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

2013/03/31 by Friedemann Brandt · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #hep-th

paper · pdf · doi:10.1063/1.4804953

published as J. Math. Phys. 54, 052302 (2013) · 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

openalex publication_date 2013/05/01 · arxiv created 2013/05/20 · arxiv updated 2013/05/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

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