and
physics, mathematical physics, philosophy of physics
theory (physics), model (physics)
experiment, measurement, computable physics
Axiomatizations
Tools
Structural phenomena
Types of quantum field thories
The analog of unitary representation of the Poincaré group for the super Poincaré group: supersymmetry.
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)
Daniel Freed, Lecture 3 of Five lectures on supersymmetry
Antoine Van Proeyen, Tools for supersymmetry (arXiv:hep-th/9910030)
The classification is due to
The analogous discussion generalized to parasupersymmetry? is in
Expositional slides: