{"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 fundamental symmetries are required for all operators in the SMEFT framework.", "goal": "Determine the correct set of symmetries that must be respected by all operators in the SMEFT."}, "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 that the laws of physics are the same for all observers regardless of their relative motion; Poincare symmetry, which combines Lorentz symmetry with translational symmetry in spacetime; and CPT symmetry, which states that the laws of physics should remain invariant when charge, parity, and time are reversed. CP symmetry, while important, is not universally required for all operators in SMEFT. Therefore, the correct answer includes Lorentz symmetry, Poincare symmetry, and CPT symmetry."}