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Coleman–Mandula theorem
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{{Short description|No-go theorem pertaining the triviality of space-time and internal symmetries}} In [[theoretical physics]], the '''Coleman–Mandula theorem''' is a [[no-go theorem]] stating that [[spacetime symmetries|spacetime]] and internal [[symmetry (physics)|symmetries]] can only combine in a trivial way. This means that the charges associated with internal symmetries must always transform as [[Lorentz scalar]]s. Some notable exceptions to the no-go theorem are [[conformal symmetry]] and [[supersymmetry]]. It is named after [[Sidney Coleman]] and [[Jeffrey Mandula]] who proved it in 1967 as the culmination of a series of increasingly generalized no-go theorems investigating how internal symmetries can be combined with spacetime symmetries.<ref name="CM">{{cite journal|last1=Coleman|first1=S.R.|authorlink1=Sidney Coleman|last2=Mandula|first2=J.|authorlink2=Jeffrey Mandula|date=1967|title=All Possible Symmetries of the S Matrix|url=|journal=Phys. Rev.|volume=159|issue=5|pages=1251–1256|doi=10.1103/PhysRev.159.1251 |pmid=|arxiv=|bibcode=1967PhRv..159.1251C |s2cid=|access-date=}}</ref> The supersymmetric generalization is known as the [[Haag–Łopuszański–Sohnius theorem]].
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