Editing Coleman–Mandula theorem (section)

===Supersymmetry===

The Coleman–Mandula theorem assumes that the only symmetry algebras are [[Lie algebra]]s, but the theorem can be generalized by instead considering [[Lie superalgebra]]s. Doing this allows for additional [[commutator#ring theory|anticommutating]] generators known as [[supercharge]]s which transform as [[spinor]]s under [[Lorentz transformation]]s. This extension gives rise to the [[super-Poincaré algebra]], with the associated symmetry known as supersymmetry. The Haag–Łopuszański–Sohnius theorem is the generalization of the Coleman–Mandula theorem to Lie superalgebras, with it stating that supersymmetry is the only new spacetime dependent symmetry that is allowed. For a theory with massless particles, the theorem is again evaded by conformal symmetry which can be present in addition to supersymmetry giving a [[superconformal algebra]].