Types of quantum field thories
An irreducible representation of the super Poincaré Lie algebra is called a super multiplet. This is in general itself a super vector space which contains an ordinary irreducible unitary representation of the Poincaré group. Via the Wigner classification of fundamental particles with Poincaré irreps, this may be identified with a bosonic relativistic particle of some mass – together with the images of these “bosonic” elements under the odd generators: the superpartners of the bosonic particles.
Reviews and lecture notes include
V. Varadarajan, Unitary representations of super Lie groups (pdf)
The classification is due to
The analogous discussion generalized to parasupersymmetry? is in