{"id":"W3012133874","doi":"","title":"Symmetry-protected topological phases with charge and spin symmetries: Response theory and dynamical gauge theory in two and three dimensions","year":2013,"lang":"en","type":"article","venue":"DSpace@MIT (Massachusetts Institute of Technology)","topic":"Topological Materials and Phenomena","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Physics; Charge (physics); Gauge theory; Global symmetry; Spin (aerodynamics); Symmetry group; Topological order; Symmetry (geometry); Gauge boson; Central charge; Homogeneous space; Topology (electrical circuits); Quantum mechanics; Mathematical physics; Symmetry breaking; Spontaneous symmetry breaking; Quantum; Geometry","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000566432,0.0003587649,0.0006191661,0.0004245553,0.0001871488,0.00006043949,0.0002190361,0.0002194718,0.0002378901],"category_scores_gemma":[0.0003406063,0.0002472385,0.00003922343,0.0005037063,0.002098176,0.0002341765,0.000333674,0.0004164171,0.000005842001],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002475737,"about_ca_system_score_gemma":0.00003799494,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002549384,"about_ca_topic_score_gemma":0.00005234761,"domain_scores_codex":[0.9982902,0.0001905323,0.0003682424,0.0005604369,0.0001314986,0.0004591029],"domain_scores_gemma":[0.998886,0.0003302704,0.0001783177,0.0003954792,0.00007373568,0.0001362165],"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":[0.0007436214,0.0002012348,0.04277391,0.00002425497,0.00009908873,0.00001470928,0.00007571741,8.565572e-7,0.03074211,0.9189351,0.00001270306,0.006376654],"study_design_scores_gemma":[0.003798609,0.001274692,0.0601152,0.0002218716,0.0001040863,0.00003640664,0.0008948264,0.00009480592,0.01231221,0.918959,0.001439005,0.0007492453],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9935681,0.0006907838,0.001211458,0.002815562,0.00007269258,0.0007503703,0.0001403085,0.0001219817,0.0006287271],"genre_scores_gemma":[0.9962747,0.00003806564,0.003312235,0.00008870885,0.000030494,0.0001371003,0.000009801623,0.00002030466,0.00008863748],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0184299,"threshold_uncertainty_score":0.999998,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00800214181539743,"score_gpt":0.2484702045416165,"score_spread":0.2404680627262191,"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."}}