{"id":"W2950464970","doi":"10.1088/1126-6708/2009/03/027","title":"Index theorem for topological excitations on R<sup>3</sup>× S<sup>1</sup>and Chern-Simons theory","year":2009,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","cited_by":100,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; U.S. Department of Energy","keywords":"Atiyah–Singer index theorem; Physics; Gauge theory; Topological quantum number; Dirac operator; Topological index; Chern class; Chern–Simons theory; Quantum chromodynamics; Mathematical physics; Topology (electrical circuits); Quantum mechanics; Mathematics; Pure 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001339835,0.001058955,0.001476635,0.004055351,0.003269037,0.004226224,0.001695086,0.001381117,0.01135001],"category_scores_gemma":[0.00264005,0.0003050932,0.001083092,0.001701899,0.003119973,0.007580096,0.002583263,0.00243098,0.0009834821],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002586422,"about_ca_system_score_gemma":0.0007082691,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007764054,"about_ca_topic_score_gemma":0.000553114,"domain_scores_codex":[0.9994466,0.00009045068,0.00003606729,0.00008705156,0.0002101249,0.000129626],"domain_scores_gemma":[0.9986242,0.0004861034,0.0002102983,0.0001254757,0.0002133694,0.00034056],"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":[0.00002857802,0.00001249523,0.0001128464,0.00001702693,0.000004302079,0.00003596687,0.00007485852,0.0002047079,0.0003450449,0.9972779,0.0008394842,0.001046818],"study_design_scores_gemma":[0.00001624519,0.00001351527,0.0002362992,0.000008621215,0.000006449163,0.00007635574,0.0000404846,0.002931051,0.0003068158,0.9946973,0.001657073,0.000009712635],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5133579,0.002152055,0.1149941,0.006505643,0.001799226,0.0001128935,0.0007948009,0.0007090871,0.3595742],"genre_scores_gemma":[0.9497597,0.0007316973,0.01006537,0.0007299876,0.001152575,0.0001249395,0.000469401,0.0002127686,0.03675357],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01135001,"threshold_uncertainty_score":0.03796953,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01009945436438167,"score_gpt":0.2406400264110729,"score_spread":0.2305405720466912,"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."}}