{"id":"W3194040532","doi":"10.1007/s11005-022-01548-9","title":"First cohomologies of affine, Virasoro, and lattice vertex operator algebras","year":2022,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Manitoba; Pacific Institute for the Mathematical Sciences","funders":"Pacific Institute for the Mathematical Sciences","keywords":"Vertex operator algebra; Mathematics; Pure mathematics; Cohomology; Lattice (music); Conjecture; Affine transformation; Vertex (graph theory); Virasoro algebra; Lie algebra; Mathematical physics; Physics; Algebra over a field; Combinatorics; Current algebra; Algebra representation; Jordan algebra; Cellular algebra","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":[0.0002461092,0.0001957369,0.0004689588,0.00004236107,0.0001294009,0.00002308323,0.0003174481,0.00004988799,0.0002083656],"category_scores_gemma":[0.0002548771,0.0001784115,0.00007764818,0.0002238177,0.0001605001,0.00008969776,0.0003841377,0.000313434,0.00000399543],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000617104,"about_ca_system_score_gemma":0.00001736925,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000929792,"about_ca_topic_score_gemma":0.000001520849,"domain_scores_codex":[0.9986112,0.00009506223,0.0004017259,0.0002556241,0.0003788648,0.0002575428],"domain_scores_gemma":[0.9983983,0.001041201,0.0001273931,0.0003666344,0.00002149768,0.00004498361],"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":[0.00002283945,0.000198576,0.0003017432,0.0002859181,0.00003751218,0.00001162281,0.001092585,0.0001497601,0.0005004985,0.9959098,0.001314242,0.0001748736],"study_design_scores_gemma":[0.0005866747,0.00007187065,0.0001841451,0.00004332488,0.00003652024,0.00001018308,0.0002392348,0.00171762,0.0005180695,0.9963135,0.00008227555,0.000196579],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.99431,0.00004837625,0.003257484,0.001094199,0.0002640377,0.0003190145,0.000009125401,0.00005220023,0.0006455209],"genre_scores_gemma":[0.9916094,0.000004594894,0.007484962,0.0006925708,0.00006276572,0.00007208763,0.000001959472,0.00003359457,0.00003808973],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004227477,"threshold_uncertainty_score":0.727541,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02291562276186215,"score_gpt":0.2605121962910209,"score_spread":0.2375965735291587,"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."}}