{"paper":{"title":"Stability of Holographic Superconductors","arxiv_id":"1007.5002","primary_cat":"hep-th","submitted_at":"2010-07-28T15:04:56+00:00","version_compiled":"v2"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13-20260917 on the question bank abstract-p1-20260923, exactly as returned. 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symmetry.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.95,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.25,"role_probabilities":{"gap":0.0,"method":0.97,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.03,"interpretation":0.0}},{"i":2,"p":0.86,"id":"s2","own":true,"role":"result","text":"We prove the stability of the vector sector by explicitly constructing the positive definite Hamiltonian.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.97,"main_claim_p":0.12,"quantitative":false,"quantitative_p":0.09,"role_probabilities":{"gap":0.0,"method":0.04,"result":0.86,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.1,"interpretation":0.0}},{"i":3,"p":0.78,"id":"s3","own":true,"role":"method","text":"To reveal a mechanism for the stabilization of a superconducting phase, we construct a quadratic action for the scalar sector.","hedge":{"p":0.92,"label":"asserted"},"own_p":0.96,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.1,"role_probabilities":{"gap":0.0,"method":0.78,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.22,"interpretation":0.0}},{"i":4,"p":0.9,"id":"s4","own":true,"role":"result","text":"From the action, we see the stability of black holes near a critical point is determined by the equation of motion for a charged scalar field.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.92,"main_claim_p":0.11,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.01,"result":0.9,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.03,"interpretation":0.06}},{"i":5,"p":0.99,"id":"s5","own":true,"role":"result","text":"We show the effective mass of the charged scalar field in hairy black holes is always above the Breitenlohner-Freedman bound near the critical point due to the backreaction of a gauge 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