Representations of low-rank orthosymplectic superalgebras by superfield techniques

Abstract

Representations of Lie superalgebras may be realised as functions (superfields) on graded manifolds (suitably chosen onset spaces). The technique is illustrated for OSp(1/2) and OSp(2/2) with a review of well known results, and applied in the cases of OSp(3/2) and OSp(4/2) to construct some classes of irreducible representations.