology in four and five dimensions across all metric signatures and supersymmetry counts, extending previous work.
Contribution
It provides a comprehensive calculation of primitive elements in supersymmetry algebra cohomology for various dimensions, signatures, and supersymmetry numbers.
Findings
Primitive elements identified for 4D and 5D supersymmetry algebras.
Results applicable to all metric signatures and supersymmetry counts.
Extends previous cohomology computations to higher dimensions.
Abstract
The primitive elements of the supersymmetry algebra cohomology as defined in a previous paper are computed for standard supersymmetry algebras in four and five dimensions, for all signatures of the metric and any number of supersymmetries.
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