{"paper":{"title":"99.9...% of the SU(2) BFSS ground state","arxiv_id":"2611.09837","primary_cat":"hep-th","submitted_at":"2026-11-06T18:23:23+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. 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gap.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.13,"quantitative":false,"quantitative_p":0.12,"role_probabilities":{"gap":0.0,"method":0.08,"result":0.76,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.16,"interpretation":0.0}},{"i":2,"p":0.74,"id":"s2","own":false,"role":"method","text":"For SU(2) specifically, the representation theory of the singlet sector gives an astronomical reduction in the number of degrees of freedom.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.26,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.14,"role_probabilities":{"gap":0.0,"method":0.74,"result":0.02,"background":0.16,"limitation":0.01,"future_work":0.0,"contribution":0.05,"interpretation":0.02}},{"i":3,"p":0.98,"id":"s3","own":true,"role":"method","text":"This allows us to construct an efficient variational basis whose inner products we compute exactly.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.98,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.02,"interpretation":0.0}},{"i":4,"p":0.99,"id":"s4","own":true,"role":"result","text":"We demonstrate the method by computing a state that satisfies rigorous bounds on its energy $E\\,g_{\\mathrm{YM}}^{-2/3}\\leq 4.18\\times10^{-8}$ and ground-subspace overlap $\\|P_{\\ker H}\\psi\\|^2\\geq 0.999997$.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.97,"main_claim_p":0.58,"quantitative":true,"quantitative_p":0.99,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.99,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.0}},{"i":5,"p":0.99,"id":"s5","own":true,"role":"result","text":"We compute ground-state moments with high precision, finding values consistent with the bounds from our matrix 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