Coleman-Mandula theorem

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The 1967 Sidney Coleman and Jeffrey Mandula found Coleman Mandula- Theorem is a no-go theorem (Engl.) Of the theoretical physics that in a very general assumption is based (for example, existence and nontriviality the S-matrix , not degenerate vacuum and no massless Elementary particles ). It says that any Lie algebra that contains the Poincaré group and an internal symmetry group must be a direct product of these two groups. An external (space-time) symmetry can only be combined trivially with an internal symmetry. The tensor symmetries are already maximal with the generators of the Poincaré group.

Rudolf Haag , Jan Łopuszański and Martin Sohnius were able to show in 1975 ( Haag-Łopuszański-Sohnius theorem ) that the addition of anti-commutating generators allowed the only possible, non-trivial extension of the Poincaré algebra to a so-called super algebra (see also supersymmetry ) .

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