{"id":"W3031301686","doi":"10.1103/physrevresearch.2.043086","title":"Algebraic higher symmetry and categorical symmetry: A holographic and entanglement view of symmetry","year":2020,"lang":"en","type":"article","venue":"Physical Review Research","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","cited_by":150,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"National Natural Science Foundation of China; Guangdong Provincial Key Laboratory of Urology; Science and Technology Planning Project of Shenzhen Municipality; Simons Foundation; National Science Foundation","keywords":"Categorical variable; Homogeneous space; Symmetry (geometry); Algebraic number; Quantum entanglement; Anomaly (physics); Global symmetry; Rotational symmetry; Local symmetry","routes":{"ca_aff":true,"ca_fund":false,"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":[0.0007245485,0.0003399502,0.0004392082,0.001333355,0.001126002,0.002191288,0.0007291704,0.0009080305,0.002911698],"category_scores_gemma":[0.0009398284,0.000173345,0.0006702697,0.0005170583,0.006329651,0.005656214,0.001796463,0.001527036,0.0002829951],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00127829,"about_ca_system_score_gemma":0.0007509546,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001300126,"about_ca_topic_score_gemma":0.0006767961,"domain_scores_codex":[0.9994571,0.0001373831,0.00002387768,0.000084302,0.0002002462,0.00009716573],"domain_scores_gemma":[0.9993502,0.0001182241,0.00009822206,0.0002164267,0.000104936,0.0001119205],"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":[0.000004422113,0.000004743019,0.000104069,0.000009155531,0.000001503305,0.00002344573,0.0001148417,0.0002407593,0.0005939552,0.9975064,0.0001323441,0.001264326],"study_design_scores_gemma":[0.000005548754,0.00001776377,0.0003234776,0.00001111834,0.00000253702,0.0001235384,0.0001040198,0.003780118,0.0003211645,0.9919333,0.00336964,0.000007837499],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4389578,0.005681541,0.2627719,0.008921222,0.0005826545,0.00008668922,0.0004164524,0.0002891613,0.2822925],"genre_scores_gemma":[0.9658205,0.000878596,0.02472185,0.0004834055,0.000393864,0.00006580233,0.0001184852,0.00005135796,0.007466196],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002911698,"threshold_uncertainty_score":0.009740591,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04965915267490581,"score_gpt":0.3680462124617183,"score_spread":0.3183870597868125,"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."}}