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In theoretical physics, the Coleman–Mandula theorem is a no-go theorem stating that spacetime and internal symmetries can only combine in a trivial way. This means that the charges associated with internal symmetries must always transform as Lorentz scalars. 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. The supersymmetric generalization is known as the Haag–Łopuszański–Sohnius theorem.

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  • Coleman-Mandula-Theorem (de)
  • Teorema de Coleman-Mandula (es)
  • Coleman–Mandula theorem (en)
  • Teorema di Coleman-Mandula (it)
  • 콜먼-맨듈라 정리 (ko)
  • Teorema de Coleman–Mandula (pt)
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  • In theoretical physics, the Coleman–Mandula theorem is a no-go theorem stating that spacetime and internal symmetries can only combine in a trivial way. This means that the charges associated with internal symmetries must always transform as Lorentz scalars. 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. The supersymmetric generalization is known as the Haag–Łopuszański–Sohnius theorem. (en)
  • El teorema de Coleman–Mandula (debido a Sidney Coleman y Jeffrey Mandula) es un teorema de imposibilidad en física teórica.​ Declara que "las simetrías espaciotemporales y las simetrías internas no pueden ser combinadas, salvo de manera trivial" en aquellas teorías de campo que cumplen ciertas suposiciones.​ En este caso, (que incluye las teorías que podemos considerar realistas), las únicas cantidades conservadas posibles son escalares de Lorentz. (es)
  • Il teorema di Coleman–Mandula, prende il nome da Sidney Coleman and , è un "no-go theorem" in fisica teorica. Esso afferma che le sole quantità conservate a parte i generatori del gruppo di Poincaré, devono essere scalari di Lorentz. Il teorema Coleman–Mandula è uno dei principi di base su cui si basa la teoria della supersimmetria; in quanto si può affermare che i generatori di supersimmetria devono soddisfare delle relazioni di anticommutazione. (it)
  • 양자장론에서 콜먼-맨듈라 정리(영어: Coleman–Mandula theorem)는 대부분의 이론에서는 각운동량과 4차원 운동량을 제외한 모든 연속적 보존량은 로런츠 스칼라라는 정리다. 여기서 "대부분의 이론"이란 질량 간극을 가지고 상호작용을 하는 로런츠 공변 이론이다. (ko)
  • Na física teórica, o teorema de Coleman–Mandula é um teorema de impossibilidade e foi descoberto pelos físicos Sidney Coleman e Jeffrey Mandula. Ele estabelece que a única quantidade conservada de energia com um intervalo de massa numa teoria realista deve ser um . (pt)
  • Das 1967 von Sidney Coleman und Jeffrey Mandula gefundene Coleman-Mandula-Theorem ist ein (engl.) der theoretischen Physik, das auf sehr allgemeinen Annahmen beruht (zum Beispiel Existenz und Nichttrivialität der S-Matrix, nichtentartetes Vakuum und keine masselosen Elementarteilchen). Es besagt, dass jede Lie-Algebra, welche die Poincaré-Gruppe und eine interne Symmetriegruppe enthält, ein direktes Produkt dieser beiden Gruppen sein muss. Eine externe (raum-zeitliche) Symmetrie kann also nur trivial mit einer internen Symmetrie kombiniert werden. Die tensoralen Symmetrien sind somit bereits mit den Generatoren der Poincaré-Gruppe maximal. (de)
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