Haag–Łopuszański–Sohnius theorem

Target entity: Haag–Łopuszański–Sohnius theorem
Context triple: [Coleman–Mandula theorem, inspired, Haag–Łopuszański–Sohnius theorem]

• A. Haag’s theorem
  Haag’s theorem is a result in axiomatic quantum field theory showing that the interaction picture cannot be consistently defined for interacting fields in the same Hilbert space as free fields, undermining the standard formulation of quantum field theory.
• B. Gell-Mann–Low theorem
  The Gell-Mann–Low theorem is a fundamental result in quantum field theory that rigorously connects interacting quantum fields to free fields via the adiabatic switching-on of interactions, underpinning the use of perturbation theory and the Dyson series.
• C. Bogoliubov–Parasyuk theorem
  The Bogoliubov–Parasyuk theorem is a fundamental result in quantum field theory that rigorously establishes a systematic procedure for renormalizing divergent Feynman diagrams.
• D. Łoś's theorem
  Łoś's theorem is a fundamental result in model theory that characterizes the truth of first-order formulas in ultraproducts by showing they hold exactly when they are true in "almost all" component structures.
• E. Coleman–Mandula theorem
  The Coleman–Mandula theorem is a foundational result in theoretical physics that severely restricts how spacetime and internal symmetries can be combined in a unified quantum field theory, showing that only a direct product of these symmetries is generally allowed.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Haag–Łopuszański–Sohnius theorem
Target entity description: The Haag–Łopuszański–Sohnius theorem is a foundational result in theoretical physics that classifies all possible symmetries of relativistic quantum field theories by showing that supersymmetry provides the unique nontrivial extension of the Poincaré symmetry consistent with a nontrivial S-matrix.

• A. Haag’s theorem
  Haag’s theorem is a result in axiomatic quantum field theory showing that the interaction picture cannot be consistently defined for interacting fields in the same Hilbert space as free fields, undermining the standard formulation of quantum field theory.
• B. Gell-Mann–Low theorem
  The Gell-Mann–Low theorem is a fundamental result in quantum field theory that rigorously connects interacting quantum fields to free fields via the adiabatic switching-on of interactions, underpinning the use of perturbation theory and the Dyson series.
• C. Bogoliubov–Parasyuk theorem
  The Bogoliubov–Parasyuk theorem is a fundamental result in quantum field theory that rigorously establishes a systematic procedure for renormalizing divergent Feynman diagrams.
• D. Łoś's theorem
  Łoś's theorem is a fundamental result in model theory that characterizes the truth of first-order formulas in ultraproducts by showing they hold exactly when they are true in "almost all" component structures.
• E. Coleman–Mandula theorem
  The Coleman–Mandula theorem is a foundational result in theoretical physics that severely restricts how spacetime and internal symmetries can be combined in a unified quantum field theory, showing that only a direct product of these symmetries is generally allowed.
• F. None of above. chosen