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

Journal Article · Wed May 15 00:00:00 EDT 2013 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4804953· OSTI ID:22163007

Brandt, Friedemann ^[1]

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1. Institut fuer Theoretische Physik, Leibniz Universitaet Hannover, Appelstrasse 2, D-30167 Hannover (Germany)

The primitive elements of the supersymmetry algebra cohomology as defined in previous work are derived for standard supersymmetry algebras in dimensions D= 5, Horizontal-Ellipsis , 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.

• OSTI ID: 22163007
• Journal Information: Journal of Mathematical Physics, Vol. 54, Issue 5; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
97 MATHEMATICAL METHODS AND COMPUTING
ALGEBRA
CLIFFORD ALGEBRA
MANY-DIMENSIONAL CALCULATIONS
SUPERSYMMETRY