Irreducible representations of supersymmetric quantum mechanics
Abstract
We present an algorithmic classification of the linear irreducible representations of the N extended onedimensional supersymmetry algebra. The analysis is based on the properties of the Clifford algebras associated to the representations of N extended supersymmetry. The classification is given in three levels: (I) up to the number of bosonic (or ferrnionic) fields entering an irreducible multiplet, (2) up to the number of fields with different mass dimensions (fields content) for each N, and (3) up to the connectivities of the associated graphs for a given field content.
 Publication:

Reports on Mathematical Physics
 Pub Date:
 April 2008
 DOI:
 10.1016/S00344877(08)800171
 Bibcode:
 2008RpMP...61..295K