{"id":"W4416872785","doi":"10.48550/arxiv.2507.00349","title":"$(d,σ)$-twisted Affine-Virasoro superalgebras","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Lie superalgebra; Simple Lie group; Simple (philosophy); Automorphism; Class (philosophy); Extension (predicate logic); Adjoint representation; Lie algebra; Representation of a Lie group","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002125768,0.0003929699,0.0002109418,0.0009121143,0.0008850911,0.0009644149,0.0005654421,0.000389282,0.002519729],"category_scores_gemma":[0.0003125645,0.0001665608,0.0004655387,0.0006376757,0.001065891,0.001329903,0.0008826324,0.0006432045,0.0007223399],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006233039,"about_ca_system_score_gemma":0.0004532525,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001475482,"about_ca_topic_score_gemma":0.001194831,"domain_scores_codex":[0.9998048,0.00002643374,0.00001479793,0.00003758945,0.00006524238,0.00005117852],"domain_scores_gemma":[0.9998674,0.000008259879,0.0000212826,0.00002149949,0.00003737603,0.00004400706],"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":[0.0000195441,0.00001886502,0.0006434623,0.00001958952,0.00000511954,0.0001827105,0.0003345507,0.0008393078,0.008416396,0.9793233,0.0006080923,0.009589042],"study_design_scores_gemma":[0.00001413891,0.00005769958,0.00190975,0.00002053071,0.00001445547,0.0009683263,0.0004221219,0.01777869,0.01264329,0.949798,0.01632084,0.00005215334],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8199736,0.0005109338,0.09051518,0.0004550972,0.0002001896,0.00007090555,0.0002842606,0.0003776107,0.08761227],"genre_scores_gemma":[0.9594117,0.0003234067,0.0199008,0.0001945357,0.0001142444,0.00004931285,0.0003053578,0.00005347023,0.01964715],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002519729,"threshold_uncertainty_score":0.008429348,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08388796754405131,"score_gpt":0.3322155167683778,"score_spread":0.2483275492243265,"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."}}