{"id":"W2110485169","doi":"10.1088/1126-6708/2009/09/072","title":"<i>S</i>-duality, 't Hooft operators and the operator product expansion","year":2009,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","cited_by":38,"is_retracted":false,"has_abstract":false,"ca_institutions":"Perimeter Institute","funders":"Institut Périmètre de physique théorique; Natural Sciences and Engineering Research Council of Canada; Government of Canada","keywords":"Operator product expansion; Operator (biology); Mathematical physics; Displacement operator; Ladder operator; Shift operator; Energy operator; Wilson loop; Observable; Physics; Compact operator; Semi-elliptic operator; Quasinormal operator; Gauge theory; Mathematics; Pure mathematics; Finite-rank operator; Quantum mechanics; Differential operator; Energy (signal processing); Extension (predicate logic)","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001342011,0.00072786,0.000633356,0.001627033,0.001471855,0.002999427,0.001024671,0.001643977,0.007932063],"category_scores_gemma":[0.001712524,0.000364661,0.000900396,0.001049676,0.003867951,0.004951333,0.001367874,0.00243796,0.001033396],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006671396,"about_ca_system_score_gemma":0.0007406662,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001039054,"about_ca_topic_score_gemma":0.0007348092,"domain_scores_codex":[0.9995896,0.0001467612,0.00002464149,0.00005097099,0.0001122944,0.00007574019],"domain_scores_gemma":[0.9994863,0.0001911826,0.000077367,0.00005449702,0.00008896602,0.0001016962],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001005552,0.00001079786,0.00003149008,0.00001121444,0.000001831221,0.00004159307,0.00007645907,0.0001850367,0.0003716216,0.9971802,0.0007914963,0.001288084],"study_design_scores_gemma":[0.000004588477,0.000008388587,0.000071641,0.000006469537,0.000001425795,0.00008988829,0.00002863396,0.003232246,0.0001438089,0.9953867,0.001020392,0.000005815006],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.3161434,0.00866827,0.2566196,0.01397858,0.00343169,0.00006884637,0.0003324948,0.0005789614,0.4001782],"genre_scores_gemma":[0.8968236,0.002098725,0.03758096,0.001900007,0.002121433,0.0000602614,0.0001553855,0.0003099337,0.05894974],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007932063,"threshold_uncertainty_score":0.02653539,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005352252272388716,"score_gpt":0.2187626118970223,"score_spread":0.2134103596246336,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}