Supersymmetry algebra cohomology II: Primitive elements in 2 and 3 dimensions
Friedemann Brandt
TL;DR
This paper exhaustively computes the primitive elements of supersymmetry algebra cohomology in two and three dimensions across all signatures and numbers of supersymmetry sets, advancing the understanding of supersymmetry algebra structures.
Contribution
It provides a comprehensive calculation of primitive elements in supersymmetry algebra cohomology for D=2 and D=3, covering all signatures and supersymmetry counts, which was not previously done.
Findings
Complete classification of primitive elements in D=2 and D=3 supersymmetry algebra cohomology.
Results applicable to all signatures and supersymmetry numbers.
Enhances the mathematical understanding of supersymmetry algebra structures.
Abstract
The primitive elements of the supersymmetry algebra cohomology as defined in a companion paper are computed exhaustively for standard supersymmetry algebras in dimensions D=2 and D=3, for all signatures (t,D-t) and all numbers N of sets of supersymmetries.
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