{"id":"W1999346823","doi":"10.1088/1126-6708/2009/03/094","title":"Topological expansion of the Bethe ansatz, and non-commutative algebraic geometry","year":2009,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":44,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal","funders":"Fonds Québécois de la Recherche sur la Nature et les Technologies; Agence Nationale de la Recherche; European Science Foundation","keywords":"Mathematics; Bethe ansatz; Symplectic geometry; Commutative property; Noncommutative geometry; Algebraic geometry; Algebraic curve; Pure mathematics; Topology (electrical circuits); Integrable system; Combinatorics","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":[0.00008724575,0.00010333,0.000256833,0.00002489331,0.00008267176,0.00001487004,0.0001696295,0.00003245297,0.00002141604],"category_scores_gemma":[0.00000388258,0.00005964088,0.0001607087,0.0001429175,0.00009411514,0.00009807437,0.00004203905,0.0001973035,3.418397e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000008529147,"about_ca_system_score_gemma":0.00004506873,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005498667,"about_ca_topic_score_gemma":5.074472e-7,"domain_scores_codex":[0.999324,0.00005638795,0.0002546925,0.00007311572,0.0001688581,0.0001229462],"domain_scores_gemma":[0.9993243,0.00008071521,0.0003044061,0.0001420189,0.00009395777,0.00005455502],"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":[0.00006829543,0.000493552,0.003656478,0.00000628971,0.000181998,0.000005180154,0.0007433073,0.0008343023,0.005268178,0.9238696,0.0003918034,0.06448106],"study_design_scores_gemma":[0.0007706922,0.0004697329,0.04913662,0.0000613127,0.00007583206,0.00000711322,0.0005381476,0.0001853513,0.06234331,0.8858544,0.0004067058,0.0001507962],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9802275,0.0000691168,0.01828573,0.0004313677,0.0001280033,0.00002194484,0.0000119605,0.0000017998,0.0008226172],"genre_scores_gemma":[0.9981838,0.00001484329,0.0009934572,0.0001427166,0.0005760845,2.644638e-7,0.000002362837,0.000005884954,0.0000805844],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06433026,"threshold_uncertainty_score":0.2432085,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007793857849356378,"score_gpt":0.2425869344844785,"score_spread":0.2347930766351221,"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."}}