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

Abstract

We furnish an algebraic understanding of the inequivalent connectivities (computed up to $N\le 10$) 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.

15 pages, 5 figures

References in corpus (1)

• Refining the classification of the irreps of the 1D N-Extended Supersymmetry

Cited by in corpus (5)

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• On non-minimal N=4 supermultiplets in 1D and their associated sigma-models
• Adinkras, 0-branes, Holoraumy and the SUSY QFT/QM Correspondence
• One-dimensional sigma-models with N=5,6,7,8 off-shell supersymmetries
• Pure and entangled N=4 linear supermultiplets and their one-dimensional sigma-models