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Loopholes
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.The Coleman-Mandula Theorem by Sascha Leonhardt