Editing Coleman–Mandula theorem (section)

===Other limitations===

For other spacetime symmetries besides the Poincaré group, such as theories with a [[de Sitter space|de Sitter background]] or non-relativistic [[classical field theory|field theories]] with [[Galilean invariance]], the theorem no longer applies.<ref>{{cite journal|last1=Fotopoulos|first1=A.|authorlink1=|last2=Tsulaia|first2=M.|authorlink2=|date=2010|title=On the Tensionless Limit of String theory, Off - Shell Higher Spin Interaction Vertices and BCFW Recursion Relations|url=|journal=JHEP|volume=2010|issue=11|pages=086|doi=10.1007/JHEP11(2010)086|pmid=|arxiv=1009.0727|bibcode=2010JHEP...11..086F |s2cid=119287675|access-date=}}</ref> It also does not hold for [[discrete symmetry|discrete symmetries]], since these are not Lie groups, or for [[spontaneous symmetry breaking|spontaneously broken symmetries]] since these do not act on the S-matrix level and thus do not commute with the S-matrix.<ref>{{cite journal|last1=Fabrizio|first1=N.|authorlink1=|last2=Percacci|first2=R.|authorlink2=|date=2008|title=Graviweak Unification|url=|journal=J. Phys. A|volume=41|issue=7|pages=075405|doi=10.1088/1751-8113/41/7/075405|pmid=|arxiv=0706.3307|bibcode=2008JPhA...41g5405N |s2cid=15045658|access-date=}}</ref>