Haag–Lopuszanski–Sohnius theorem

The Hague - Lopuszanski - Sohnius theorem theoretical physics (found in 1975 by Rudolf Haag Jan Lopuszanski and Martin Sohnius ) states that the symmetries of a consistent quantum field theory are not already maximum with a nontrivial combination of internal symmetry groups and the Poincare algebra ( Coleman - Mandula theorem), but only and exclusively with the involvement of supersymmetry ( SUSY ).

The ultimate way out of the no-go theorem (English ) by Coleman and Mandula was going to permit not only bosonic but also fermionic generators. In this way we obtain the supersymmetry between bosons and fermions. The fermionic generators only change the spin of the particles, all other quantum numbers are not affected. In particular, however, the SUSY generators and the four-momentum, the anticommutator of two SUSY generators commute provides a space-time transformation.