Supersymmetry algebra cohomology IV: Primitive elements in all dimensions from D=4 to D=11

Abstract

The primitive elements of the supersymmetry algebra cohomology as defined in previous work are derived for standard supersymmetry algebras in dimensions D=5,...,11 for all signatures of the related Clifford algebras of gamma matrices and all numbers of supersymmetries. The results are presented in a uniform notation along with results of previous work for D=4, and derived by means of dimensional extension from D=4 up to D=11.

v1: 26 pages, no figures; v2: 28 pages, comments and explanations added (at the end of sections 4, 6.1, 8.1, 9, 10.1, 11, beginning of section 5, refs. [11,12]), minor improvements of text and formulas; v3: typos removed

References in corpus (3)

• Supersymmetry algebra cohomology III: Primitive elements in four and five dimensions
• Supersymmetry algebra cohomology II: Primitive elements in 2 and 3 dimensions
• Homology of Lie algebra of supersymmetries

Cited by in corpus (8)

• Differential cohomology in a cohesive infinity-topos
• The Rational Higher Structure of M-theory
• Forms and algebras in (half-)maximal supergravity theories
• M-theory from the Superpoint
• Superspace de Rham Complex and Relative Cohomology
• The action principle and the supersymmetrisation of Chern-Simons terms in eleven-dimensional supergravity
• Super Lie n-algebra extensions, higher WZW models, and super p-branes with tensor multiplet fields
• SUSY Invariants from the BRST Cohomology of the SOSO Model