{"knowledge_schema": {"broad_category": "Physics \u2192 Quantum Field Theory \u2192 Effective Field Theories", "refinement": "This problem pertains to the Standard Model Effective Field Theory (SMEFT) and the symmetries that must be respected by its operators.", "specific_scope": "The focus is on identifying which symmetries are fundamental and must be preserved in the formulation of operators within the SMEFT framework.", "goal": "Determine the correct set of symmetries that all operators in the SMEFT must respect."}, "summary": "In the context of the Standard Model Effective Field Theory (SMEFT), operators must respect certain fundamental symmetries. Lorentz symmetry and Poincare symmetry are essential as they ensure the theory is consistent with the principles of relativity. CPT symmetry is also a requirement due to the fundamental nature of quantum field theories. However, CP symmetry is not universally required for all operators in SMEFT, as some operators may violate CP symmetry. Therefore, the correct answer includes Lorentz symmetry, Poincare symmetry, and CPT symmetry, which corresponds to option 1: 1, 2, 4."}