{"id":"W4414433673","doi":"10.48550/arxiv.2508.20184","title":"$su(2)$ symmetry of XX spin chains","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Quantum many-body systems","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Symmetry (geometry); Chain (unit); Spin (aerodynamics); Symmetry group; Transverse plane; Exact solutions in general relativity; Order (exchange)","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002155658,0.0002801869,0.0002590194,0.0004128471,0.000763659,0.001127013,0.0004116395,0.0004832215,0.004176076],"category_scores_gemma":[0.0004193748,0.0001445368,0.0002585462,0.000251755,0.001211787,0.001190438,0.0008187544,0.0003832675,0.0003272753],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002076901,"about_ca_system_score_gemma":0.0002924975,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004069934,"about_ca_topic_score_gemma":0.000441192,"domain_scores_codex":[0.9998652,0.00002661326,0.000006419388,0.00001889435,0.00004153792,0.00004138039],"domain_scores_gemma":[0.9998466,0.00002688039,0.00003165122,0.00004398936,0.00001588345,0.00003494884],"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":[0.00005150485,0.00004265177,0.0004433748,0.00003274144,0.000005555308,0.0002389867,0.0001581858,0.004950161,0.01600707,0.9740305,0.0004744725,0.003564823],"study_design_scores_gemma":[0.00005320342,0.0001107921,0.001344263,0.00002057716,0.000009311209,0.0003430344,0.0001561129,0.1070738,0.01042883,0.8776876,0.002746553,0.00002582151],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9257224,0.0001686693,0.03638238,0.000213469,0.00009390357,0.00002046033,0.00007407141,0.00007687032,0.03724773],"genre_scores_gemma":[0.9909174,0.0001269571,0.003763762,0.0000653034,0.00005466965,0.00002455257,0.00006460331,0.00003282099,0.004950017],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004176076,"threshold_uncertainty_score":0.01397038,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02723241065180487,"score_gpt":0.2892066564668709,"score_spread":0.2619742458150661,"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."}}