{"knowledge_schema": {"broad_category": "Physics \u2192 Quantum Field Theory \u2192 Effective Field Theories", "refinement": "This problem pertains to the symmetries that must be respected by operators in the Standard Model Effective Field Theory (SMEFT).", "specific_scope": "The focus is on identifying which symmetries (Lorentz, Poincare, CP, and CPT) are fundamental requirements for the operators in SMEFT.", "goal": "Determine the correct set of symmetries that all operators in SMEFT must respect."}, "summary": "In the context of the Standard Model Effective Field Theory (SMEFT), operators must respect certain fundamental symmetries. The relevant symmetries include Lorentz symmetry, which ensures the laws of physics are the same for all observers; Poincare symmetry, which combines Lorentz symmetry with translational invariance; and CPT symmetry, which states that the laws of physics should remain invariant under the combined transformations of charge conjugation (C), parity transformation (P), and time reversal (T). CP symmetry, while important, is not a requirement for all operators in SMEFT. Therefore, the correct answer includes Lorentz symmetry, Poincare symmetry, and CPT symmetry, which corresponds to option 1 (1,2,4)."}