{"id":"W4281617852","doi":"10.48550/arxiv.2206.00194","title":"Cosets from equivariant W-algebras","year":2022,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Vertex operator algebra; Lie conformal algebra; Pure mathematics; Vertex (graph theory); Lie algebra; Affine Lie algebra; Universal enveloping algebra; Langlands dual group; Algebra over a field; Combinatorics; Algebra representation; Current algebra; Jordan algebra","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","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002585589,0.0004963225,0.0006302959,0.0002124307,0.0002658986,0.00005512769,0.001585278,0.0003952659,0.00477042],"category_scores_gemma":[0.0003100233,0.0006271968,0.0003393462,0.0003536564,0.0001511083,0.0001538878,0.004311014,0.001576388,0.0001737394],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006848525,"about_ca_system_score_gemma":0.0002199584,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001776185,"about_ca_topic_score_gemma":0.00007011919,"domain_scores_codex":[0.9973725,0.0002489779,0.0003623421,0.001328937,0.0002002348,0.0004869809],"domain_scores_gemma":[0.9964345,0.0007356502,0.0004962901,0.002037487,0.00009578078,0.0002002986],"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":[0.00005272254,0.0001761729,0.0006474759,0.00008695083,0.0002583747,0.00101087,0.0002436574,0.003736078,0.00003007087,0.992063,0.001532297,0.0001622769],"study_design_scores_gemma":[0.0005821376,0.0000447247,0.0002145521,0.00007058369,0.0002509035,0.00000316993,0.0002565274,0.003331298,0.0001065122,0.9902332,0.004266607,0.0006397932],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8408737,0.0001379843,0.1346735,0.000108442,0.001988262,0.0006780268,0.0004834873,0.0006096425,0.02044696],"genre_scores_gemma":[0.9818002,0.0001370114,0.01004966,0.0001535807,0.0002753884,0.000004763824,0.0001887342,0.000105968,0.007284665],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1409265,"threshold_uncertainty_score":0.9996179,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1574955682444022,"score_gpt":0.250725886432698,"score_spread":0.09323031818829577,"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."}}