Representations and particles of orthosymplectic supersymmetry generalization

Abstract

Orthosymplectic osp(1|2n) supersymmetry (alternative names: Generalized conformal supersymmetry with tensorial central charges, conformal M-algebra, parabose algebra) has been considered as an alternative to d-dimensional conformal superalgebra. Due to mathematical difficulties, even classification of its unitary irreducible representations (UIR’s) have not been entirely accomplished. We give this classification for n = 4 case (corresponding to four dimensional space-time) and then show how the discrete subset of these UIR’s can be constructed in a Clifford algebra variation of the Green’s ansatz.