Supersymmetry algebra cohomology II: Primitive elements in 2 and 3 dimensions

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.

19 pages; v3: matches published version; presentation of D=3 analysis streamlined; presentation of lemmas 2.3 and 2.5 improved; minor correction of misprints; minor change of title

Cited by in corpus (4)

• The Rational Higher Structure of M-theory
• Forms and algebras in (half-)maximal supergravity theories
• Supersymmetry algebra cohomology III: Primitive elements in four and five dimensions
• The action principle and the supersymmetrisation of Chern-Simons terms in eleven-dimensional supergravity