The Coleman–Mandula theorem is a result in theoretical physics and quantum field theory, particularly in the context of the study of symmetries in fundamental interactions. The theorem addresses the possible symmetries of a quantum field theory that includes both spacetime symmetries (like Lorentz transformations and translations) and internal symmetries (such as gauge symmetries).
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Under standard assumptions on a nontrivial analytic relativistic S-matrix, the Coleman–Mandula theorem says that every continuous bosonic symmetry algebra is a direct sum of the Poincare algebra and an internal symmetry algebra.