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

Physics NotePublished

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

Zhanna Kuznetsova

01/31/2008

Authors: Zhanna Kuznetsova
Type: Physics Note
Status: Published
Publication date: 31/01/2008
Description: 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.
Year: 2007
Linked to a thesis: No
Linked to a grant: No