# How many elementary particles are predicted by Wigner's classification?

My understanding is that when it comes to the correspondence between representation theory and particle physics, every irreducible representation of the Poincare group has a corresponding fundamental particle.

My questions are as follows:

1. are all of the currently known fundamental particles predicted to exist by this correspondence idea?

2. does the traditional $$ISO(3,1)$$ Poincare group/algebra predict the existence of supersymmetric particles? If not, what superalgebra is needed?

• – SRS May 31 '20 at 15:36
• To clarify: Wigner's classification doesn't predict the existence of particles. It only classifies whatever particles happen to exist. Can questions 1 and 2 be re-worded in a way that still makes sense after that clarification? (For example, 1. do all of the currently known fundamental particles respect Wigner's classification?) – Chiral Anomaly May 31 '20 at 15:49