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Coleman–Mandula theorem
(section)
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===Quantum groups=== Models with [[principle of locality|nonlocal]] symmetries whose charges do not act on multiparticle states as if they were a [[tensor product]] of one-particle states, evade the theorem.<ref>{{cite journal|last1=Bernard|first1=D.|authorlink1=|last2=LeClair|first2=A.|authorlink2=|date=1991|title=Quantum group symmetries and non-local currents in 2D QFT|url=https://doi.org/10.1007/BF02099173|journal=Communications in Mathematical Physics|volume=142|issue=1|pages=99–138|doi=10.1007/BF02099173|pmid=|arxiv=|bibcode=1991CMaPh.142...99B |s2cid=119026420|access-date=}}</ref> Such an evasion is found more generally for [[quantum group]] symmetries which avoid the theorem because the corresponding algebra is no longer a Lie algebra.
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