====== The Coleman-Mandula Theorem ====== Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party. * {{ :theorems:colemanmandula.pdf |The Coleman-Mandula Theorem}} by Sascha Leonhardt **Loopholes** * For a nice discussion, see Section 5.2 "Living without Supersymmetry" in [[http://archiv.ub.uni-heidelberg.de/volltextserver/23860/1/New%20Symmetry%20Concepts%20for%20Spacetime%20and%20Unification.pdf|New Symmetry Concepts for Spacetime and Unification]] by Sebastian Ohmer.
There are also symmetries that are not captured by the theorem at all. These symmetries are for example discrete symmetries and spontaneously broken symmetries. The latter being symmetries that do not act on the S-matrix level and therefore evading the requirement to commute with S. Rather, these symmetries are symmetries of the action of the theory and are spontaneously broken before any calculation.{{ :theorems:colemanmandula.pdf |The Coleman-Mandula Theorem}} by Sascha Leonhardt
The Coleman-Mandula theorem is often invoked as a motivation for [[theories:speculative_theories:supersymmetry|Supersymmetry]]. /**/ /**/