{"paper":{"title":"Linearly resummed hydrodynamics in a weakly curved spacetime","arxiv_id":"1502.08044","primary_cat":"hep-th","submitted_at":"2015-02-27T20:24:01+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-1.13-20260917 on the question bank abstract-p1-20260923, exactly as returned. 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coupling.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.09,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.39,"role_probabilities":{"gap":0.0,"method":0.13,"result":0.0,"background":0.86,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.0}},{"i":2,"p":0.85,"id":"s2","own":false,"role":"background","text":"The AdS/CFT correspondence relates black brane solutions of the Einstein gravity in asymptotically \\emph{locally} $\\textrm{AdS}_5$ geometry to relativistic conformal fluids in a weakly curved 4D background.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.1,"main_claim_p":0.09,"quantitative":false,"quantitative_p":0.41,"role_probabilities":{"gap":0.0,"method":0.14,"result":0.0,"background":0.85,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.0}},{"i":3,"p":0.77,"id":"s3","own":true,"role":"method","text":"To linear order in the amplitude of hydrodynamic variables and metric perturbations, the fluid's energy-momentum tensor is computed with derivatives of both the fluid velocity and background metric resummed to all orders.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.88,"main_claim_p":0.18,"quantitative":false,"quantitative_p":0.38,"role_probabilities":{"gap":0.0,"method":0.77,"result":0.04,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.19,"interpretation":0.0}},{"i":4,"p":0.46,"id":"s4","own":true,"role":"contribution","text":"We extensively discuss the meaning of all order hydrodynamics by expressing it in terms of the memory function formalism, which is also suitable for practical simulations.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.88,"main_claim_p":0.09,"quantitative":false,"quantitative_p":0.08,"role_probabilities":{"gap":0.0,"method":0.25,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.46,"interpretation":0.29}},{"i":5,"p":0.89,"id":"s5","own":true,"role":"result","text":"In addition to two viscosity functions discussed at length in refs.~\\cite{1406.7222,1409.3095}, we find four curvature induced structures coupled to the fluid via new transport coefficient functions.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.31,"quantitative":true,"quantitative_p":0.96,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.89,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.11,"interpretation":0.0}},{"i":6,"p":0.96,"id":"s6","own":false,"role":"background","text":"In ref.~\\cite{0905.4069}, the latter were referred to as gravitational susceptibilities of the fluid.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.04,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.08,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.96,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.04}},{"i":7,"p":0.68,"id":"s7","own":true,"role":"method","text":"We analytically compute these coefficients in the hydrodynamic limit, and then numerically up to large values of momenta.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.14,"quantitative":false,"quantitative_p":0.22,"role_probabilities":{"gap":0.0,"method":0.68,"result":0.09,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.23,"interpretation":0.0}}]},"compiled":{"main_claim":{"p":0.85,"text":"In addition to two viscosity functions discussed at length in refs.~\\cite{1406.7222,1409.3095}, we find four curvature induced structures coupled to the fluid via new transport coefficient functions.","location":"abstract s5","hedge_strength":{"p":1.0,"label":"asserted"}},"provenance":{"route":{"via":"OpenRouter","model":"classifier-1.13","endpoint":"https://openrouter.ai/api/v1/systemone","provider":"TypeSafe"},"packing":"one request per 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