{"paper":{"title":"Five-Brane Superpotentials, Blow-Up Geometries and SU(3) Structure Manifolds","arxiv_id":"1011.6375","primary_cat":"hep-th","submitted_at":"2010-11-29T21:00:04+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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configuration.","hedge":{"p":0.97,"label":"asserted"},"own_p":0.93,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.34,"role_probabilities":{"gap":0.0,"method":0.04,"result":0.01,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.95,"interpretation":0.0}},{"i":2,"p":0.65,"id":"s2","own":true,"role":"contribution","text":"The higher order potential is also determined by a brane superpotential which we compute for a subset of light deformations.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.07,"quantitative":false,"quantitative_p":0.11,"role_probabilities":{"gap":0.0,"method":0.01,"result":0.34,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.65,"interpretation":0.0}},{"i":3,"p":0.9,"id":"s3","own":true,"role":"interpretation","text":"We argue that these deformations map to new complex structure deformations of a non-Calabi-Yau manifold which is obtained by blowing up the brane-curve into a four-cycle and by replacing the brane by background fluxes.","hedge":{"p":0.45,"label":"hedged_possibility"},"own_p":0.75,"main_claim_p":0.31,"quantitative":false,"quantitative_p":0.06,"role_probabilities":{"gap":0.0,"method":0.01,"result":0.06,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.03,"interpretation":0.9}},{"i":4,"p":0.96,"id":"s4","own":true,"role":"interpretation","text":"This translates the original brane-bulk system into a unifying geometrical formulation.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.59,"main_claim_p":0.16,"quantitative":false,"quantitative_p":0.03,"role_probabilities":{"gap":0.0,"method":0.01,"result":0.01,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.02,"interpretation":0.96}},{"i":5,"p":0.49,"id":"s5","own":true,"role":"contribution","text":"Using this blow-up geometry we compute the complete set of open-closed Picard-Fuchs differential equations and identify the brane superpotential at special points in the field space for five-branes in toric Calabi-Yau hypersurfaces.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.18,"quantitative":false,"quantitative_p":0.11,"role_probabilities":{"gap":0.0,"method":0.17,"result":0.34,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.49,"interpretation":0.0}},{"i":6,"p":0.91,"id":"s6","own":true,"role":"interpretation","text":"This has an interpretation in open mirror symmetry and enables us to list compact disk instanton invariants.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.88,"main_claim_p":0.1,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.09,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.91}},{"i":7,"p":0.86,"id":"s7","own":true,"role":"future_work","text":"As a first step towards promoting the blow-up geometry to a supersymmetric heterotic background we propose a non-Kaehler SU(3) structure and an identification of the 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