Decomposition and Oxidation of the N-Extended Supersymmetric Quantum Mechanics Multiplets

Details Decomposition and Oxidation of the N-Extended Supersymmetric Quantum Mechanics Multiplets Decomposition and Oxidation of the N-Extended Supersymmetric Quantum Mechanics Multiplets

2007-12-19

arxiv.org/abs/0712.3176v1

Int.J.Mod.Phys.A23:3947-3962,2008

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 5 figures

Scientific paper

10.1142/S0217751X08042274

We furnish an algebraic understanding of the inequivalent connectivities (computed up to $N\leq 10$) of the graphs associated to the irreducible supermultiplets of the N-extended Supersymmetric Quantum Mechanics. We prove that the inequivalent connectivities of the N=5 and N=9 irreducible supermultiplets are due to inequivalent decompositions into two sets of N=4 (respectively, N=8) supermultiplets. "Oxido-reduction" diagrams linking the irreducible supermultiplets of the N=5,6,7,8 supersymmetries are presented. We briefly discuss these results and their possible applications.

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