{"id":"W1821791246","doi":"10.1103/physrevb.91.195134","title":"Bosonic anomalies, induced fractional quantum numbers, and degenerate zero modes: The anomalous edge physics of symmetry-protected topological states","year":2015,"lang":"en","type":"article","venue":"Physical Review B","topic":"Topological Materials and Phenomena","field":"Physics and Astronomy","cited_by":67,"is_retracted":false,"has_abstract":true,"ca_institutions":"Perimeter Institute","funders":"Division of Materials Research; Institut Périmètre de physique théorique; Ministero dello Sviluppo Economico; Industry Canada; Ontario Ministry of Economic Development and Innovation; National Natural Science Foundation of China; National Science Foundation; Government of Canada; John Templeton Foundation","keywords":"Physics; Degenerate energy levels; Monodromy; Symmetry breaking; Symmetry group; Mathematical physics; Topological quantum computer; Quantum mechanics; Quantum; Geometry; Pure mathematics; Mathematics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002451702,0.0002533345,0.0006086838,0.00001035207,0.0001122849,0.00004475137,0.0002251208,0.00003634637,0.0001293668],"category_scores_gemma":[0.00004849234,0.0001491933,0.0001365352,0.0002240059,0.0002006556,0.0001157117,0.0001516346,0.0002315191,0.00003510375],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002152549,"about_ca_system_score_gemma":0.00006786748,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003811654,"about_ca_topic_score_gemma":0.000001098548,"domain_scores_codex":[0.9985517,0.0002543288,0.0003561087,0.0003117658,0.0002285213,0.0002975858],"domain_scores_gemma":[0.9989902,0.0001888694,0.0002490701,0.0002867141,0.0001248463,0.0001602545],"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":[0.00006131864,0.0005197499,0.001615071,0.0002856353,0.0001319836,0.000001280393,0.000136362,0.00003003943,0.006583238,0.9865552,0.000297339,0.003782817],"study_design_scores_gemma":[0.0004475047,0.0003823417,0.001519913,0.000227116,0.0001309502,0.000002577739,0.0001285281,0.001353552,0.004491258,0.9893765,0.001579402,0.0003602866],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.993047,0.002723748,0.001459944,0.0006030531,0.00008983547,0.0004697638,0.000104391,0.00003022744,0.00147204],"genre_scores_gemma":[0.9984909,0.0003839336,0.0001754389,0.0002831938,0.0004952975,0.00008811784,0.00004308206,0.00001656676,0.00002348664],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005443886,"threshold_uncertainty_score":0.6083926,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04770299385419898,"score_gpt":0.3056720990126447,"score_spread":0.2579691051584458,"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."}}